2017
48
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0
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1

Numerical and Economic Study of Performance of Centrifugal Pump as Turbine
https://jcamech.ut.ac.ir/article_63159.html
10.22059/jcamech.2017.232024.137
1
In this paper, performance of centrifugal pump as turbine (PAT) is investigated numerically. Three different specific speeds are considered and three pumps are designed using diagrams from catalogues and CFturbo V.9 software. Next, models are analyzed by Ansys CFX 16 software and results are compared with those of CFturbo software. Also, a mesh study analysis for one case is performed in order to show the effect of grid size on the solution. In addition, three different flow rates of 75%, 100%, and 125% of best efficiency point (BEP) are considered for extracting headflow rate diagrams and comparing results of CFX and CFturbo software. In next step, using relations between pump and turbine modes (PAT formulations) and by changing boundary conditions in CFX, turbine mode is investigated and efficiency is compared with pump mode. Finally, by an economic analysis a comparison between PATs and turbines with same nominal output powers are performed to distinguish which case is more profitable. Results showed that PATs have lower payback time in comparison with turbines with equal output power (in low capacities), although they have lower efficiencies.
0

151
160


Amir
Bahreini
Mechanical college of Khajeh Nasir Toosi University of Technology, Tehran, Iran
Iran
ammirbhr@email.kntu.ac.ir


Amirmohammad
Sattari
School of Mechanical Engineering, College of Engineering, University of Tehran, Tehran, Iran
Iran
amirmsattari@ut.ac.ir
Pump as turbine
numerical study
specific speed
Economic Analysis
[[1] M. Amelio and S. Barbarelli, “A onedimensional numerical model for calculating the efficiency of pumps as turbines for implementation in microhydro power plants,” in ASME 7th Biennial Conference on Engineering systems design and analysis, 2004, pp. 65–72.##[2]Y. SunSheng, K. FanYu, F. JianHui, and X. Ling, “Numerical research on effects of splitter blades to the influence of pump as turbine,” Int. J. Rotating Mach., vol. 2012, 2012.##[3]Y. Sunsheng, K. Fangyu, and S. Fei, “Numerical simulation and comparison of pump and pump as turbine,” in Proceedings of 3 rd Joint US2 European ASME Fluids Engineering Division Summer Meeting and 8th International Conference on Nanochannels, Microchannels, and Minichannels, Montreal, Canada, 2010.##[4]C. P. Kittredge, “Centrifugal pumps used as hydraulic turbines,” J. Eng. Power, vol. 83, no. 1, pp. 74–78, 1961.##[5]M. Gantar, “Propeller pumps running as turbines,” in Conference on hydraulic machinery, 1988.##[6]A. A. Williams, “The turbine performance of centrifugal pumps: a comparison of prediction methods,” Proc. Inst. Mech. Eng. Part A J. Power Energy, vol. 208, no. 1, pp. 59–66, 1994.##[7]A. A. Williams, “Pumps as turbines for low cost micro hydro power,” Renew. Energy, vol. 9, no. 1–4, pp. 1227–1234, 1996.##[8]H. Ramos and a. Borga, “Pumps as turbines: an unconventional solution to energy production,” Urban Water, vol. 1, no. 3, pp. 261–263, 1999.##[9]S. Rawal and J. T. Kshirsagar, “Numerical Simulation on a Pump Operating in a Turbine Mode,” TwentyThird Int. Pump Users Symp., pp. 21–28, 2007.##[10]E. C. Isbăşoiu, D. M. Bucur, C. M. Ghergu, and N. O. TÎRALĂ, “USING STANDARD PUMPS AS TURBINES,” in CEEX2007 Conference, 2007.##[11]S. Derakhshan and A. Nourbakhsh, “Experimental study of characteristic curves of centrifugal pumps working as turbines in different specific speeds,” Exp. Therm. Fluid Sci., vol. 32, no. 3, pp. 800–807, 2008.##[12]S. Derakhshan, B. Mohammadi, and A. Nourbakhsh, “Efficiency improvement of centrifugal reverse pumps,” J. Fluids Eng., vol. 131, no. 2, p. 21103, 2009.##[13]C. Santolaria Morros, J. M. Fernández Oro, and K. M. Argüelles Díaz, “Numerical modelling and flow analysis of a centrifugal pump running as a turbine: Unsteady flow structures and its effects on the global performance,” Int. J. Numer. Methods Fluids, vol. 65, no. 5, pp. 542–562, 2011.##[14]O. Fecarotta, a Carravetta, and M. Ramos, H, “CFD and Comparisons for a Pump as Turbine: Mesh Reliability and Performance Concerns,” Environ. Int. J. Energy, vol. 2, no. 1, pp. 39–48, 2011.##[15]S.S. Yang, S. Derakhshan, and F.Y. Kong, “Theoretical, numerical and experimental prediction of pump as turbine performance,” Renew. Energy, vol. 48, pp. 507–513, 2012.##[16]E. Dribssa, T. Nigussie, and B. Tsegaye, “PERFORMANCE ANALYSIS OF CENTRIFUGAL PUMP OPERATING AS TURBINE FOR IDENTIFIED MICRO / PICO HYDRO SITE OF ETHIOPIA,” Int. J. Eng. Res. Gen. Sci., vol. 3, no. 3, pp. 6–19, 2015.##[17]E. Frosina, D. Buono, and A. Senatore, “A Performance Prediction Method for Pumps as Turbines (PAT) Using a Computational Fluid Dynamics (CFD) Modeling Approach,” Energies, vol. 10, no. 1, p. 103, 2017.##[18]International Renewable Energy Agency (IRENA), “Hydropower,” 2012.##]
1

Accelerating highorder WENO schemes using two heterogeneous GPUs
https://jcamech.ut.ac.ir/article_63189.html
10.22059/jcamech.2017.238226.166
1
A doubleGPU code is developed to accelerate WENO schemes. The test problem is a compressible viscous flow. The convective terms are discretized using third to ninthorder WENO schemes and the viscous terms are discretized by the standard fourthorder central scheme. The code written in CUDA programming language is developed by modifying a singleGPU code. The OpenMP library is used for parallel execution of the code on both the GPUs. Data transfer between GPUs which is the main issue in developing the code, is carried out by defining halo points for numerical grids and by using a CUDA builtin function. The code is executed on a PC equipped with two heterogeneous GPUs. The computational times of different schemes are obtained and the speedups with respect to the singleGPU code are reported for different number of grid points. Furthermore, the developed code is analyzed by CUDA profiling tools. The analyze helps to further increase the code performance.
0

161
170


Hossein
Mahmoodi Darian
Faculty of Engineering Science, College of Engineering, University of Tehran
Iran
hmahmoodi@ut.ac.ir
MultiGPU
CUDA
OpenMP
WENO schemes
Compressible viscous flow
[[1]H. P. Le, J. L. Cambier, L. K. Cole, GPUbased flow simulation with detailed chemical kinetics, Computer Physics Communications, Vol. 184, No. 3, pp. 596606, 2013.##[2]A. KhajehSaeed, J. Blair Perot, Direct numerical simulation of turbulence using GPU accelerated supercomputers, Journal of Computational Physics, Vol. 235, pp. 241257, 2013.##[3]B. Tutkun, F. O. Edis, A GPU application for highorder compact finite difference scheme, Computers and Fluids, Vol. 55, pp. 2935, 2012.##[4]J. A. Ekaterinaris, Highorder accurate, low numerical diffusion methods for aerodynamics, Progress in Aerospace Sciences, Vol. 41, No. 34, pp. 192300, 2005.##[5]G. S. Jiang, C. W. Shu, Efficient implementation of weighted ENO schemes, Journal of Computational Physics, Vol. 126, No. 1, pp. 202228, 1996.##[6]X. D. Liu, S. Osher, T. Chan, Weighted Essentially Nonoscillatory Schemes, Journal of Computational Physics, Vol. 115, No. 1, pp. 200212, 1994.##[7]V. Esfahanian, K. Hejranfar, H. M. Darian, Implementation of highorder compact finitedifference method to parabolized NavierStokes schemes, International Journal for Numerical Methods in Fluids, Vol. 58, No. 6, pp. 659685, 2008.##[8]K. Heiranfar, V. Esfahanian, H. M. Darian, On the use of highorder accurate solutions of PNS schemes as basic flows for stability analysis of hypersonic axisymmetric flows, Journal of Fluids Engineering, Transactions of the ASME, Vol. 129, No. 10, pp. 13281338, 2007.##[9]S. K. Lele, Compact finite difference schemes with spectrallike resolution, Journal of Computational Physics, Vol. 103, No. 1, pp. 1642, 1992.##[10]H. Mahmoodi Darian, V. Esfahanian, K. Hejranfar, A shockdetecting sensor for filtering of highorder compact finite difference schemes, Journal of Computational Physics, Vol. 230, No. 3, pp. 494514, 2011.##[11]A. S. Antoniou, K. I. Karantasis, E. D. Polychronopoulos, J. A. Ekaterinaris, Acceleration of a finitedifference WENO scheme for largescale simulations on manycore architectures, in Proceeding of.##[12]V. Esfahanian, H. M. Darian, S. M. Iman Gohari, Assessment of WENO schemes for numerical simulation of some hyperbolic equations using GPU, Computers and Fluids, Vol. 80, No. 1, pp. 260268, 2013.##[13]H. M. Darian, V. Esfahanian, Assessment of WENO schemes for multidimensional Euler equations using GPU, International Journal for Numerical Methods in Fluids, Vol. 76, No. 12, pp. 961981, 2014.##[14]S. C. Lo, G. A. Blaisdell, A. S. Lyrintzis, Highorder shock capturing schemes for turbulence calculations, International Journal for Numerical Methods in Fluids, Vol. 62, No. 5, pp. 473498, 2010.##[15]H. C. Yee, N. D. Sandham, M. J. Djomehri, LowDissipative HighOrder ShockCapturing Methods Using CharacteristicBased Filters, Journal of Computational Physics, Vol. 150, No. 1, pp. 199238, 1999.##[16]M. Khoshab, A. A. Dehghan, V. Esfahanian, H. M. Darian, Numerical assessment of a shockdetecting sensor for low dissipative highorder simulation of shockvortex interactions, International Journal for Numerical Methods in Fluids, Vol. 77, No. 1, pp. 1842, 2015.##[17]N. Corporation, 2010, NVIDIA CUDA C Programming Guide,##]
1

Simulation of Stresses Induced by Heat and Mass Transfer in Drying Process of Claylike Material
https://jcamech.ut.ac.ir/article_63274.html
10.22059/jcamech.2017.236932.159
1
Drying represents one of the oldest unit operations employed in industrial processes. Drying is viewed as a process of simultaneous heat and mass transfer. Porous Claylike material undergoes stresses due to nonuniform distribution of temperature and moisture induced by heat and mass transfer respectively. The aim of this work is to simulate the stresses induced by heat and mass transfer during drying. A mathematical model to simulate the convective drying of a porous material like clay has been developed. The problem investigated involves highly coupled equations considering heat, mass, and mechanical aspects. The particularity of the model is that it takes into account the strong coupling between mass transport, heat transport and mechanical behavior of the material. The variables of coupling are the solid deformation, moisture content and temperature of porous medium. A numerical solution is sought to foresee the variation of moisture content, temperature, shrinkage, heat transfer induced stresses and mass transfer induced stresses during drying. The solution developed as a model is capable of predicting the quality of the product through a failure criterion. The model is validated through the comparison of simulated and experimental data. Simulation results show that the heat transfer induced stresses are significantly less important in compression with the mass transfer induced stresses and can be neglected in modeling of drying process.
0

171
184


Mohsen
Heydari
Ph.D. Student, Mech. Eng., University of Birjand, Birjand, Iran
Iran
m.heydari@birjand.ac.ir


Khalil
Khalili
Department of mechanical engineering, University of Birjand, Birjand,Iran
Iran
kkhalili@birjand.ac.ir


Yousef
Ahmadi
Assoc. Prof., Mech. Eng., University of Birjand, Birjand , Iran
Iran
s.y.ahmadi@birjand.ac.ir
Convective drying
modeling
Drying Stresses
Heat transfer
Mass Transfer
[[1] K. Chua, A. Mujumdar, M. Hawlader, S. Chou, J. Ho, Convective drying of agricultural products. Effect of continuous and stepwise change in drying air temperature, Drying Technology, Vol. 19, No. 8, pp. 19491960, 2001.##[2] G. Musielak, D. Mierzwa, Permanent strains in claylike material during drying, Drying Technology, Vol. 27, No. 78, pp. 894902, 2009.##[3] K. Khalili, S. y. AhmadiBrooghani, M. Bagherian, Experimental and numerical study of the ceramic drying process and cracking, Journal of Solid and Fluid Mechanics, Vol. 4, pp. 119129, 2014.##[4] M. Heydari, K. Khalili, Investigation on the Effect of Young's Modulus Variation on DryingInduced Stresses, Transport in Porous Media, Vol. 112, No. 2, pp. 519540, 2016.##[5] S. J. Kowalski, 2003, Thermomechanics of drying processes, Springer Berlin Heidelberg,##[6] M. Vasić, Ž. Grbavčić, Z. Radojević, Determination of the moisture diffusivity coefficient and mathematical modeling of drying, Chemical Engineering and Processing: Process Intensification, Vol. 76, pp. 3344, 2014.##[7] S. Chemkhi, F. Zagrouba, A. Bellagi, Mathematical model for drying of highly shrinkable media, Drying Technology, Vol. 22, No. 5, pp. 10231039, 2004.##[8] W. P. da Silva, C. M. D. P. da Silva, L. D. da Silva, V. S. de Oliveira Farias, Drying of clay slabs: experimental determination and prediction by twodimensional diffusion models, Ceramics International, Vol. 39, No. 7, pp. 79117919, 2013.##[9] M. R. Islam, A. Mujumdar, Role of product shrinkage in drying rate predictions using a liquid diffusion model, International communications in heat and mass transfer, Vol. 30, No. 3, pp. 391400, 2003.##[10] J. Esfahani, H. Majdi, E. Barati, Analytical twodimensional analysis of the transport phenomena occurring during convective drying: apple slices, Journal of Food Engineering, Vol. 123, pp. 8793, 2014.##[11] D. Mihoubi, A. Bellagi, Stress generated during drying of saturated porous media, Transport in porous media, Vol. 80, No. 3, pp. 519536, 2009.##[12] H. F. Oztop, E. K. Akpinar, Numerical and experimental analysis of moisture transfer for convective drying of some products, International Communications in Heat and Mass Transfer, Vol. 35, No. 2, pp. 169177, 2008.##[13] R. Lewis, M. Strada, G. Comini, Drying‐induced stresses in porous bodies, International Journal for Numerical Methods in Engineering, Vol. 11, No. 7, pp. 11751184, 1977.##[14] S. Chemkhi, W. Jomaa, F. Zagrouba, Application of a coupled thermohydromechanical model to simulate the drying of nonsaturated porous media, Drying technology, Vol. 27, No. 78, pp. 842850, 2009.##[15] K. Khalfaoui, S. Chemkhi, F. Zagrouba, Modeling and stress analysis during drying of a deformable and saturated porous medium, Drying technology, Vol. 31, No. 10, pp. 11241137, 2013.##[16] F. Couture, S. Laurent, M. A. Roques, Drying of two‐phase media: Simulation with liquid pressure as driven force, AIChE journal, Vol. 53, No. 7, pp. 17031717, 2007.##[17] F. Augier, W. Coumans, A. Hugget, E. Kaasschieter, On the risk of cracking in clay drying, Chemical Engineering Journal, Vol. 86, No. 1, pp. 133138, 2002.##[18] K. Khalili, M. Heydari, Studying the effect of part thickness on cracking during drying process, Modares Mechanical Engineering, Vol. 12, No. 3, pp. 103116, 2012.##[19] M. Ganjiani, A damage model incorporating dynamic plastic yield surface, Journal of Computational Applied Mechanics, Vol. 47, No. 1, pp. 1124, 2016.##[20] F. Pourcel, W. Jomaa, J.R. Puiggali, L. Rouleau, Criterion for crack initiation during drying: Alumina porous ceramic strength improvement, Powder Technology, Vol. 172, No. 2, pp. 120127, 2007.##[21] A. A. J. Ketelaars, Drying deformable media: Kinetics, shrinkage and stresses(Ph. D. Thesis), Thesis, University of Eindhoven 1993.##[22] S. Kowalski, G. Musielak, J. Banaszak, Experimental validation of the heat and mass transfer model for convective drying, Drying Technology, Vol. 25, No. 1, pp. 107121, 2007.##[23] M. Van Belleghem, M. Steeman, H. Janssen, A. Janssens, M. De Paepe, Validation of a coupled heat, vapour and liquid moisture transport model for porous materials implemented in CFD, Building and Environment, Vol. 81, pp. 340353, 2014.##[24] S. Chemkhi, F. Zagrouba, Water diffusion coefficient in clay material from drying data, Desalination, Vol. 185, No. 13, pp. 491498, 2005.##[25] B. A. Manel, D. Mihoubi, S. Jalila, B. Ahmed, Strain–stress formation during stationary and intermittent drying of deformable media, Drying technology, Vol. 32, No. 10, pp. 12451255, 2014.##[26] M. Heydari, K. Khalili, Modeling Enhancement and Simulation of Distortion in Drying Process, Modares Mechanical Engineering, Vol. 15, No. 10, pp. 291301, 2015.##[27] S. J. Kowalski, A. Rybicki, Rate of Drying and Stresses in the First Period of Drying, Drying Technology, Vol. 18, No. 3, pp. 583600, 2000.##[28] G. Musielak, Influence of the drying medium parameters on drying induced stresses, Drying Technology, Vol. 18, No. 3, pp. 561581, 2000.##[29] S. J. Kowalski, J. Banaszak, A. Rybicki, Plasticity in materials exposed to drying, Chemical Engineering Science, Vol. 65, No. 18, pp. 51055116, 2010.##[30] G. Caceres, D. Bruneau, W. Jomaa, Twophase shrinking porous media drying: a modeling approach including liquid pressure gradients effects, Drying Technology, Vol. 25, No. 12, pp. 19271934, 2007.##[31] K. Khalili, M. Heydari, M. Khalili, Drying Clay Bricks with Variable Young's Modulus, Procedia Technology, Vol. 12, pp. 382387, 2014.##[32] S. J. Kowalski, A. Rybicki, The vapourliquid interface and stresses in dried bodies, in: Drying of Porous Materials, Eds., pp. 4358: Springer, 2006.##[33] K. Khalili, M. Heydari, Numerical modeling of shrinkage of a ceramic material in drying process, Modares Mechanical Engineering, Vol. 12, No. 2, pp. 5871, 2012.##[34] I. Hammouda, D. Mihoubi, Modelling of drying induced stress of clay: elastic and viscoelastic behaviours, Mechanics of TimeDependent Materials, Vol. 18, No. 1, pp. 97111, 2014.##[35] J. Banaszak, S. J. Kowalski, Drying induced stresses estimated on the base of elastic and viscoelastic models, Chemical Engineering Journal, Vol. 86, No. 1, pp. 139143, 2002.##[36] D. Mihoubi, A. Bellagi, Modeling of heat and moisture transfers with stress–strain formation during convective air drying of deformable media, Heat and Mass Transfer, pp. 19, 2012.##[37] D. Mihoubi, A. Bellagi, Twodimensional heat and mass transfer during drying of deformable media, Applied Mathematical Modelling, Vol. 32, No. 3, pp. 303314, 2008.##[38] S. Kowalski, A. Pawłowski, Modeling of kinetics in stationary and intermittent drying, Drying Technology, Vol. 28, No. 8, pp. 10231031, 2010.##[39] K. Behrouzi, S. F. Chini, Evaluation of Evaporation Estimation Methods: a Case Study of Karaj Dam Lake, Journal of Computational Applied Mechanics, Vol. 48, No. 1, pp. 137150, 2017.##[40] W. P. da Silva, L. D. da Silva, V. S. de Oliveira Farias, C. M. D. P. da Silva, Water migration in clay slabs during drying: A threedimensional numerical approach, Ceramics International, Vol. 39, No. 4, pp. 40174030, 2013.##[41] I. Hammouda, K. Jlassi, D. Mihoubi, Changes in the physicomechanical characteristics of a ceramic paste during drying, Comptes Rendus Mécanique, Vol. 343, No. 7, pp. 419428, 2015.##[42] N. Shokri, D. Or, What determines drying rates at the onset of diffusion controlled stage‐2 evaporation from porous media?, Water Resources Research, Vol. 47, No. 9, 2011.##[43] N. Shokri, P. Lehmann, D. Or, Critical evaluation of enhancement factors for vapor transport through unsaturated porous media, Water resources research, Vol. 45, No. 10, 2009.##]
1

A new approach for nonlinear vibration analysis of thin and moderately thick rectangular plates under inplane compressive load
https://jcamech.ut.ac.ir/article_63295.html
10.22059/jcamech.2017.240726.181
1
In this study, a hybrid method is proposed to investigate the nonlinear vibrations of pre and postbuckled rectangular plates for the first time. This is an answer to an existing need to develope a fast and precise numerical model which can handle the nonlinear vibrations of buckled plates under different boundary conditions and plate shapes. The method uses the differential quadrature element, arclength, harmonic balance and direct iterative methods. The governing differential equations of plate vibration have been extracted considering shear deformations and the initial geometric imperfection. The solution is assumed to be the sum of the static and dynamic parts which upon inserting them into the governing equations, convert them into two sets of nonlinear differential equations for static and dynamic behaviors of the plate. First, the static solution is calculated using a combination of the differential quadrature element method and an arclength strategy. Then, putting the first step solutions into the dynamic nonlinear differential equations, the nonlinear frequencies and modal shapes of the plate are extracted using the harmonic balance and direct iterative methods. Comparing the obtained solutions with those published in the literature confirms the accuracy and the precision of the proposed method. The results show that an increase in the nonlinear vibration amplitude increases the nonlinear frequencies.
0

185
198


Hesam
Makvandi
Department of Mechanical Engineering, Shahid Chamran University of Ahvaz, Ahvaz, Iran
Iran
hmakvandi@phdscu.ac.ir


Shapour
Moradi
Department of Mechanical Engineering, Shahid Chamran University of Ahvaz, Ahvaz, Iran
Iran
moradis@scu.ac.ir


Davood
Poorveis
Department of Civil Engineering, Shahid Chamran University of Ahvaz, Ahvaz, Iran
Iran
dpoorveis@scu.ac.ir


Kourosh
Heydari Shirazi
Department of Mechanical Engineering, Shahid Chamran University of Ahvaz, Ahvaz, Iran
Iran
k.shirazi@scu.ac.ir
BUCKLED PLATE
DIFFERENTIAL QUADRATURE ELEMENT METHOD
DIRECT ITERATIVE METHOD
HARMONIC BALANCE METHOD
Nonlinear vibration
[[1] T. Wah, Large amplitude flexural vibration of rectangular plate, International Journal of Mechanical Science, Vol. 5, pp. 425438, 1963.##[2] C. Mei, Finite element displacement method for large amplitude free flexural vibrations of beams and plates, Computers & structures, Vol. 3, pp. 163174, 1973.##[3] N. Yamaki, M. Chiba, Nonlinear vibrations of clamped rectangular plate with initial deflection and initial edge displacement  part I: Theory., ThinWalled Structures, Vol. 1, pp. 329, 1983.##[4] C. Mei, K. Dechaumphai, A finite element method for nonlinear forced vibrations of rectangular plates, AIAA Journal, Vol. 23, No. 7, pp. 11041110, 1984.##[5] Kapania, R.K., T. Y. Yang, Buckling, postbuckling, and nonlinear vibrations of imperfect plates, AIAA Journal, Vol. 25, pp. 13381346, 1987.##[6] S. HuiShen, Postbuckling of rectangular plates under uniaxial compression combined with lateral pressure, Applied Mathematics and Mechanics, Vol. 10, pp. 5563, 1989.##[7] J. Woo, S. Nair, Nonlinear vibrations of rectangular laminated thin plates, AIAA Journal, Vol. 3, pp. 180188, 1992.##[8] E. Esmailzadeh, M. A. Jalali, Nonlinear oscillations of viscoelastic rectangular plates, Nonlinear dynamics, Vol. 18, pp. 311319, 1999.##[9] S. H. Chen, H. X. Cheung, H. X. Xing, Nonlinear Vibration of Plane Structures by Finite Element and Incremental Harmonic Balance Method, Nonlinear Dynamics, Vol. 26, No. 1, pp. 87–104, 2001.##[10] L. Azrar, E. H. Boutyour, M. PotterFerry, Nonlinear forced vibrations of plates by an asymptoticnumerical method, Journal of Sound and Vibration, Vol. 252, No. 4, pp. 657674, 2002.##[11] P. Ribeiro, A Hierarchical Finite Element for Geometrically Nonlinear Vibration of Thick Plates, Meccanica, Vol. 38, No. 1, pp. 117–132, 2003.##[12] K. E. Bikri, R. Benmar, M. Bennouna, Geometrically nonlinear free vibrations of clamped simply supported rectangular plates. Part I: the effects of large vibration amplitudes on the fundamental mode shape, Computers and Structures, Vol. 81, pp. 20292043, 2003.##[13] M. Amabili, Nonlinear vibrations of rectangular plates with different boundary conditions: theory and experiments, Computers and Structures, Vol. 82, pp. 25872605, 2004.##[14] M. Amabili, Nonlinear vibrations of doubly curved shallow shells, International Journal of Nonlinear Mechanics, Vol. 40, pp. 683710, 2005.##[15] M. Amabili, Theory and experiments for largeamplitude vibrations of rectangular plates with geometric imperfections, Journal of Sound and Vibration, Vol. 291, pp. 539565, 2006.##[16] M. A. Zarubinskaya, W. T. Van Horssen, On the Vibrations of a Simply Supported Square Plate on a Weakly Nonlinear Elastic Foundation, Nonlinear Dynamics, Vol. 40, No. 1, pp. 35–60, 2005.##[17] J. Girish, L. S. Ramchandra, Thermal postbuckled vibrations of symmetrically laminated composite plates with initial geometric imperfections, Journal of Sound and Vibration, Vol. 282, pp. 11371153, 2005.##[18] C. P. Fung, C. S. Chen, Imperfection sensitivity in the nonlinear vibration of functionally graded plates, European Journal of Mechanics, Vol. 25, pp. 425436, 2006.##[19] A. Shooshtari, S. E. Khadem, A multiple scale method solution for the nonlinear vibration of rectangular plates, Scientica Iranica, Vol. 14, pp. 6471, 2007.##[20] F. BakhtiariNejad, M. Nazari, Nonlinear vibration analysis of isotropic cantilever plate with viscoelastic laminate, Nonlinear Dynamics, Vol. 56, pp. 325, 2009.##[21] A. Houmat, Nonlinear free vibration of a shear deformable laminated composite annular elliptical plate, Acta Mechanica, pp. 208281, 2009.##[22] M. K. Singha, R. Daripa, Nonlinear vibration and dynamic stability analysis of composite plates, Journal of Sound and Vibration, Vol. 328, pp. 541554, 2009.##[23] M. M. Rashidi, A. Shooshtari, O. Anwar Beg, Homotopy perturbation study of nonlinear vibration of von Karman rectangular plates, Computers and Structures, pp. 4655, 2012.##[24] S. Hashemi, E. Jaberzadeh, A finite strip formulation for nonlinear free vibration of plates, in 15 WCEE, Lisbon, 2012.##[25] P. Malekzadeh, Differential quadrature large amplitude free vibration analysis of laminated skew plates based on FSDT, Composite Structures, Vol. 183, pp. 189200, 2008.##[26] P. Malekzadeh, M. Shojaee, Surface and nonlocal effects on the nonlinear free vibration on nonuniform nano beams, Composites: Part B, Vol. 82, pp. 8492, 2013.##[27] N. Ma, R. Wang, Q. Han, Y. Lu, Geometrically nonlinear dynamic response of stiffened plates with moving boundary conditions, Science China Physics, Mechanics & Astronomy, Vol. 57, No. 8, pp. 1536–1546, 2014.##[28] A. A. Yazdi, Homotopy perturbation method for nonlinear vibration analysis of functionally graded plate, Journal of Vibration and Acoustics, Vol. 135, No. 2, 2013.##[29] A. A. Yazdi, Assessment of Homotopy Perturbation Method for Study the Forced Nonlinear Vibration of Orthotropic Circular Plate on Elastic Foundation, Latin American Journal of Solid and Structures, Vol. 13, No. 2, pp. 243256, 2016.##[30] T. Detroux, L. Renson, G. Kerschen, The Harmonic Balance Method for Advanced Analysis and Design of Nonlinear Mechanical Systems, Nonlinear Dynamics, Vol. 2, pp. 1934, 2014.##[31] T. Detroux, L. Renson, G. Kerschen, The Harmonic Balance Method for Bifurcation Analysis of Nonlinear Mechanical Systems, Nonlinear Dynamics, Vol. 1, pp. 6582, 2016.##[32] T. Detroux, L. Renson, L. Masset, G. Kerschen, The harmonic balance method for bifurcation analysis of largescale nonlinear mechanical systems, Computer Methods in Applied Mechanics and Engineering, Vol. 296, No. 1838, 2015.##[33] A. Daneshmehr, Rajabpoor, A., Hadi, A., Size dependent free vibration analysis of nanoplates made of functionally graded materials based on nonlocal elasticity theory with high order theories, International Journal of Engineering Science, Vol. 95, pp. 2335, 2015.##[34] C. Liu, Ke, L.L., Yang, J., Kitipornchai, S., Sheng, Y., Buckling and postbuckling analysis of sizedependent piezoelectric nanoplates, Theoretical & Applied Mechanics Letters, Vol. 6, No. 6, pp. 253267, 2016.##[35] K. KrishnaBhaskar, K. MeeraSaheb, Effects of aspect ratio on large amplitude free vibrations of simply supported and clamped rectangular Mindlin plates using coupled displacement field method, Journal of Mechanical Science and Technology, Vol. 31, pp. 20932103, 2017.##[36] R. Bellman, B. G. Kashef, J. Casti, Differential Quadrature: A technique for the rapid solution of nonlinear partial differential equations, Journal of Computational Physics, Vol. 10, pp. 4045, 1972.##[37] J. R. Quan, C. T. Chang, New insights in solving distributed system of equations by quadraturemethod, Computers & Chemical Engineering, Vol. 13, pp. 10171024, 1982.##[38] X. Wang, Y. Wang, Free vibration analysis of multiplestepped beams by the differential quadrature element method, Applied Mathematics and Computation, Vol. 219, No. 11, pp. 58025810., 2013.##[39] X. Wang, 2015, Differential Quadrature and Differential Quadrature Based element Methods: Theory and Applications, ButterworthHeinemann,##[40] G. A. Wempner, Discrete approximation related to nonlinear theories of solids, International Journal of Solids and Structures, Vol. 7, pp. 15811599, 1971.##[41] A. Riks, The application of Newton’s method to the problem of elastic stability, Journal of Applied Mechanics, Vol. 39, pp. 10601065, 1972.##[42] B. D. R. Forde, S. F. Stiemer, Improved arc length orthogonality methods for nonlinear finite element analysis, Computers & Structures,, Vol. 27, pp. 625630, 1987.##[43] N. M. Krylov, N. N. Bogoliubov, 1943, Introduction to nonlinear mechanics, Princeton University Press,##[44] P. Ribeiro, M. Petyt, Geometrical nonlinear, steady state, forced, periodic vibration of plates, part 1: model and convergence studies, Journal of Sound and Vibration, Vol. 226, No. 5, pp. 955983, 1999.##]
1

Performance Improvements of a Centrifugal Pump with Different Impellers using Polymer Additive
https://jcamech.ut.ac.ir/article_63338.html
10.22059/jcamech.2017.234895.150
1
In this study, the performance of a centrifugal pump is investigated by adding polyacrylamide (PAM) polymer over the working fluid which is tap water in this case. PAM is a long chain polymer that leads to reduce the wall shear stress and drag in a turbulent fluid. Three different blade profiles including radial, straight backward and circular backward have been examined. For this purpose, a centrifugal pump test rig consists of reservoir, pumpmotor, volumetric measuring tank, pressure gauges, speed control, and motor dynamometer has been used. Different concentrations of PAM polymer solution are prepared in the range of 80240 ppm of PAM. The results show that the maximum amount of relative efficiency is approximately 3% for the radial propeller, 13% for the straight backward propeller, and 18% for the circular backward which is occurs at 160 ppm of PAM. It is found that this increase is more pronounced in the case of circular backward impeller. Moreover, in the case of radial blade profile, it is observed that in spite of efficiency increase, the head decreases at low flow rate with adding PAM.
0

199
206


Alireza
Riasi
School of Mechanical Engineering, College of Engineering, University of Tehran, Tehran, Iran.
Iran
ariasi@ut.ac.ir


Farzin
Dianatipoor
School of Mechanical Engineering, College of Engineering, University of Tehran, Tehran, Iran.
Iran
farzin.dianatipoor@gmail.com
drag reduction
water pumps
Polyacrylamide polymer
Efficiency
blade geometry
[[1] Bidhandi, M. E., Riasi, A., & Ashjaee, M. (2014). The influence of SiO 2 nanoparticles on cavitation initiation and intensity in a centrifugal water pump. Experimental Thermal and Fluid Science, 55, 7176.##[2] AbuYousef, I. A., Olson, J. A., Martinez, D. M., & Green, S. (2010, January). Pumping Performance Increase through the Addition of Turbulent DragReducing Polymers to Pulp Fibre Suspensions. In ASME 2010 International Mechanical Engineering Congress and Exposition (pp. 709718). American Society of Mechanical Engineers.##[3] Ogata, S., Kimura, A., & Watanabe, K. (2006). Effect of surfactant additives on centrifugal pump performance. Journal of Fluids Engineering, 128(4), 794798.##[4] Sellin, R. H. J., Hoyt, J. W., & Scrivener, O. (1982). The effect of dragreducing additives on fluid flows and their industrial applications part 1: basic aspects. Journal of Hydraulic Research, 20(1), 2968.##[5] Thomas, A., Gaillard, N., & Favero, C. (2012). Some key features to consider when studying acrylamidebased polymers for chemical enhanced oil recovery. Oil & Gas Science and Technology–Revue d’IFP Energies nouvelles, 67(6), 887902.##[6] Barvenik, F. W. (1994). Polyacrylamide characteristics related to soil applications. Soil Science, 158(4), 235243.##[7] Smook, G. A. (2002). Handbook for pulp & and paper technologists. Angus Wilde Publ., 218221.## [8] Yang, S. Q. (2009). Drag reduction in turbulent flow with polymer additives. Journal of Fluids Engineering, 131(5), 051301.##[9] Benzi, R. (2010). A short review on drag reduction by polymers in wall bounded turbulence. Physica D: Nonlinear Phenomena, 239(14), 13381345.##[10] Housiadas, K. D., & Beris, A. N. (2013). On the skin friction coefficient in viscoelastic wallbounded flows. International Journal of Heat and Fluid Flow, 42, 4967.## [11] Zhang, X., Liu, L., Cheng, L., Guo, Q., & Zhang, N. (2013). Experimental study on heat transfer and pressure drop characteristics of air–water twophase flow with the effect of polyacrylamide additive in a horizontal circular tube. International Journal of Heat and Mass Transfer, 58(1), 427440.##[12] Thomas, A., Gaillard, N., & Favero, C. (2012). Some key features to consider when studying acrylamidebased polymers for chemical enhanced oil recovery. Oil & Gas Science and Technology–Revue d’IFP Energies nouvelles, 67(6), 887902.##[13] Bjorneberg, D. L. (1998). Temperature, concentration, and pumping effects on PAM viscosity. Transactions of the ASAE, 41(6), 16511655.##[14] ASME V&V 20, Standard for Verification and Validation in Computational Fluid Dynamics and Heat Transfer, 2009.##]
1

Simulation of the Mode I fracture of concrete beam with cohesive models
https://jcamech.ut.ac.ir/article_63339.html
10.22059/jcamech.2017.235183.152
1
Crack propagation modeling in quasibrittle materials such as concrete is essential for improving the reliability and loadbearing capacity assessment. Crack propagation explains many failure characteristics of concrete structures using the fracture mechanics approach. This approach could better explain the softening behavior of concrete structures. A great effort has been made in developing numerical models; however, some models involve complex expressions with too many parameters, and the results are in some cases inaccurate. In this investigation, a numerical approach is developed to model the fracture process zone (FPZ). Based on the modified crack closure integral (MCCI) method, a new nonlinear spring is proposed to be placed between the interfacial node pairs to model crack propagation. A new strain energy release rates for Mode I is calculated as a function of opening in the softening part. Two benchmark beams are simulated by the ABAQUS software for the accuracy of cohesive zone model. The model decreases complexity of predicting crack propagation. It is observed that the cohesive zone model is robust, accurate and able to model the crack growth in the concrete beam. The prediction of the crack path is close to the experimental results (up to 90%). The peak loads had approximately 7.7% difference compared with the previous experimental loads. The accuracy of displacement in the present study is 15.9% compared with previously model at the same load intensity.
0

207
216


Shahriar
Shahbazpanahi
Department of Civil Engineering, Sanandaj Branch, Islamic Azad University, Sanandaj, Iran
Iran
sh.shahbazpanahi@gmail.com


Masoud
Paknahad
Faculty of Civil Engineering, Mahallat Institute of Higher Education, Mahallat, Iran
Iran
masoudpaknahad@gmail.com
ABAQUS
Fracture
Cohesive
propagation
Beam
[[1]Shahbazpanahi, S., Kamgar, A., 2015, A novel numerical model of debonding of FRPplated concrete beam. Journal of the Chinese Institute of Engineers, 8, 2432##[2]Shahbazpanahi, S.; Hejazi, F.; Paknahad, M.; Rahimipour, A.; Nassimi, M. R., 2018,Modeling crack propagation in RC beam–column joints. Tehnički Vjesnik  Tehnical Gazette, In Press##[3]Shi, Z. Crack analysis in stuctural concrete, theory and aplication; ButterworthHeinemann: Burlington, USA, 2009.##[4]Esfahani, M. R., 2007, Fracture mechanics of concrete, Tehran Polytechnic press: Tehran Iran.##[5]Shahbazpanahi, S.,2017, Mechanical analysis of a shearcracked RC beam. Acta Scientiarum. Technology , 39 (3), 285290.##[6]Kaplan, M. E., 1961, Crack propagation and the fracture concrete. ACI Journal, 58 (5), 591 610.##[7]Shi, Z., Ohtsu, M., Suzuki, M., Hibino, Y., 2001, Numerical analysis of multiple cracks in concrete using the discrete approach. J. Struct. Eng., 127 (9), 10851091.##[8]Shahbazpanahi, S., Ali, A. A. A., Aznieta, F. N., Kamgar, A., Farzadnia, N., 2013, A simple and practical model for FRPreinforced cracked beam. European Journal of Environmental and Civil Engineering, 18(3), 293306.##[9]Kiranea, K., Bazant, Z., 2015, Size effect in Paris law for quasibrittle materials analyzed by themicroplane constitutive model M7. Mechanics Research Communications, 6064.##[10]Dong, W., Yang, D., Kastiukas, G., Zhang, B., 2016, Experimental and numerical investigations on fracture process zone of rockconcrete interface. Fatigue and Fracture of Engineering Materials and Structures, 40(5), 820835.##[11]Ouzaa , K., Benmansour, M. B., 2014, Cracks in continuously reinforced concrete pavement. Arabian Journal for Science and Engineering, 39, 85938608.##[12]Shahbazpanahi, S., Ali, A. A. A., Aznieta, F. N., Kamkar, A., Farzadnia, N., 2013, Modelling of the fracture process zone to improve the crack propagation criterion in concrete. Journal of the South African Institution of Civil Engineering, 55 (3), 2 9.##[13]Biscaia, H. C., Chastre, C., Silva, M. A. G., 2014, Linear and nonlinear analysis of bondslip models for interfaces between FRP composites and concrete. Composites: Part B, 45, 15541568.##[14]Hillerborg, A., Modeer, M., Petersson, P. E., 1976, Analysis of crack formation and crack growth in concrete by means of mechanics and finite element. Cement and Concrete Research, 6, 773782.##[15]Dong, W., Wu, Z., Zhou, X., Dong , L., Kastiukas, G. FPZ evolution of mixed mode fracture in concrete: Experimental and numerical. Engineering Failure Analysis 2017, 75.##[16]Shahbazpanahi, S., Ali, a. a. a., Aznieta, F., Kamgar, A., Farzadnia, N., 2012, A simple method to model crack propagation in concrete. Constructii Journa, 13 (1), 4150.##[17]Yang, Z. J., Liu, G., 2008, Towards fully automatic modelling of the fracture process in quasibrittle and ductile materials: a unified crack growth criterion. Journal of Zhejiang university science, 9 (7), 18621775.##[18] Dugdale, D. S., 1960, Yielding of steel sheets containing slits. J Mech Phys Solid, 8 (2), 100104.##[19]Shahbazpanahi, S., Abang, A. A., Aznieta, F., Kamgar, A., Farzadnai, N. A, 2014, Theoretical method for fracture resistance of shear strengthened RC beams with FRP, 39(5), 35913597.##[20]Palmieri, V., Lorenzis, L. D., 2014, Multiscale modeling of concrete and of the FRPconcrete interface. Engineering Fracture Mechanics, 131, 150175.##[21]Said, A. M., Nehdi, M. L., 2004,Use of FRP for RC frames in seismic zones:Part I. Evaluation of FRP beamcolumn joint rehabilitation techniques. Applied Composite Materials, 11, 205226.##[22]Xie, D., Waas, A. M., 2006, Discrete cohesive zone model for mixedmode fracture using finite element analysis. Engineering Fracture Mechanics, 73 (13), 17831796.##[23]Xu, F., Wu, Z., Zheng, J., Zhao, Y., Liu, K., 2011, Crack extension resistance curve of concrete considering variation of FPZ length. J. Mate. Civ. Eng., ASCE, 23 (5), 703710.##[24]Simon, K. M., Kishen,. A, 2017, Multiscale approach for modeling fatigue crack growth in concrete. International Journal of Fatigue, 98, 113.##[25]Shokrieh, M. M., RajabpourShirazi, H., HeidariRarani, M., Haghpanahi, M., 2012, Simulation of mode I delamination propagation in multidirectional composites with Rcurve effects using VCCT method. Computational Materials Science, 65, 6673.##[26]Xie, D., Salvi, A. G., Sun, C., Waas, A. M., Caliskan, A. I., 2006, Discrete Cohesive Zone Model to Simulate Static Fracture in 2D Triaxially Braided Carbon Fiber Composites. Journal of Composite Materials 2006, 40(22), 2025 2046.##[27]Xie, D., Biggers, S. B. J., 2006, Progressive crack growth analysis using interface element based on the virtual crack closure technique. Finite Elements in Analysis and Design, 42 (11), 977  984.##[28]Jeang, F. L. Hawkins, N. M., 1985, Nonlinear analysis of concrete fracture; Report No. SM 852; University of Washington: USA.##[29]Wu, Z., Rong, H., Zheng, J., Xu, F., 2011, An experimental investigation on the FPZ properties in concrete using digital image correlation technique. Engineering Fracture Mechanics, 78 (17), 29782990.##[30]Arrea, M., Ingraffea, A. R., 1982, Mixedmode crack propagation in mortar and concrete, Report No. 8113, Department of Structural Engineering: Cornell University.##[31] Xie, M., Gerstle, W. H., 1995, Energybased cohesive crack propagation modeling. Journal of Engineering Mechanics, ASCE, 121 (12), 13491458.##[32]Bresler, B., Scordelis, A. C., 1963, Shear strength of reinforced concrete beams. American Concrete Institute, ACI, 60 (40), 5172.##[33] Yang, Z. J., Chen, j., 2005, Finite element modelling of multiple cohesive discrete crack propagation in reinforced concrete beams. Engineering Fracture Mechanics, 72 (14), 22802297.##]
1

Prediction of Temperature distribution in Straight Fin with variable Thermal Conductivity and Internal Heat Generation using Legendre Wavelet Collocation Method
https://jcamech.ut.ac.ir/article_63383.html
10.22059/jcamech.2017.241673.185
1
Due to increasing applications of extended surfaces as passive methods of cooling, study of thermal behaviors and development of mathematical solutions to nonlinear thermal models of extended surfaces have been the subjects of research in cooling technology over the years. In the thermal analysis of fin, various methods have been applied to solve the nonlinear thermal models. This paper focuses on the application of Legendre wavelet collocation method to the prediction of temperature distribution in longitudinal rectangular fin with temperaturedependent thermal conductivity and internal heat generation. The numerical approximations by the method are used to carry out parametric studies of the effects of the model parameters on the temperature distribution in the fin. The results show that the thermal performance of the fin is favoured at low values of thermogeometric parameter and internal heat generation decreases the performance of the fin. The results can serve as verification of the solutions of other methods of analysis of the component.
0

217
224


Lawrence
Jayesimi
Works and Physical Planning Department, University of Lagos, Akoka, Lagos, Nigeria.
Iran
ljayesimi@unilag.edu.ng


George
Oguntala
School of Electrical Engineering and Computer Science, Faculty of Engineering and Informatics, University of Bradford,
West Yorkshire, UK.
Iran
lawrence@yahoo.com
Legendre wavelet Collocation method
Longitudinal rectangular fin
Temperature distribution
Variable thermal conductivity
Variable internal heat generation
[[1] F. Khani, F. and A. Aziz. Thermal analysis of a longitudinal trapezoidal fin with temperature dependent thermal conductivity and heat transfer coefficient, Commun Nonlinear SciNumerSciSimult, 2010: 15(2010), 590–601.##[2]. L. P. Ndlovu and R. J. Moitsheki, R. J. Analytical Solutions for Steady Heat Transfer in Longitudinal Fins with TemperatureDependent Properties, Mathematical Problems in Engineering, vol. 2013, pp. 14 pages.##[3]. A. Aziz and S. M. EnamulHuq. Perturbation solution for convecting fin with temperature dependent thermal conductivity, J Heat Transfer, 97(1973), 300–301.##[4] A. Aziz, A. Perturbation solution for convecting fin with internal heat generation and temperature dependent thermal conductivity, Int. J Heat Mass Transfer, 20(1977), 12535.##[5] A. Campo and R. J. Spaulding “Coupling of the methods of successive approximations and undetermined coefficients for the prediction of the thermal behaviour of uniform circumferential fins,” Heat and Mass Transfer, 34(6) (1999), 461–468.##[6] C. Chiu and C. A. Chen .A decomposition method for solving the convectice longitudinal fins with variable thermal conductivity, International Journal of Heat and Mass Transfer 45(2002), 20672075.##[7]. A. A. Arslanturk, decomposition method for fin efficiency of convective straight fin with temperature dependent thermal conductivity, IntCommun Heat Mass Transfer, 32(2005), 831–841.##[8] D. D. Ganji, The application of He’s homotopy perturbation method to nonlinear equations arising in heat transfer, Phys Lett A: 355(2006), 337–341.##[9] J. H. He. Homotopy perturbation method, Comp Methods ApplMechEng, 178(1999), 257–262.##[10] M. S. H. Chowdhury and I. Hashim. Analytical solutions to heat transfer equations by homotopyperturbation method revisited, Physical Letters A, 372(2008), 12401243.##[11] A. Rajabi, .Homotopy perturbation method for fin efficiency of convective straight fins with temperature dependent thermal conductivity .Physics Letters A , 364(2007), 3337.##[12] I. Mustafa. Application of Homotopy analysis method for fin efficiency of convective straight fin with temperature dependent thermal conductivity. Mathematics and Computers Simulation, 79(2008), 189 – 200.##[13] S. B. Coskun. and M. T. Atay. Analysis of Convective Straight and Radial Fins with Temperature Dependent Thermal Conductivity Using Variational Iteration Method with Comparision with respect to finite Element Analysis. Mathematical problem in Engineering, 2007 ,Article ID 42072, 15 pages##[14] E. M. Languri., D. D. Ganji and N. Jamshidi. Variational Iteration and Homotopy perturbation methods for fin efficiency of convective straight fins with temperature dependent thermal conductivity. 5th WSEAS Int .Conf .On FLUID MECHANICS (fluids 08) Acapulco, Mexico January, 25 27, 2008##[15] S. B. Coskun and M. T. Atay. Fin efficiency analysis of convective straight fin with temperature dependent thermal conductivity using variational iteration method, ApplThermEng, 28(2008), 2345–2352.##[16] M. T. Atay and S. B. Coskun. Comparative Analysis of PowerLaw FinType Problems Using Variational Iteration Method and Finite Element Method, Mathematical Problems in Engineering, 2008, 9 pages.##[17] G. Domairry and M. Fazeli. Homotopy analysis method to determine the fin efficiency of convective straight fins with temperature dependent thermal conductivity. Communication in Nonlinear Science and Numerical Simulation 14(2009), 489499.## [18] M. S. H. Chowdhury, Hashim, I. and O. Abdulaziz. Comparison of homotopy analysis method and homotopypermutation method for purely nonlinear fintype problems, Communications in Nonlinear Science and Numerical Simulation ,14(2009), 371378.##[19]. F. Khani, M. A. Raji and H. H. Nejad. Analytical solutions and efficiency of the nonlinear fin problem with temperaturedependent thermal conductivity and heat transfer coefficient, Commun Nonlinear SciNumerSimulat, 2009: 14(2009) ,33273338.##[20] R. J. Moitheki, T. Hayat and M. Y. Malik. Some exact solutions of the fin problem with a power law temperature dependent thermal conductivity .Nonlinear Analysis real world Application, 2010: 11, 3287 – 3294.##[21] K. Hosseini, B. Daneshian, N. Amanifard and R. Ansari. .Homotopy Analysis Method for a Fin with Temperature Dependent Internal Heat Generation and Thermal Conductivity. International Journal of Nonlinear Science, 14(2012), 2, 201210.##[22] A. A. Joneidi , D. D. Ganji, Babaelahi, M. Differential Transformation Method to determine fin efficiency of convective straight fins with temperature dependent thermal conductivity. International communication in Heat and Mass transfer, 36(2009), 757762##[23] A. Moradi and H. Ahmadikia. Analytical Solution for different profiles of fin with temperature dependent thermal conductivity. Hindawi Publishing Corporation Mathematical Problem in Engineering volume 2010, Article ID 568263, 15.##[24] A. Moradi and H. Ahmadikia. Investigation of effect thermal conductivity on straight fin performance with DTM, International Journal of Engineering and Applied Sciences (IJEAS), 1(2011), 42 54##[25] S. Mosayebidorcheh, D. D. Ganji, M. Farzinpoor. Approximate Solution of the nonlinear heat transfer equation of a fin with the powerlaw temperaturedependent thermal conductivity and heat transfer coefficient, Propulsion and Power Reasearch, 2014: 4147.##[26] S. E. Ghasemi and M. Hatami and D. D. Ganji Thermal analysis of convective fin with temperaturedependent thermal conductivity and heat generation, Cases Studies in Thermal Engineering., 4(2014), 18.##[27] D. D. Ganji and A. S. Dogonchi. Analytical investigation of convective heat transfer of a longitudinal fin with temperaturedependent thermal conductivity, heat transfer coefficient and heat generation, 2014: vol. 9(21), 466474.##[28] M. G. Sobamowo. M. G. Thermal analysis of longitudinal fin with temperaturedependent properties and internal heat generation using Galerkin’s method of weighted residual. Applied Thermal Engineering 99(2016), 1316–1330.##[29] A. Fernandez. On some approximate methods for nonlinear models. Appl Math Comput., 215(2009):16874.##[30]. A. Aziz and A. A. Bouaziz A least squares method for a longitudinal fin with temperature dependent internal heat generation and thermal conductivity, Energy Conversion and Management, 52(2011): 28762882.##[31] A.H. Khater, R.S. Temsah, M.M. Hassan, A Chebyshev spectral collocation methodfor solving Burgers'type equations, Journal of Computational and Applied Mathematics222 (2008) 333–350.## [32] C. Canuto, M.Y. Hussaini, A. Quarteroni, T.A. Zang, Spectral Methods in Fluid Dynamics, Springer, New York, 1988.## [33] E.H. Doha, A.H. Bhrawy, Efficient spectralGalerkin algorithms for direct solution of fourthorder differential equations using Jacobi polynomials, Appl.Numer. Math. 58 (2008) 1224–1244.## [34] E.H. Doha, A.H. Bhrawy, Jacobi spectral Galerkin method for the integrated forms of fourthorder elliptic differential equations, Numer. Methods Partial Differential Equations 25 (2009) 712–739.##[35] E.H. Doha, A.H. Bhrawy, S.S. Ezzeldeen, Efficient Chebyshev spectral methods for solving multiterm fractional orders differential equations, Appl.Math. Model. (2011) doi:10.1016/j.apm.2011.05.011.##]
1

Analysis of Flow of Nanofluid through a Porous Channel with Expanding or Contracting Walls using Chebychev Spectral Collocation Method
https://jcamech.ut.ac.ir/article_63377.html
10.22059/jcamech.2017.240097.179
1
In this work, we applied Chebychev spectral collocation method to analyze the unsteady twodimensional flow of nanofluid in a porous channel through expanding or contracting walls with large injection or suction. The solutions are used to study the effects of various parameters on the flow of the nanofluid in the porous channel. From the analysis, It was established that increase in expansion ratio and Reynolds number decreases the axial velocity at the center of the channel during the expansion while the axial velocity increases near the surface of the channel during contraction. Moreover, it was also established that an increase in injection rate leads to a higher axial velocity near the center and the lower axial velocity near the wall. On the verification of the results, it is shown that the results obtained from Chebychev spectral collocation method are in good agreement when compared to the results obtained using other numerical methods.
0

225
232


George
Oguntala
School of Electrical Engineering and Computer Science, Faculty of Engineering and Informatics, University of Bradford,
West Yorkshire, UK.
Iran
g.a.oguntala@bradford.ac.uk


Raed
AbdAlhameed
School of Electrical Engineering and Computer Science, Faculty of Engineering and Informatics, University of Bradford,
West Yorkshire, UK.
Iran
r.a.a.abd@bradford.ac.uk


Zubair
Oba Mustapha
School of Electrical Engineering and Computer Science, Faculty of Engineering and Informatics, University of Bradford,
West Yorkshire, UK.
Iran
o.z.mustapha@bradford.ac.uk


Eya
Nnabuike
School of Electrical Engineering and Computer Science, Faculty of Engineering and Informatics, University of Bradford,
West Yorkshire, UK.
Iran
n.n.eya@bradford.ac.uk
Nanofluid, Porous Channel
Expanding or Contracting walls, Chebychev Spectral Collocation method
[[1] Berman A. S., 1953, Laminar ﬂow in channels with porous walls, Journal of Applied Physics, Vol. 24: 1232  1235.##[2] Terrill R. M., 1964, Laminar ﬂow in a uniformly porous channel, The Aeronautical Quarterly, Vol. 15, 299 – 310.##[3] Terrill R. M., 1965, Laminar flow in a uniformly porous channel with large injection, Aeronautical Quarterly, Vol. 16, 323  332.##[4] Dauenhauer E. C., Majdalani, J., 2003, Exact selfsimilarity solution of the NavierStokes equations for a porous channel with orthogonally moving walls, Physics of Fluids, Vol. 15, No. 6, 1485–1495.##[5] Majdalani, J., 2001, The oscillatory channel ﬂow with arbitrary wall injection, Zeitschrift fur Angewandte Mathematik und Physik, Vol. 52, No. 1, 33–61.##[6] Majdalani J., Roh, TS., 2000, The oscillatory channel ﬂow with large wall injection, Proceedings of the Royal Society of London. Series A, Vol. 456, No. 1999, 625–1657.##[7]Majdalani, J., van Moorhem, W. K., 1997, Multiplescales solution to the acoustic boundary layer in solid rocket motors, Journal of Propulsion and Power, Vol. 13, No. 2, 186–193.##[8] Oxarango, L., Schmitz, P., Quintard, M., 2004, Laminar ﬂow in channels with wall suction or injection: a new model to study multichannel ﬁltration systems, Chemical Engineering Science, Vol. 59, No.5, 1039–1051.##[9] Jankowski, T. A., Majdalani, J., 2006, Symmetric solutions for the oscillatory channel ﬂow with arbitrary suction,” Journal of Sound and Vibration, Vol. 294, No. 4, pp. 880–893.##[10] Jankowski, A., Majdalani, J., 2002, Laminar ﬂow in a porous channel with large wall suction and a weakly oscillatory pressure, Physics of Fluids, Vol. 14, No. 3, 1101–1110.##[11] Zhou, C., Majdalani, J., 2002, Improved meanﬂow solution for slab rocket motors with regressing walls, Journal of Propulsion and Power, Vol. 18, No. 3, 703–711.##[12] Majdalani, J., Zhou, C., 2003, Moderatetolarge injection and suction driven channel ﬂows with expanding or contracting walls, Zeitschrift fur Angewandte Mathematik und Mechanik, Vol. 83, No. 3,181–196.##[13]Robinson, W. A., 1976, The existence of multiple solutions for the laminar ﬂow in a uniformly porous channel with suction at both walls, J. Eng. Math. 23–40.##[14] Zaturska, M. B., Drazin, P. G., Banks, W. H., 1988, On the ﬂow of a viscous ﬂuid driven along a channel by suction at porous walls, Fluid Dynamics Research, Vol. 4, No. 3, 151–178.##[15] Si, X. H., Zheng, L. C., Zhang, X. X., Chao, Y., 2011, Existence of multiple solutions for the laminar ﬂow in a porous channel with suction at both slowly expanding or contracting walls. Int. J. Miner. Metal. Mater. 11, 494501.##[16] Si, X. H., Zheng, L. C., Zhang, X. X., Chao, Y., 2011, Multiple solutions for the laminar ﬂow in a porous pipe with suction at slowly expanding or contracting wall. Applied. Math. Comput. 218, 35153521.##[17] Majdalani, J., Zhou, C., Dawson, C. A., 2011, Twodimensional viscous ﬂow between slowly expanding or contracting walls with weak permeability, Journal of Biomechanics, Vol. 35, No. 10, 1399–1403.##[18] Dinarvand, S., Doosthoseini, A., Doosthoseini, E., Rashidi, M. M., 2008, Comparison of HAM and HPM methods for Berman’s model of twodimensional viscous ﬂow in porous channel with wall suction or injection, Advances in Theoretical and Applied Mechanics, Vol. 1, No. 7, 337–347.##[19] Xu, J., Lin, Z. L., Liao, S. J., Wu, J. Z., Majdalani, J., 2010, Homotopy based solutions of the NavierStokes equations for a porous channel with orthogonally moving walls, Physics of Fluids, Vol. 22, Issue 5, 10.1063/1.3392770.##[20] Dinarvand, S., Rashidi, M. M., 2010, A reliable treatment of a homotopy analysis method for two dimensional viscous ﬂow in a rectangular domain bounded by two moving porous walls, Nonlinear Analysis: Real World Applications, Vol. 11, No. 3, 1502–1512.##[21] Oguntala, G. A., Sobamowo, M. G., 2016, Galerkin’s Method of Weighted Residual for a Convective Straight Fin with Temperaturedependent Conductivity and Internal Heat Generation. International Journal of Engineering and Technology, Vol. 6, No. 12, 432–442.##[22] Sobamowo, M. G., 2016, Thermal Analysis of longitudinal fin with Temperaturedependent properties and Internal Heat generation using Galerkin’s Method of weighted residual. Applied Thermal Engineering 99, 1316–1330.##[23] Gottlieb, D., Orszag, S.A., 1977, Numerical analysis of spectral methods: Theory and applications, in: Regional Conference Series in Applied Mathematics, Vol. 28, SIAM, Philadelphia, pp. 1  168.##[24] Canuto, C., Hussaini, M.Y., Quarteroni, A., Zang, T.A., 1988, Spectral Methods in Fluid Dynamics, SpringerVerlag, New York.##[25] Peyret, R., 2002, Spectral Methods for Incompressible Viscous Flow, Springer Verlag, New York, 2002.##[26] F.B. Belgacem, M. Grundmann, Approximation of the wave and electromagnetic diffusion equations by spectral methods, SIAM Journal on Scientiﬁc Computing 20 (1), (1998), 13–32.##[27] Shan, X.W., Montgomery, D., Chen, H.D., 1991, Nonlinear magnetohydrodynamics by Galerkinmethod computation, Physical Review A 44 (10), 6800–6818.##[28] Shan, X.W., 1994, Magnetohydrodynamic stabilization through rotation, Physical Review Letters 73 (12), 1624–1627.##[29] Wang, J.P., 2001, Fundamental problems in spectral methods and ﬁnite spectral method, Sinica Acta Aerodynamica 19 (2), 161–171.##[30] Elbarbary, E.M.E., Elkady, M., 2003, Chebyshev Finite difference approximation for the boundary value problems, Applied Mathematics and Computation 139, 513–523.##[31] Huang, Z.J., Zhu, Z.J., 2009, Chebyshev spectral collocation method for solution of Burgers’ equation and laminar natural convection in twodimensional cavities, Bachelor Thesis, University of Science and Technology of China, Hefei, China.##[32] Eldabe, N.T., Ouaf, M.E.M., 2006, Chebyshev ﬁnite difference method for heat and mass transfer in a hydromagnetic ﬂow of a micropolar ﬂuid past a stretching surface with Ohmic heating and viscous dissipation, Applied Mathematics and Computation 177, 561–571.##[33] Khater, A.H., Temsah, R.S., Hassan, M.M., 2008, A Chebyshev spectral collocation method for solving Burgers'type equations, Journal of Computational and Applied Mathematics, Vol. 222, Issue 2, 333–350.##[34] Canuto, C., Hussaini, M.Y., Quarteroni, A., Zang, T.A., 1998, Spectral Methods in Fluid Dynamics, Springer, New York.##[35] Doha, E.H., Bhrawy, A.H., 2008, Efficient spectralGalerkin algorithms for direct solution of fourthorder differential equations using Jacobi polynomials, Applied Numerical Mathematics, Vol. 58, Issue 8, 1224–1244.##[36] Doha, E.H., Bhrawy, A.H., 2009, Jacobi spectral Galerkin method for the integrated forms of fourthorder elliptic differential equations, Numerical Methods for Partial Differential Equations, Wiley Online Library, Vol. 25, Issue, 712–739.##[37] Doha, E.H., Bhrawy, A.H., Hafez, R.M., 2011, A Jacobi–Jacobi dualPetrov–Galerkin method for third and fifthorder differential equations, Mathematical and Computer Modelling, Vol. 53, Issue 9 – 10, 1820–1832.##[38] Doha, E.H., Bhrawy, A.H., Ezzeldeen, S.S., 2011, Efficient Chebyshev spectral methods for solving multiterm fractional orders differential equations, Applied Mathematical Modelling, Vol. 35, Issue 12, 5662 – 5672.##]
1

Applications of higher order shear deformation theories on stress distribution in a five layer sandwich plate
https://jcamech.ut.ac.ir/article_63354.html
10.22059/jcamech.2017.239207.172
1
In this paper, layerwise theory (LT) along with the first, second and thirdorder shear deformation theories (FSDT, SSDT and TSDT) are used to determine the stress distribution in a simply supported square sandwich plate subjected to a uniformly distributed load. Two functionally graded (FG) face sheets encapsulate an elastomeric core while two epoxy adhesive layers adhere the core to the face sheets. The sandwich plate is assumed to be symmetric with respect to its core midplane. First, second and thirdorder shear deformation theories are used to model shear distribution in the adhesive layers as well as others. Results obtained from the three theories are compared with those of finite element solution. Results indicate that finite element analysis (FEA) and LT based on the first, second and thirdorder shear deformation theories give almost the same estimations on planar stresses. Moreover, the outofplane shear stresses obtained by FEA, are slightly different from those of LT based on FSDT. The differences are decreased on using LT based on SSDT or TSDT. Additionally, SSDT and TSDT predict almost the same distribution for the two planer stress and outofplane shear stress components along the face sheet thickness. Furthermore, thirdorder shear deformation theory seems to be more appropriate for prediction of outofplane shear stress at lower values of a/h ratio.
0

233
252


Hamed
Raissi
Department of Mechanical engineering, Shahid Chamran University of Ahvaz, Ahvaz, Iran
Iran
hraissi@phdstu.scu.ac.ir


Mohammad
Shishesaz
Department of Mechanical engineering, Shahid Chamran University of Ahvaz, Ahvaz, Iran
Iran
mshishehsaz@scu.ac.ir


Shapour
Moradi
Department of Mechanical engineering, Shahid Chamran University of Ahvaz, Ahvaz, Iran
Iran
moradis@scu.ac.ir
Stress distribution
Layerwise theory
Secondorder shear deformation
Thirdorder shear deformation
Sandwich plate
[[1] B. Liu., A. J. M. Ferreira, Y. F. Xing, A. M. A. Neves, Analysis of composite plates using a layerwise theory and a differential quadrature finite element method, Composite Structures Vol. 156, pp. 6, 2016.##[2] M. E. Fares, M. K. H. Elmarghany, M. G. Salem, A layerwise theory for Nthlayer functionally graded plates including thickness stretching effects, Composite Structures, Vol. 133, pp. 12, 2015.##[3] C. H. Thai, A. J. M. Ferreira, E. Carrera, H. N. Xuan, Isogeometric analysis of laminated composite and sandwich plates using a layerwise deformation theory, Composite Structures, Vol. 104, pp. 19, 2013.##[4] A. J. M. Ferreira, G. E. Fasshauer, R. C. Batra, J. D. Rodrigues, Static deformations and vibration analysis of composite and sandwich plates using a layerwise theory and RBFPS discretizations with optimal shape parameter, Composite Structures, Vol. 86, pp. 16, 2008.##[5] C. M. C. Roque, J. D. Rodrigues, A. J. M. Ferreira, Static Deformations and Vibration Analysis of Composite and Sandwich Plates Using a Layerwise Theory and a Local Radial Basis FunctionsFinite Differences Discretization, Mechanics of Advanced Materials and Structures Vol. 20, pp. 13, 2013.##[6] S. Farahmand, A. A. Atai, Parametric investigation of autofrettage process in thick spherical vessel made of functionally graded materials, Journal of Computational Applied Mechanics, Vol. 47, No. 1, pp. 9, 2016.##[7] A. Afshin, M. Z. Nejat, K. Dastani, Transient thermoelastic analysis of FGM rotating thick cylindrical pressure vessels under arbitrary boundary and initial conditions, Journal of Computational Applied Mechanics, Vol. 48, No. 1, pp. 12, 2017.##[8] M. Goodarzi, M. N. Bahrami, V. Tavaf, Refined plate theory for free vibration analysis of FG nanoplates using the nonlocal continuum plate model, Journal of Computational Applied Mechanics, Vol. 48, No. 1, pp. 14, 2017.##[9] M. Gharibi, M. Z. Nejad, A. Hadi, Elastic analysis of functionally graded rotating thich cylindrical pressure vessels with exponentially varying properties using power series method of frobenius, Journal of Computational Applied Mechanics, Vol. 48, No. 1, pp. 10, 2017.##[10] J. L. Mantari, A. S. Oktem, C. G. Soares, Static and dynamic analysis of laminated composite and sandwich plates and shells by using a new higherorder shear deformation theory, Composite Structures, Vol. 94, pp. 13, 2011.##[11] H. N. Xuan, C. H. Thai, T. N. Thoi, Isogeometric finite element analysis of composite sandwich plates using a higherorder shear deformation theory, Composites: Part B, Vol. 55, pp. 17, 2013.##[12] M. Goodarzi, M. Mohammadi, M. Khooran, F. Saadi, Thermomechanical vibration analysis of FG circular and annular nanoplate based on the viscopasternak foundation, journal of Solid Mechanics, Vol. 8, No. 4, pp. 18, 2016.##[13] M. R. Farajpour, A. Rastgoo, A. Farajpour, M. Mohammadi, Vibration of piezoelectric nanofilm based electromechanical sensors via higher order nonlocal strain gradient theory, IET Micro & Nano Letters, Vol. 11, No. 6, pp. 6, 2016.##[14] A. Farajpour, A. Rastgoo, M. Mohammadi, Surface effects on the mechanical characteristics of microtubule networks in living cells, Mechanics Research Communications, Vol. 57, pp. 9, 2014.##[15] A. Farajpour, M. Danesh, M. Mohammadi, Buckling analysis of variable thickness nanoplates using nonlocal continuum mechanics, Physica E, Vol. 44, pp. 9, 2011.##[16] A. Farajpour, M. R. H. Yazdi, A. Rastgoo, M. Loghmani, M. Mohammadi, Nonlocal Nonlinear plate model for large amplitude vibration of magnetoelectroelastic nanoplates, Composite Structures, Vol. 140, pp. 14, 2015.##[17] M. Mohammadi, A. Farajpour, A. Moradi, M. Ghayour, Shear buckling of orthotropic rectangular graphene sheet embedded in an elastic medium in thermal environment, Composite: Part B, Vol. 56, pp. 9, 2014.##[18] M. Mohammadi, A. Farajpour, M. Goodarzi, H. S. n. pour, Numerical study of the effect of shear in plane load on the vibration analysis of graphene sheet embedded in an elastic medium, Computational Materials Science, Vol. 82, pp. 11, 2014.##[19] M. Mohammadi, M. Ghayour, A. Farajpour, Free transverse vibration analysis of circular and annular graphene sheets with various boundary conditions using the nonlocal continuum plate model, Composite: Part B, Vol. 45, pp. 11, 2013.##[20] A. Farajpour, M. R. Haeri, A. Rastgoo, M. Mohammadi, A higher order nonlocal strain gradient plate model for buckling of orthotropic nanoplates in thermal environment, Acta Mech, Vol. 227, pp. 19, 2016.##[21] P. Ghabezi, M. Farahani, Composite adhesive bonded joint reinforcement by incorporation of nanoalumina particles, Journal of Computational Applied Mechanics, Vol. 47, No. 2, pp. 9, 2017.##[22] S. J. Lee, H. R. Kim, FE analysis of laminated composite plates using a higherorder shear deformation theory with assumed strains, Latin American Journal of Solids and Structures, Vol. 10, pp. 25, 2013.##[23] M. S. A. Houari, A. Tounsi, A. Beg, Thermoelastic bending analysis of functionally graded sandwich plates using a new higherorder shear and normal deformation theory, International Journal of Mechanical Sciences Vol. 76, pp. 10, 2013.##[24] M. Meunier, R. A. Shenoi, Dynamic analysis of composite sandwich plates with damping modelled using highorder shear deformation theory, Composite Structures, Vol. 24, pp. 12, 2001.##[25] M. Shishesaz, M. Kharazi, P. Hosseini, M. Hosseini, Buckling behavior of composite plates with a precentral circular delamination defect under in plane unaxial compression, Journal of Computational Applied Mechanics, Vol. 48, No. 1, pp. 12, 2017.##[26] C. H. Thai, A. J. M. Ferreira, M. A. Wahab, H. N. Xuan, A generalized layerwise higherorder shear deformation theory for laminated composite and sandwich plates based on isogeometric analysis, Acta Mech, Vol. 227, pp. 26, 2016.##[27] S. Sarangan, B. H. Singh, Higherorder closedform solution for the analysis of laminated composite and sandwich plates based on new shear deformation theories, Composite Structures, Vol. 138, pp. 13, 2016.##[28] S. Srinivas, A. K. Rao, Bending, Vibration and Buckling of simply supported thick orthotropic rectangular plates and laminates, International Journal of solid structures, Vol. 6, pp. 19, 1970.##[29] H. H. Abdelaziz, H. A. Atmane, I. Mechab, L. Boumia, A. Tounsi, A. B. E. Abbas, Static Analysis of Functionally Graded Sandwich Plates Using an Efficient and Simple Refined Theory, Chinese Journal of Aeronautics, Vol. 24, pp. 15, 2011.##[30] H. Cease, P. F. Derwent, H. T. Diehl, J. Fast, D. Finley, Measurement of mechanical properties of three epoxy adhesives at cryogenic temperatures for CCD construction, FermilabTM, 2006.##[31] L. D. Peel, Exploration of high and negative Poisson's ratio elastomermatrix laminates, Physica status solidi (b), Vol. 244, pp. 16, 2007.##[32] V. Gonca, Definition of poissin’s ratio of elastomers, Engineering for rural development, in 10th International scientific conference Engineering for Rural Development, Jelgava, Latvia, 2011. ##]
1

Incremental explosive analysis and its application to performancebased assessment of stiffened and unstiffened plates
https://jcamech.ut.ac.ir/article_63353.html
10.22059/jcamech.2017.236722.157
1
In this paper, the dynamic behavior of square plates with various thicknesses and stiffening configurations subjected to underwater explosion (UNDEX) are evaluated through a relatively novel approach which is called Incremental Explosive Analysis (IEA). The IEA estimates the different limitstates and deterministic assessment of plats’ behavior, considering uncertainty of loading conditions and dynamic nature of explosive loading. In this new approach, intensity parameter of explosive loading is enhanced in an incremental manner and response of the target plate is recorded for every depthstandoff loading condition. Then, the multi IEA curves are derived from several simulation results. The fractiles method is employed to summarize large amount of IEA curves’ data in a predictive mode. In addition, some summarized damage probability indicators such as fragility curves are extracted that provide useful information for quantitative damage analysis of plates in UNDEX loading. Results show that the IEA is a promising method for performancebased assessment of marine structures subjected to UNDEX loading.
0

253
270


Masoud
Biglarkhani
Civil Engineering Department, Hormozgan University, Bandar Abbas, Iran
Iran
m.biglarkhani.phd@hormozgan.ac.ir


Keyvan
Sadeghi
Mechanical Engineering Department, Buein Zahrah Technical University, Qazvin 3451745346, Iran
Iran
keyvan.sadeghi@bzte.ac.ir
Airbacked plate
Underwater explosion (UNDEX)
Depth parameter
Standoff distance
Incremental explosive analysis (IEA)
Intensity parameter
Fragility
uncertainty
[[1] R. H. Cole, R. Weller, 1948, Underwater explosions,##[2] K. Ramajeyathilagam, C. Vendhan, V. B. Rao, Nonlinear transient dynamic response of rectangular plates under shock loading, International Journal of Impact Engineering, Vol. 24, No. 10, pp. 9991015, 2000.##[3] H. Gharababaei, A. Darvizeh, M. Darvizeh, Analytical and experimental studies for deformation of circular plates subjected to blast loading, Journal of mechanical Science and Technology, Vol. 24, No. 9, pp. 18551864, 2010.##[4] A. Bayat, R. Moharami, Numerical Analysis of explosion effects on the redistribution of residual stresses in the underwater welded pipe, Journal of Computational Applied Mechanics, Vol. 47, No. 1, pp. 121128, 2016.##[5] R. Rajendran, J. Paik, J. Lee, Of underwater explosion experiments on plane plates, Experimental Techniques, Vol. 31, No. 1, pp. 1824, 2007.##[6] R. Rajendran, K. Narashimhan, Performance evaluation of HSLA steel subjected to underwater explosion, Journal of Materials Engineering and Performance, Vol. 10, No. 1, pp. 6674, 2001.##[7] C. Hung, P. Hsu, J. HwangFuu, Elastic shock response of an airbacked plate to underwater explosion, International Journal of Impact Engineering, Vol. 31, No. 2, pp. 151168, 2005.##[8] N. Gupta, P. Kumar, S. Hegde, On deformation and tearing of stiffened and unstiffened square plates subjected to underwater explosion—a numerical study, International Journal of Mechanical Sciences, Vol. 52, No. 5, pp. 733744, 2010.##[9] L. Li, W. Jiang, A new effective method to predict the permanent deformation of plane plates subjected to underwater shock loading, Proceedings of the Institution of Mechanical Engineers, Part C: Journal of Mechanical Engineering Science, Vol. 225, No. 5, pp. 10691075, 2011.##[10] R. Rajendran, Numerical simulation of response of plane plates subjected to uniform primary shock loading of noncontact underwater explosion, Materials & Design, Vol. 30, No. 4, pp. 10001007, 2009.##[11] R. Rajendran, Reloading effects on plane plates subjected to noncontact underwater explosion, Journal of materials processing technology, Vol. 206, No. 1, pp. 275281, 2008.##[12] P. Ren, W. Zhang, Underwater shock response of airbacked thin aluminum alloy plates: An experimental and numerical study, in Proceeding of, IOP Publishing, pp. 182034.##[13] R. Rajendran, K. Narasimhan, Deformation and fracture behaviour of plate specimens subjected to underwater explosion—a review, International Journal of Impact Engineering, Vol. 32, No. 12, pp. 19451963, 2006.##[14] G.S. Yeom, Numerical study of underwater explosion near a free surface and a structural object on unstructured grid, Journal of Mechanical Science and Technology, Vol. 29, No. 10, pp. 42134222, 2015.##[15] M. Grujicic, B. Pandurangan, C. Zhao, B. Cheeseman, A computational investigation of various waterinduced explosion mitigation mechanisms, Multidiscipline Modeling in Materials and Structures, Vol. 3, No. 2, pp. 185212, 2007.##[16] G. Wang, S. Zhang, M. Yu, H. Li, Y. Kong, Investigation of the shock wave propagation characteristics and cavitation effects of underwater explosion near boundaries, Applied Ocean Research, Vol. 46, pp. 4053, 2014.##[17] D. Vamvatsikos, C. A. Cornell, Incremental dynamic analysis, Earthquake Engineering & Structural Dynamics, Vol. 31, No. 3, pp. 491514, 2002.##[18] D. Vamvatsikos, C. A. Cornell, The incremental dynamic analysis and its application to performancebased earthquake engineering, in Proceeding of, Citeseer, pp.##[19] D. Vamvatsikos, C. A. Cornell, Applied incremental dynamic analysis, Earthquake Spectra, Vol. 20, No. 2, pp. 523553, 2004.##[20] A. Zacharenaki, M. Fragiadakis, D. Assimaki, M. Papadrakakis, Bias assessment in Incremental Dynamic Analysis due to record scaling, Soil Dynamics and Earthquake Engineering, Vol. 67, pp. 158168, 2014.##[21] M. Alembagheri, M. Ghaemian, Damage assessment of a concrete arch dam through nonlinear incremental dynamic analysis, Soil Dynamics and Earthquake Engineering, Vol. 44, pp. 127137, 2013.##[22] P. Tehrani, D. Mitchell, Seismic performance assessment of bridges in Montreal using incremental dynamic analysis, in Proceeding of.##[23] A. Ajamy, M. Zolfaghari, B. Asgarian, C. Ventura, Probabilistic seismic analysis of offshore platforms incorporating uncertainty in soil–pile–structure interactions, Journal of Constructional Steel Research, Vol. 101, pp. 265279, 2014.##[24] B. Asgarian, A. Ajamy, Seismic performance of jacket type offshore platforms through incremental dynamic analysis, Journal of Offshore Mechanics and Arctic Engineering, Vol. 132, No. 3, pp. 031301, 2010.##[25] M. Zolfaghari, A. Ajamy, B. Asgarian, A simplified method in comparison with comprehensive interaction incremental dynamic analysis to assess seismic performance of jackettype offshore platforms, International Journal of Advanced Structural Engineering (IJASE), Vol. 7, No. 4, pp. 353364, 2015.##[26] A. Golafshani, V. Bagheri, H. Ebrahimian, T. Holmas, Incremental wave analysis and its application to performancebased assessment of jacket platforms, Journal of Constructional Steel Research, Vol. 67, No. 10, pp. 16491657, 2011.##[27] M. Zeinoddini, H. M. Nikoo, H. Estekanchi, Endurance Wave Analysis (EWA) and its application for assessment of offshore structures under extreme waves, Applied Ocean Research, Vol. 37, pp. 98110, 2012.##[28] K. Wei, S. R. Arwade, A. T. Myers, Incremental windwave analysis of the structural capacity of offshore wind turbine support structures under extreme loading, Engineering Structures, Vol. 79, pp. 5869, 2014.##[29] R. A. Izadifard, M. R. Maheri, Application of displacementbased design method to assess the level of structural damage due to blast loads, Journal of mechanical science and technology, Vol. 24, No. 3, pp. 649655, 2010.##[30] B. Le Méhauté, S. Wang, 1996, Water waves generated by underwater explosion, World Scientific,##[31] U. Army, U. Navy, U. A. Force, Structures to resist the effects of accidental explosions, TM51300, pp. 1400, 1990.##[32] G. Farin, 2014, Curves and surfaces for computeraided geometric design: a practical guide, Elsevier,##[33] E. T. Lee, Choosing nodes in parametric curve interpolation, ComputerAided Design, Vol. 21, No. 6, pp. 363370, 1989.##[34] H. Huang, Transient interaction of plane acoustic waves with a spherical elastic shell, The Journal of the Acoustical Society of America, Vol. 45, No. 3, pp. 661670, 1969.##[35] H. Huang, An exact analysis of the transient interaction of acoustic plane waves with a cylindrical elastic shell, Journal of Applied Mechanics, Vol. 37, No. 4, pp. 10911099, 1970.##[36] T. AUTODYN, Theory Manual Revision 4.3, Concord, CA: Century Dynamics, Inc, 2003.##[37] F. Hajializadeh, M. M. Mashhadi, Investigation and numerical analysis of impulsive hydroforming of aluminum 6061T6 tube, Journal of Manufacturing Processes, Vol. 20, pp. 257273, 2015.##[38] W. Feller, 2008, An introduction to probability theory and its applications, John Wiley & Sons, ##]
1

Analysis of Heat transfer in Porous Fin with Temperaturedependent Thermal Conductivity and Internal Heat Generation using Chebychev Spectral Collocation Method
https://jcamech.ut.ac.ir/article_63384.html
10.22059/jcamech.2017.239131.171
1
In this work, analysis of heat transfer in porous fin with temperaturedependent thermal conductivity and internal heat generation is carried out using Chebychev spectral collocation method. The numerical solutions are used to investigate the influence of various parameters on the thermal performance of the porous fin. The results show that increase in convective parameter, porosity parameter, Nusselt, Darcy and Rayleigh numbers and thicknesslength ratio of the fin, the rate of heat transfer from the base of the fin increases and consequently improve the efficiency of the fin. However, the rate of heat transfer from the base of the fin increases with decrease in thermal conductivity material. Also, from the parametric studies, an optimum value is reached beyond which further increase in porosity, Nusselt, Darcy and Rayleigh numbers, thermal conductivity ratio and thicknesslength ratio has no significant influence on the rate of heat transfer. It is established that the temperature predictions in the fin using the Chebychev spectral collocation method are in excellent agreement with the results of homotopy perturbation method and that of numerical methods using RungeKutta coupled with shooting method.
0

271
284


Gbeminiyi
Sobamowo
Department of Mechanical Engineering, University of Lagos, Akoka, Lagos, Nigeria
Iran
mikegbeminiyiprof@yahoo.com
Porous Fin
Thermal performance
TemperatureDependent Thermal Conductivity and Internal Heat Generation, Chebyshev spectral collocation method
[[1] S. Kiwan, A. AlNimr. Using Porous Fins for Heat Transfer Enhancement. ASME J. Heat Transfer 2001; 123:790–5.##[2] S. Kiwan, Effect of radiative losses on the heat transfer from porous fins. Int. J. Therm. Sci. 46(2007a)., 10461055##[3] S. Kiwan. Thermal analysis of natural convection porous fins. Tran. Porous Media 67(2007b), 1729.##[4] S. Kiwan, O. Zeitoun, Natural convection in a horizontal cylindrical annulus using porous fins. Int. J. Numer. Heat Fluid Flow 18 (5)(2008), 618634.##[5] R. S. Gorla, A. Y. Bakier. Thermal analysis of natural convection and radiation in porous fins. Int. Commun. Heat Mass Transfer 38(2011), 638645.##[6] B. Kundu, D. Bhanji. An analytical prediction for performance and optimum design analysis of porous fins. Int. J. Refrigeration 34(2011), 337352.##[7] B. Kundu, D. Bhanja, K. S. Lee. A model on the basis of analytics for computing maximum heat transfer in porous fins. Int. J. Heat Mass Transfer 55 (2526)(2012) 76117622.##[8] Taklifi, C. Aghanajafi, H. Akrami. The effect of MHD on a porous fin attached to a vertical isothermal surface. Transp Porous Med. 85(2010) 215–31.##[9] D. Bhanja, B. Kundu. Thermal analysis of a constructal Tshaped porous fin with radiation effects. Int J Refrigerat 34(2011) 1483–96.##[10] B. Kundu, Performance and optimization analysis of SRC profile fins subject to simultaneous heat and mass transfer. Int. J. Heat Mass Transfer 50(2007) 15451558.##[11] S. Saedodin, S. Sadeghi, S. Temperature distribution in long porous fins in natural convection condition. Middleeast J. Sci. Res. 13 (6)(2013) 812817.##[12] S. Saedodin, M. Olank, 2011. Temperature Distribution in Porous Fins in Natural Convection Condition, Journal of American Science 7(6)(2011) 476481.##[13] M. T. Darvishi, R. Gorla, R.S., Khani, F., Aziz, A.E. Thermal performance of a porus radial fin with natural convection and radiative heat losses. Thermal Science, 19(2) (2015) 669678.##[14] M. Hatami , D. D. Ganji. Thermal performance of circular convectiveradiative porous fins with different section shapes and materials. Energy Conversion and Management, 76(2013)185−193.##[15] M. Hatami , D. D. Ganji. Thermal behavior of longitudinal convective–radiative porous fins with different section shapes and ceramic materials (SiC and Si3N4). International of J. Ceramics International, 40(2014), 6765−6775.##[16] M. Hatami, A. Hasanpour, D. D. Ganji, Heat transfer study through porous fins (Si3N4 and AL) with temperaturedependent heat generation. Energ. Convers. Manage. 74(2013) 916.##[17] M. Hatami , D. D. Ganji. Investigation of refrigeration efficiency for fully wet circular porous fins with variable sections by combined heat and mass transfer analysis. International Journal of Refrigeration, 40(2014) 140−151.##[18] M. Hatami, G. H. R. M. Ahangar, D. D. Ganji,, K. Boubaker. Refrigeration efficiency analysis for fully wet semispherical porous fins. Energy Conversion and Management, 84(2014) 533−540.##[19] R. Gorla, R.S., Darvishi, M. T. Khani, F. Effects of variable Thermal conductivity on natural convection and radiation in porous fins. Int. Commun. Heat Mass Transfer 38(2013), 638645.##[20] Moradi, A., Hayat, T. and Alsaedi, A. Convectiveradiative thermal analysis of triangular fins with temperaturedependent thermal conductivity by DTM. Energy Conversion and Management 77 (2014) 70–77##[21] S. Saedodin. M. Shahbabaei. Thermal Analysis of Natural Convection in Porous Fins with Homotopy Perturbation Method (HPM). Arab J Sci Eng (2013) 38:2227–2231.##[22] H. Ha, Ganji D. D and Abbasi M. Determination of Temperature Distribution for Porous Fin with TemperatureDependent Heat Generation by Homotopy Analysis Method. J Appl Mech Eng., 4(1) (2005).##[23] H. A. Hoshyar, I. Rahimipetroudi, D. D. Ganji, A. R. Majidian. Thermal performance of porous fins with temperaturedependent heat generation via Homotopy perturbation method and collocation method. Journal of Applied Mathematics and Computational Mechanics. 14(4) (2015), 5365.##[24] Y. Rostamiyan,, D. D. Ganji , I. R. Petroudi, and M. K. Nejad. Analytical Investigation of Nonlinear Model Arising in Heat Transfer Through the Porous Fin.Thermal Science. 18(2)(2014), 409417.##[25] S. E. Ghasemi, P. Valipour, M. Hatami, D. D. Ganji.. Heat transfer study on solid and porous convective fins with temperaturedependent heat generation using efficient analytical method J. Cent. South Univ. 21(2014), 4592−4598.##[26] D.D. Ganji, A.S. Dogonchi, Analytical investigation of convective heat transfer of a longitudinal ﬁn with temperaturedependent thermal conductivity, heat transfer coeﬃcient and heat generation, Int. J. Phys. Sci. 9 (21) (2014), 466–474.##[27] S. Dogonchi and D. D. Ganji Convectionradiation heat transfer study of moving fin with temperaturedependent thermal conductivity, heat transfer coefficient and heat generation. Applied thermal engineering 103 (2016) 705712.##[28] Aziz and M. N. Bouaziz. A least squares method for a longitudinal fin with temperature dependent internal heat generation and thermal conductivity. Energ Conver and Manage, 52(2011): 2876−2882.##[29] Fernandez. On some approximate methods for nonlinear models. Appl Math Comput., 215(2009). :16874.##[30] D. Gottlieb, S.A. Orszag, Numerical analysis of spectral methods: Theory and applications, in: Regional Conference Series in Applied Mathematics, vol. 28, SIAM, Philadelphia, 1977, pp. 1–168.##[31] Canuto, M.Y. Hussaini, A. Quarteroni, T.A. Zang, Spectral Methods in Fluid Dynamics, SpringerVerlag, New York, 1988.##[32] R. Peyret, Spectral Methods for Incompressible Viscous Flow, SpringerVerlag, New York, 2002.##[33] F.B. Belgacem, M. Grundmann, Approximation of the wave and electromagnetic diffusion equations by spectral methods, SIAM Journal on Scientiﬁc Computing 20 (1), (1998), 13–32. ##[34] X.W. Shan, D. Montgomery, H.D. Chen, Nonlinear magnetohydrodynamics by Galerkinmethod computation, Physical Review A 44 (10) (1991) 6800–6818.##[35] X.W. Shan, Magnetohydrodynamic stabilization through rotation, Physical Review Letters 73 (12) (1994) 1624–1627.##[36] J.P. Wang, Fundamental problems in spectral methods and ﬁnite spectral method, Sinica Acta Aerodynamica 19 (2) (2001) 161–171.##[37] E.M.E. Elbarbary, M. Elkady, Chebyshev ﬁnite difference approximation for the boundary value problems, Applied Mathematics and Computation 139 (2003) 513–523.##[38] Z.J. Huang, and Z.J. Zhu, Chebyshev spectral collocation method for solution of Burgers’ equation and laminar natural convection in twodimensional cavities,Bachelor Thesis, University of Science and Technology of China, Hefei, 2009.##[39] N.T. Eldabe, M.E.M. Ouaf, Chebyshev ﬁnite difference method for heat and mass transfer in a hydromagnetic ﬂow of a micropolar ﬂuid past a stretching surface with Ohmic heating and viscous dissipation, Applied Mathematics and Computation 177 (2006) 561–571.##[40] A.H. Khater, R.S. Temsah, M.M. Hassan, A Chebyshev spectral collocation method for solving Burgers'type equations, Journal of Computational and Applied Mathematics 222 (2008) 333–350.##[41] Canuto, M.Y. Hussaini, A. Quarteroni, T.A. Zang, Spectral Methods in Fluid Dynamics, Springer, New York, 1988.##[42] E.H. Doha, A.H. Bhrawy, Efficient spectralGalerkin algorithms for direct solution of fourthorder differential equations using Jacobi polynomials, Appl. Numer. Math. 58 (2008) 1224–1244.## [43] E.H. Doha, A.H. Bhrawy, Jacobi spectral Galerkin method for the integrated forms of fourthorder elliptic differential equations, Numer. Methods Partial Differential Equations 25 (2009) 712–739.##[44] E.H. Doha, A.H. Bhrawy, R.M. Hafez, A Jacobi–Jacobi dualPetrov–Galerkin method for third and fifthorder differential equations, Math. Computer Modelling 53 (2011) 1820–1832.##[45] E.H. Doha, A.H. Bhrawy, S.S. Ezzeldeen, Efficient Chebyshev spectral methods for solving multiterm fractional orders differential equations, Appl. Math. Model. (2011) doi:10.1016/j.apm.2011.05.011.##]
1

A novel computational procedure based on league championship algorithm for solving an inverse heat conduction problem
https://jcamech.ut.ac.ir/article_63340.html
10.22059/jcamech.2017.238583.168
1
Inverse heat conduction problems, which are one of the most important groups of problems, are often illposed and complicated problems, and their optimization process has lots of local extrema. This paper provides a novel computational procedure based on finite differences method and league championship algorithm to solve a onedimensional inverse heat conduction problem. At the beginning, we use the CrankNicolson semiimplicit finite difference scheme to discretize the problem domain and solve the direct problem which is a secondorder method in time and unconditionally stable. The consistency, stability and convergence of the method are investigated. Then we employ a new optimization method known as league championship algorithm to estimate the unknown boundary condition from some measured temperature on the line. League championship algorithm is a recently proposed probabilistic algorithm for optimization in continuous environments, which tries to simulate a championship environment wherein several teams with different abilities play in an artificial league for several weeks or iterations. To confirm the efficiency and accuracy of the proposed approach, we give some examples for the engineering applications. Results show an excellent agreement between the solution of the proposed numerical algorithm and the exact solution.
0

285
296


Morteza
Ebrahimi
Department of Network Sciences and Technology, Faculty of New Science and Technologies, University of Tehran, Tehran, Iran
Iran
mo.ebrahimi@ut.ac.ir


Shidvash
Vakilipour
Department of Aerospace Engineering, Faculty of New Science and Technologies, University of Tehran, Tehran, Iran
Iran
vakilipour@ut.ac.ir


Mohammad Ebrahim
Inanlou Shahverdi
Department of Aerospace Engineering, Faculty of New Science and Technologies, University of Tehran, Tehran, Iran
Iran
me_inanlou@ut.ac.ir
Inverse problem
League Championship Algorithm
Finite differences scheme
Numerical solution
[[1] M. Ebrahimi, R. Farnoosh, and S. Ebrahimi, "Biological applications and numerical solution based on Monte Carlo method for a twodimensional parabolic inverse problem," Applied Mathematics and Computation, vol. 204, no. 1, pp. 19, 2008/10/01/ 2008.##[2] R. Farnoosh and M. Ebrahimi, "Monte Carlo simulation via a numerical algorithm for solving a nonlinear inverse problem," Communications in Nonlinear Science and Numerical Simulation, vol. 15, no. 9, pp. 24362444, 2010/09/01/ 2010.##[3] X. Luo and Z. Yang, "A new approach for estimation of total heat exchange factor in reheating furnace by solving an inverse heat conduction problem," International Journal of Heat and Mass Transfer, vol. 112, pp. 10621071, 2017/09/01/ 2017.##[4] A. Shidfar, M. Fakhraie, R. Pourgholi, and M. Ebrahimi, "A numerical solution technique for a onedimensional inverse nonlinear parabolic problem," Applied Mathematics and Computation, vol. 184, no. 2, pp. 308315, 2007/01/15/ 2007.##[5] A. Shidfar, R. Pourgholi, and M. Ebrahimi, "A Numerical Method for Solving of a Nonlinear Inverse Diffusion Problem," Computers & Mathematics with Applications, vol. 52, no. 6, pp. 10211030, 2006/09/01/ 2006.##[6] R. Li, Z. Huang, G. Li, X. Wu, and P. Yan, "Study of the conductive heat flux from concrete to liquid nitrogen by solving an inverse heat conduction problem," Journal of Loss Prevention in the Process Industries, vol. 48, pp. 4854, 2017/07/01/ 2017.##[7] R. Li, Z. Huang, G. Li, X. Wu, and P. Yan, "A modified space marching method using future temperature measurements for transient nonlinear inverse heat conduction problem," International Journal of Heat and Mass Transfer, vol. 106, pp. 11571163, 2017/03/01/ 2017.##[8] J. Crank and P. Nicolson, "A practical method for numerical evaluation of solutions of partial differential equations of the heatconduction type," Mathematical Proceedings of the Cambridge Philosophical Society, vol. 43, no. 1, pp. 5067, 2008.##[9] J. W. Thomas, Numerical Partial Differential Equations: Finite Difference Methods. Springer New York, 2013.##[10] A. Husseinzadeh Kashan, "League Championship Algorithm (LCA): An algorithm for global optimization inspired by sport championships," Applied Soft Computing, vol. 16, pp. 171200, 2014/03/01/ 2014.##[11] J. V. Beck and K. A. Woodbury, "Inverse heat conduction problem: Sensitivity coefficient insights, filter coefficients, and intrinsic verification," International Journal of Heat and Mass Transfer, vol. 97, pp. 578588, 2016.##[12] P. Duda, "Numerical and experimental verification of two methods for solving an inverse heat conduction problem," International Journal of Heat and Mass Transfer, vol. 84, pp. 11011112, 2015.##[13] J.C. Jolly and L. Autrique, "Semianalytic Conjugate Gradient Method applied to a simple Inverse Heat Conduction Problem," IFACPapersOnLine, vol. 49, no. 8, pp. 156161, 2016.##[14] T. Lu, W. Han, P. Jiang, Y. Zhu, J. Wu, and C. Liu, "A twodimensional inverse heat conduction problem for simultaneous estimation of heat convection coefficient, fluid temperature and wall temperature on the inner wall of a pipeline," Progress in Nuclear Energy, vol. 81, pp. 161168, 2015.##[15] E. Shivanian and H. R. Khodabandehlo, "Application of meshless local radial point interpolation (MLRPI) on a onedimensional inverse heat conduction problem," Ain Shams Engineering Journal, vol. 7, no. 3, pp. 9931000, 2016.##[16] M. Cui, W.w. Duan, and X.w. Gao, "A new inverse analysis method based on a relaxation factor optimization technique for solving transient nonlinear inverse heat conduction problems," International Journal of Heat and Mass Transfer, vol. 90, pp. 491498, 2015/11/01/ 2015.##[17] A. P. Fernandes, M. B. dos Santos, and G. Guimarães, "An analytical transfer function method to solve inverse heat conduction problems," Applied Mathematical Modelling, vol. 39, no. 22, pp. 68976914, 2015/11/15/ 2015.##[18] H.L. Lee, T.H. Lai, W.L. Chen, and Y.C. Yang, "An inverse hyperbolic heat conduction problem in estimating surface heat flux of a living skin tissue," Applied Mathematical Modelling, vol. 37, no. 5, pp. 26302643, 2013/03/01/ 2013.##[19] B. Movahedian and B. Boroomand, "The solution of direct and inverse transient heat conduction problems with layered materials using exponential basis functions," International Journal of Thermal Sciences, vol. 77, pp. 186198, 2014/03/01/ 2014.##[20] R. Pourgholi, H. Dana, and S. H. Tabasi, "Solving an inverse heat conduction problem using genetic algorithm: Sequential and multicore parallelization approach," Applied Mathematical Modelling, vol. 38, no. 7, pp. 19481958, 2014/04/01/ 2014.##[21] K. A. Woodbury and J. V. Beck, "Estimation metrics and optimal regularization in a Tikhonov digital filter for the inverse heat conduction problem," International Journal of Heat and Mass Transfer, vol. 62, pp. 3139, 2013/07/01/ 2013.##[22] T.S. Wu, H.L. Lee, W.J. Chang, and Y.C. Yang, "An inverse hyperbolic heat conduction problem in estimating pulse heat flux with a dualphaselag model," International Communications in Heat and Mass Transfer, vol. 60, pp. 18, 2015/01/01/ 2015.##[23] A. Friedman, Partial differential equations of parabolic type. PrenticeHall, 1964.##[24] P. D. Lax and R. D. Richtmyer, "Survey of the stability of linear finite difference equations," Communications on Pure and Applied Mathematics, vol. 9, no. 2, pp. 267293, 1956.##[25] J. Dréo, Metaheuristics for Hard Optimization: Methods and Case Studies. Springer, 2006.##[26] J. M. Gutiérrez Cabeza, J. A. Martín García, and A. Corz Rodríguez, "A sequential algorithm of inverse heat conduction problems using singular value decomposition," International Journal of Thermal Sciences, vol. 44, no. 3, pp. 235244, 2005/03/01/ 2005.##]
1

Power Series Aftertreatment Technique for Nonlinear Cubic Duffing and DoubleWell Duffing Oscillators
https://jcamech.ut.ac.ir/article_63385.html
10.22059/jcamech.2017.239886.176
1
Modeling of large amplitude of structures such as slender, flexible cantilever beam and fluidstructure resting on nonlinear elastic foundations or subjected to stretching effects often lead to strongly nonlinear models of Duffing equations which are not amendable to exact analytical methods. In this work, explicit analytical solutions to the large amplitude nonlinear oscillation systems of cubic Duffing and doublewell Duffing oscillators are provided using power seriesaftertreatment technique. The developed analytical solutions are valid for both small and large amplitudes of oscillation. The accuracy and explicitness of the analytical solutions are carried out to establish the validity of the method. Good agreements are established between the solution of the new method and established exact analytical solution. The developed analytical solutions in this work can serve as a starting point for a better understanding of the relationship between the physical quantities of the problems as it provides continuous physical insights into the problems than pure numerical or computation methods.
0

297
306


Gbeminiyi
Sobamowo
Department of Mechanical Engineering, University of Lagos, Akoka, Lagos, Nigeria.
Iran
mikegbeminiyiprof@yahoo.com


Ahmed
Yinusa
Department of Mechanical Engineering, University of Lagos, Akoka, Lagos, Nigeria.
Iran
gsobamowo@unilag.edu.ng
Nonlinear
Duffing Oscillators
Explicit analytical solutions
Powerseries
Aftertreatment technique
[[1] J. H. He. Modified Lindstedt–Poincare methods for some strongly nonlinear oscillations. Part I: Expansion of a constant. Int. J. NonLinear Mech. 37, 309–314 (2002)##[2] J. H. He. Modified Lindstedt–Poincare methods for some strongly nonlinear oscillations. Part III: Double series expansion. Int. J. NonLinear Sci. Numer. Simul. 2, 317–320 (2001)##[3] S. Q. Wang, J. H. He, J Nonlinear oscillator with discontinuity by parameterexpansion method. Chaos Solitons Fractals 35, 688–691 (2008)##[4] J. H. He. Some asymptotic methods for strongly nonlinear equations. Int. J.Mod. Phys. B 20 (2006), 1141–1199.##[5] J. H. He, Some new approaches to Duffing equation with strongly and high order nonlinearity (II) parameterized perturbation technique. Commun. NonLinear Sci. Numer. Simul. 4, 81–82 (1999)##[6] M.G. Sobamowo, Thermal analysis of longitudinal fin with temperaturedependent properties and internal heat generation using Galerkin’s method of weighted residual. Applied Thermal Engineering 99 (2016) 1316–1330. ##[7] M. Rafei., D. D. Ganji, H. Daniali, H. Pashaei. The variational iteration method for nonlinear oscillators with discontinuities. J. Sound Vib. 305, 614–620 (2007)##[8] V. Marinca, N. Herisanu. A modified iteration perturbation method for some nonlinear oscillation problems. Acta Mech. 184, 231–242 (2006)##[9] S. S. Ganji, D. D. Ganji, H. Ganji, Babazadeh, Karimpour, S.: Variational approach method for nonlinear oscillations of the motion of a rigid rod rocking back and cubicquintic duffing oscillators. Prog. Electromagn. Res. M 4, 23–32 (2008)##[10] S. B. Tiwari., B. N. Rao, N. S. Swamy, K. S. Sai, H. R. Nataraja. Analytical study on a Duffing harmonic oscillator. J. Sound Vib. 285, 1217–1222 (2005)##[11] R. E. Mickens. Periodic solutions of the relativistic harmonic oscillator. J. Sound Vib. 212, 905–908 (1998)##[12] Y. Z. Chen and X. Y. Lin. A convenient technique for evaluating angular frequency in some nonlinear oscillations. J. Sound Vib. 305, 552–562 (2007)##[13] Ö. Civalek, Nonlinear dynamic response of MDOF systems by the method of harmonic differential quadrature (HDQ). Int. J. Struct. Eng. Mech. 25(2), 201–217 (2007)##[14] T. C. Fung. Solving initial value problems by differential quadrature method. Part 1: Firstorder equations. Int. J. Numer. Methods Eng. 50, 1411–1427 (2001)##[15] R. E. Mickens. Mathematical and numerical study of the Duffingharmonic oscillator. Journal of Sound Vibration 244(3), 563–567 (2001)##[16] C. W. Lim and B. S. Wu. A new analytical approach to the Duffingharmonic oscillator. Phys. Lett. A 311(5), 365–377 (2003)##[17] H. Hu and Tang, J. H. Solution of a Duffingharmonic oscillator by the method of harmonic balance. Journal of Sound Vibration 294(3), 637–639 (2006)##[18] C. W. Lim, B. S. Wu, and W. P. Sun. Higher accuracy analytical approximations to the Duffingharmonic oscillator. Journal of Sound Vibration 296(4), 1039–1045 (2006)##[19] H. Hu. Solutions of the Duffingharmonic oscillator by an iteration procedure. Journal of Sound Vibration 298(1), 446–452 (2006)##[20] S. J. Liao. The Proposed Homotopy Analysis Technique for the Solution of Nonlinear Problems,Ph. D. dissertation, Shanghai Jiao Tong University (1992)##[21] S. J. Liao and Y. A. Tan, Y. A general approach to obtain series solutions of nonlinear differential equations, Studies Appl. Math. 119(4), 297–354 (2007)##[22] S. J. Liao. An approximate solution technique not depending on small parameters: a special example. Int. J. NonLinear Mech. 30(3), 371–380 (1995)##[23] J. K. Zhou: Differential Transformation and its Applications for Electrical Circuits. Huazhong University Press: Wuhan, China (1986)##[24] C. K. Chen and S.H. Ho. Application of Differential Transformation to Eigenvalue Problems. Journal of Applied Mathematics and Computation, 79 (1996), 173188.##[25] Ü, Cansu, and O. Özkan, Differential Transform Solution of Some Linear Wave Equations with Mixed Nonlinear Boundary Conditions and its Blow up. Applied Mathematical Sciences Journal, 4(10) (2010), 467475.##[26] MJ Jang, CL Chen, YC Liy: On solving the initialvalue problems using the differential transformation method. Appl. Math. Comput. 115 (2000): 145160.##[27] M. K¨oksal, S. Herdem: Analysis of nonlinear circuits by using differential Taylor transform. Computers and Electrical Engineering. 28 (2002): 513525.##[28] I.H.AH Hassan: Different applications for the differential transformation in the differential equations. Appl. Math. Comput. 129(2002), 183201.##[29] A.S.V. Ravi Kanth, K. Aruna: Solution of singular twopoint boundary value problems using differential transformation method. Phys. Lett. A. 372 (2008), 46714673.##[30] F. Ayaz: Solutions of the system of differential equations by differential transform method. Appl. Math. Comput. 147: 547567 (2004)##[31] SH Chang, IL Chang: A new algorithm for calculating onedimensional differential transform of nonlinear functions. Appl. Math. Comput. 195 (2008), 799808##[32] S. Momani, V.S. Ert¨urk: Solutions of nonlinear oscillators by the modified differential transform method. Computers and Mathematics with Applications. 55(4) (2008), 833842.##[33] S. Momani, S., 2004. Analytical approximate solutions of nonlinear oscillators by the modified decomposition method. Int. J. Modern. Phys. C, 15(7): 967979.##[34] M. ElShahed: Application of differential transform method to nonlinear oscillatory systems. Communic. Nonlin. Scien. Numer. Simul. 13 (2008), 17141720.##[35] S. K. Lai, C. W. Lim, B. S. Wu. Newtonharminic balancing approach for accurate solutions to nonlinear cubicquintic Duffing oscillators. Applied Math. Modeling, vol. 33, pp. 852866, 2009.##[36] M. Goodarzi, M. Mohammadi, M. Khooran, F. Saadi ThermoMechanical Vibration Analysis of FG Circular and Annular Nanoplate Based on the ViscoPasternak Foundation. Journal of Solid Mechanics Vol. 8, No. 4 (2016) pp. 788805##[37] Mohammadi M., Farajpour A., Goodarzi M., Heydarshenas R., 2013, Levy type solution for nonlocal thermo mechanical vibration of orthotropic monolayer graphene sheet embedded in an elastic medium, Journal of Solid Mechanics 5(2): 116132. ##[38] Mohammadi M., Farajpour A., Goodarzi M., Dinari F., 2014, Thermomechanical vibration analysis of annular and circular graphene sheet embedded in an elastic medium, Latin American Journal of Solids and Structures 11 (4): 659682.##[39] Duan W. H., Wang C. M., 2007, Exact solutions for axisymmetric bending of micro/nanoscale circular plates based on nonlocal plate theory, Nanotechnology 18: 385704.##[40] Mohammadi M., Moradi A., Ghayour M., Farajpour A., 2014, Exact solution for thermomechanical vibration of orthotropic monolayer graphene sheet embedded in an elastic medium, Latin American Journal of Solids and Structures 11(3): 437458. ##[41] Asemi S.R., Farajpour A., Asemi H.R., Mohammadi M., 2014, Influence of initial stress on the vibration of doublepiezoelectricnanoplate systems with various boundary conditions using DQM, Physica E 63: 169179.##[42] Goodarzi M., Mohammadi M., Farajpour A., Khooran M., 2014, Investigation of the effect of prestressed on vibration frequency of rectangular nanoplate based on a visco pasternak foundation, Journal of Solid Mechanics 6: 98121.##[43] Mohammadi M., Farajpour A., Goodarzi M., Mohammadi H., 2013, Temperature effect on vibration analysis of annular graphene sheet embedded on viscoPasternak foundation, Journal of Solid Mechanics 5(3): 305323.##[44] A. Fernandez. On some approximate methods for nonlinear models. Appl Math Comput., 2009; 215:16874.##[45] P. Salehi, H. Yaghoobi, and M. Torabi. Application of the differential transformation method and variational iteration method to large deformation of cantilever beams under point load. Journal of Mechanical Science and Technology 26 (9) (2012) 28792887.##[46] S.N. Venkatarangan, K. Rajakshmi: A modification of Adomian’s solution for nonlinear oscillatory systems. Comput. Math. Appl. 29 (1995): 6773.##[47] Y.C. Jiao, Y. Yamamoto, C. Dang, Y. Hao: An aftertreatment technique for improving the accuracy of Adomian’s decomposition method. Comput. Math. Appl. 43 (2002), 783798.##[48] A. Elhalim and E. Emad. A new aftertratment technique for differential transformation method and its application to nonlinear oscillatory system. Internation Journal of Nonlinear Science, 8(4) (2009), 488497.##]
1

Multiobjective Optimization of web profile of railway wheel using Bidirectional Evolutionary Structural Optimization
https://jcamech.ut.ac.ir/article_63341.html
10.22059/jcamech.2017.237353.160
1
In this paper, multiobjective optimization of railway wheel web profile using bidirectional evolutionary structural optimization (BESO) algorithm is investigated. Using a finite element software, static analysis of the wheel based on a standard load case, and its modal analysis for finding the fundamental natural frequency is performed. The von Mises stress and critical frequency as the problem objectives are combined using different weight factors in order to find the sensitivity number in the method, which specifies which elements to be omitted and which to be added. The iterative process is continued until convergence to an a priori specified material volume. The resulted web profiles show that when the stress is important, material removal is from the middle part of the web, while for frequency as the important objective, the removal is from near the rim part of the web. The suggested profile, corresponding to equal weight factor for the objectives, has a better volume and stress state compared to a standard web profile, and has a more uniform stress distribution. However, higher natural frequency, compared to that of the standard profile, are obtained for larger frequency weight factors, although with a bigger volume. In the end, considering manufacturability of the wheel, the jagged profile resulted from BESO is replaced with a fitted smooth curve and performing the finite element analysis on it. It is seen that there is an improvement in the obtained objectives for the smoothened profile, with no significant change in volume.
0

307
318


Aliasghar
Ataee
School of Mechanical Engineering, College of Engineering, University of Tehran, Iran.
Iran
aataee@ut.ac.ir


Ehsan
Azarlu
Mechanical Engineering Department, Islamic Azad UniversityKaraj Branch, Karaj, Iran.
Iran
ehsanazarlu@yahoo.com
BESO
Topology optimization
Railway wheel
Multiobjective optimization
[[1] Xie, Y.M. and G.P. Steven, A simple evolutionary procedure for structural optimization. Computers & structures, 1993. 49(5): p. 885896.##[2] Manickarajah, D., Y. Xie, and G. Steven, Optimisation of columns and frames against buckling. Computers & Structures, 2000. 75(1): p. 4554.##[3] Huang, X. and Y. Xie, Convergent and meshindependent solutions for the bidirectional evolutionary structural optimization method. Finite Elements in Analysis and Design, 2007. 43(14): p. 10391049.##[4] Shabani Nodehi .S, S. R. Falahatgar, R. Ansari, Studying the effects of design parameters on the final topology of planar structures by improved bidirectional evolutionary Structural optimization method, Modares Mechanical Engineering, Vol. 16, No. 5, pp. 2938, 2016. (in Persian)##[5] Shobeiri, V., The topology optimization design for cracked structures. Engineering Analysis with Boundary Elements, 2015. 58: p. 2638.##[6] Cazacu R, Grama L. Overview of structural topology optimization methods for plane and solid structures. Annals of the University of Oradea, Fascicle of Management and Technological Engineering. 2014 Dec.##[7] Farzanegan.M,A.Ohadi Esfehani, S. H. Hoseini, Investigating the effect of web curvature of wagon wheel on itsphysical performance using, FEM,15th annual international ISME conference, 2007. (in Persian)##[8] Fermér, M., Optimization of a railway freight car wheel by use of a fractional factorial design method. Proceedings of the Institution of Mechanical Engineers, Part F: Journal of Rail and Rapid Transit, 1994. 208(2): p. 97107.##[9] Hirakawa, K. and H. Sakamoto, Effect of design variation on railroad wheel fracture. ASME paper, 1981.##[10] Huang, X. and M. Xie, Evolutionary topology optimization of continuum structures: methods and applications. 2010: John Wiley & Sons.##[11] Liang, Q.Q., Y.M. Xie, and G.P. Steven, Optimal topology selection of continuum structures with displacement constraints. Computers & Structures, 2000. 77(6): p. 635644.##[12] Cho, K.H., J.Y. Park, S.P. Ryu, S.Y. Han., Reliabilitybased topology optimization based on bidirectional evolutionary structural optimization using multiobjective sensitivity numbers. International Journal of Automotive Technology, 2011. 12(6): p. 849856.##[13] Code, U., 5102, 2004. Trailing stock: wheels and wheelsets. Conditions concerning the use of wheels of various diameters.##[14] U. Code, 5151, 2003, Passenger rolling stock – Trailer bogies –Running gear – General provisions applicable to the components of trailers bogies.##[15] U. Code, 8613 Leaflet 1991, International Union of Railways, 3rd ed.##[16] EN, B., 139791. Railway ApplicationWheelsets and BogiesMonobloc WheelsTechnical Approval ProcedurePart1: Forged and Rolled Wheels, 2003.##]
1

On the Analysis of Laminar Flow of Viscous Fluid through a Porous Channel with Suction/Injection at Slowly Expanding or Contracting Walls
https://jcamech.ut.ac.ir/article_63371.html
10.22059/jcamech.2017.239995.178
1
The vast biological and industrial applications of laminar flow of viscous fluid through a porous channel with contracting or expanding permeable wall have attest to the importance of studying the flow process. In this paper, twodimensional flow of viscous fluid in a porous channel through slowly expanding or contracting walls with injection or suction is analyzed using variation parameter method. From the parametric studies using the developed approximate analytical solutions, it is shown that increase in the Reynolds number of the flow process leads to decrease in the axial velocity at the center of the channel during the expansion. The axial velocity increases slightly near the surface of the channel when the wall contracts at the same rate. Also, as the wall expansion ratio increases, the velocity at the center decreases but it increases near the wall. The results of the approximate analytical solution are verified by numerical solution using shooting method coupled with RungeKutta method. The results of the variation parameter method are in excellent agreement with the results obtained using numerical method.
0

319
330


Gbeminiyi
Sobamowo
Department of Mechanical Engineering, University of Lagos, Nigeria
Iran
mikegbeminiyiprof@yahoo.com
Viscous
Porous channel
Expanding or Contracting walls
Variation parameter method
Biological applications
[[1] A. S. Berman, “Laminar ﬂow in channels with porous walls,” Journal of Applied Physics, vol. 24, pp. 1232–1235, 1953.##[2] R. M. Terrill, “Laminar ﬂow in a uniformly porous channel,” The Aeronautical Quarterly, vol. 15, pp. 299–310, 1964.##[3] R. M. Terrill, “Laminar flow in a uniformly porous channel with large injection,” Aeronaut. Q. 16, 323–332 (1965)##[4] E. C. Dauenhauer and J. Majdalani, “Exact selfsimilarity solution of the NavierStokes equations for a porous channel with orthogonally moving walls,” Physics of Fluids, vol. 15, no. 6, pp. 1485–1495, 2003.##[5] J. Majdalani, “The oscillatory channel ﬂow with arbitrary wall injection,” Zeitschrift fur Angewandte Mathematik und Physik, vol. 52, no. 1, pp. 33–61, 2001.##[6] J. Majdalani and T.S. Roh, “The oscillatory channel ﬂow with large wall injection,” Proceedings of the Royal Society of London. Series A, vol. 456, no. 1999, pp. 1625–1657, 2000.##[7] J. Majdalani and W. K. van Moorhem, “Multiplescales solution to the acoustic boundary layer insolid rocket motors,” Journal of Propulsion and Power, vol. 13, no. 2, pp. 186–193, 1997##[8] L. Oxarango, P. Schmitz, and M. Quintard, “Laminar ﬂow in channels with wall suction or injection: a new model to study multichannel ﬁltration systems,” Chemical Engineering Science,vol.59,no.5, pp. 1039–1051, 2004.##[9] T. A. Jankowski and J. Majdalani, “Symmetric solutions for the oscillatory channel ﬂow with arbitrary suction,” Journal of Sound and Vibration, vol. 294, no. 4, pp. 880–893, 2006.##[10] A. Jankowski and J. Majdalani, “Laminar ﬂow in a porous channel with large wall suction and a weakly oscillatory pressure,” Physics of Fluids, vol. 14, no. 3, pp. 1101–1110, 2002.##[11] Zhou and J. Majdalani, “Improved meanﬂow solution for slab rocket motors with regressing walls,” Journal of Propulsion and Power, vol. 18, no. 3, pp. 703–711, 2002.##[12] J. Majdalani and C. Zhou, “Moderatetolarge injection and suction driven channel ﬂows with expanding or contracting walls,” Zeitschrift fur Angewandte Mathematik und Mechanik, vol. 83, no. 3,pp. 181–196, 2003.##[13] W. A. Robinson, The existence of multiple solutions for the laminar ﬂow in a uniformly porous channel with suction at both walls, J. Eng. Math. 10, 23–40 (1976).##[14] M. B. Zaturska, P. G. Drazin, and W. H. H. Banks, “On the ﬂow of a viscous ﬂuid driven along a channel by suction at porous walls,” Fluid Dynamics Research, vol. 4, no. 3, pp. 151–178, 1988.##[15] . H. Si, L. C. Zheng, X. X. Zhang, Y. Chao: Existence of multiple solutions for the laminar ﬂow in a porous channel with suction at both slowly expanding or contracting walls. Int. J. Miner. Metal. Mater. 11, 494501 (2011)##[16] X. H. Si, L. C. Zheng, X. X. Zhang, M. Li, J. H. Yang, Y. Chao: Multiple solutions for the laminar ﬂow in a porous pipe with suction at slowly expanding or contracting wall. Appl. Math. Comput. 218, 35153521 (2011)##[17] J. Majdalani, C. Zhou, and C. A. Dawson, “Twodimensional viscous ﬂow between slowly expanding or contracting walls with weak permeability,” Journal of Biomechanics, vol. 35, no. 10, pp. 1399–1403, 2002.##[18] S. Dinarvand, A. Doosthoseini, E. Doosthoseini, and M. M. Rashidi, “Comparison of HAM and HPM methods for Berman’s model of twodimensional viscous ﬂow in porous channel with wall suction or injection,” Advances in Theoretical and Applied Mechanics, vol. 1, no. 7, pp. 337–347, 2008##[19] J. Xu, Z. L. Lin, S. J. Liao, J. Z. Wu, J. Majdalani: Homotopy based solutions of the NavierStokes equations for a porous channel with orthogonally moving walls. Phys. Fluids 22, 053601 (2010).##[20] S. Dinarvand and M. M. Rashidi, “A reliable treatment of a homotopy analysis method for two dimensional viscous ﬂow in a rectangular domain bounded by two moving porous walls,” Nonlinear Analysis: Real World Applications, vol. 11, no. 3, pp. 1502–1512, 2010.##[21] M. G. Sobamowo. Thermal analysis of longitudinal fin with temperaturedependent properties and internal heat generation using Galerkin’s method of weighted residual. Applied Thermal Engineering 99(2016), 1316–1330.##[22] M. A. Noor, S. T. MohyudDin, A. Waheed. Variation of parameters method for solving ﬁfthorder boundary value problems. Appl Math Inf Sci 2008;2:135–41##[23] S. T. MohyudDin, M. A. Noor, A. Waheed. Variation of parameter method for solving sixthorder boundary value problems. Commun Korean Math Soc 2009;24:605–15##[24] S. T. MohyudDin, N. A. Noor, A. Waheed A. Variation of parameter method for initial and boundary value problems. World Appl Sci J 2010;11:622–39##[25] S. T. MohyudDin, M. A. Noor, A, Waheed. Modiﬁed variation of parameters method for secondorder integrodifferential equations and coupled systems. World Appl Sci J 2009;6:1139–46##[26] J. Ramos. On the variational iteration method and other iterative techniques for nonlinear differential equations. Appl Math Comput 2008;199:39–69.##[27] N. Ahmed, S. U. Jan, U. Khan, S. T. MohyubDin. Heat transfer analysis of thirdgrade fluid flow between parallel plates: Analytical solutions. Int. J. Appl. Comput. Math, 2015##]
1

Analysis and Optimization using Renewable Energies to Get NetZero Energy Building for Warm Climate
https://jcamech.ut.ac.ir/article_63296.html
10.22059/jcamech.2017.240840.182
1
Due to low energy price, economic optimization of consumption has no justification for users in Iran. Nowadays, the issue of ending fossil fuels, production of greenhouse gases and the main role of building in consumption of considerable amount of energy has drawn the focus of global researches to a new concept called net zero energy building. In this study, modeling, simulation and energy analysis have been used for considered building in Zahedan weather condition which has a dry and warm climate to draw the related equations and perform analysis. MultiObjective optimization has been performed for simultaneous reduction of total energy consumption and total cost where the main decision making variables including thermal comfort, cooling, heating and lighting systems and other variables have been influential. The comparison of an ordinary optimized building and the intended optimized building which uses renewable energy resources indicates that it is possible to get to net zero energy building in addition to selling surplus 2 MWh electrical energy to electricity grid with simultaneous use of solar and wind renewable energies.
0

331
344


Mohsen
Mahdavi Adeli
Department of Mechanical Engineering, University of Sistan and Baluchestan, Zahedan, Iran
Iran
mahdavi_mech_eng@yahoo.com


Said
Farahat
Department of Mechanical Engineering, University of Sistan and Baluchestan, Zahedan, Iran
Iran
dr.said.farahat.usb@gmail.com


Faramarz
Sarhaddi
Department of Mechanical Engineering, University of Sistan and Baluchestan, Zahedan, Iran
Iran
fsarhaddi@eng.usb.ac.ir
NET ZERO ENERGY BUILDINGS (NZEB)
Optimization
ENERGY ANALYSIS
Renewable Energies
[[1] S. Farahat, M. MahdaviAdeli, 2015, Renewable energies & Their Optimum Consumption, Ahwaz Medical Science and Technology Publishing, second editioned. (in Persian)##[2] A. J. Marszal, P. Heiselberg, J. S. Bourrelle, E. Musall, K. Voss, I. Sartori, A. Napolitano, Zero Energy Building – A review of definitions and calculation methodologies, Energy and Buildings, Vol. 43, No. 4, pp. 971979, 2011.##[3] S. Deng, R. Z. Wang, Y. J. Dai, How to evaluate performance of net zero energy building – A literature research, Energy, Vol. 71, pp. 116, 2014.##[4] J. Kneifel, D. Webb, Predicting energy performance of a netzero energy building: A statistical approach, Applied Energy, Vol. 178, pp. 468483, 2016.##[5] P. M. Congedo, C. Baglivo, D. D'Agostino, I. Zacà, Costoptimal design for nearly zero energy office buildings located in warm climates, Energy, Vol. 91, pp. 967982, 2015.##[6] S. GuillénLambea, B. RodríguezSoria, J. M. Marín, Comfort settings and energy demand for residential nZEB in warm climates, Applied Energy, Vol. 202, pp. 471486, 2017.##[7] F. Ascione, N. Bianco, O. Böttcher, R. Kaltenbrunner, G. P. Vanoli, Net zeroenergy buildings in Germany: Design, model calibration and lessons learned from a casestudy in Berlin, energy and Buildings, Vol. 133, pp. 688710, 2016.##[8] F. Ascione, N. Bianco, R. F. De Masi, G. M. Mauro, G. P. Vanoli, Energy retrofit of educational buildings: Transient energy simulations, model calibration and multiobjective optimization towards nearly zeroenergy performance, energy and Buildings, Vol. 144, pp. 303319, 2017.##[9] F. Ascione, N. Bianco, C. De Stasio, G. M. Mauro, G. P. Vanoli, A new methodology for costoptimal analysis by means of the multiobjective optimization of building energy performance, energy and Buildings, Vol. 88, pp. 7890, 2015.##[10] A. Boyano, P. Hernandez, O. Wolf, Energy demands and potential savings in European office buildings: Case studies based on EnergyPlus simulations, energy and Buildings, Vol. 65, pp. 1928, 2013.##[11] P. Moran, J. Goggins, M. Hajdukiewicz, Superinsulate or use renewable technology? Life cycle cost, energy and global warming potential analysis of nearly zero energy buildings (NZEB) in a temperate oceanic climate, energy and Buildings, Vol. 139, pp. 590607, 2017.##[12] N. Delgarm, B. Sajadi, S. Delgarm, Multiobjective optimization of building energy performance and indoor thermal comfort: A new method using artificial bee colony (ABC), energy and Buildings, Vol. 131, pp. 4253, 2016.##[13] S. Berry, D. Whaley, K. Davidson, W. Saman, Near zero energy homes – What do users think?, Energy Policy, Vol. 73, pp. 127137, 2014.##[14] M. Marta, L. M. Belinda, Simplified model to determine the energy demand of existing buildings. Case study of social housing in Zaragoza, Spain, energy and Buildings, Vol. 149, pp. 483493, 2017.##[15] L. Olatomiwa, S. Mekhilef, M. S. Ismail, M. Moghavvemi, Energy management strategies in hybrid renewable energy systems: A review, Renewable and Sustainable Energy Reviews, Vol. 62, pp. 821835, 2016.##[16] P. Brinks, O. Kornadt, R. Oly, Development of concepts for costoptimal nearly zeroenergy buildings for the industrial steel building sector, Applied Energy, Vol. 173, pp. 343354, 2016.##[17] M. BraulioGonzalo, M. D. Bovea, Environmental and cost performance of building’s envelope insulation materials to reduce energy demand: Thickness optimisation, energy and Buildings, Vol. 150, pp. 527545, 2017.##[18] A. Buonomano, G. De Luca, U. Montanaro, A. Palombo, Innovative technologies for NZEBs: An energy and economic analysis tool and a case study of a nonresidential building for the Mediterranean climate, energy and Buildings, Vol. 121, pp. 318343, 2016.##[19] E. Cuce, P. M. Cuce, C. J. Wood, S. B. Riffat, Optimizing insulation thickness and analysingenvironmental impacts of aerogelbased thermal superinsulation in buildings, energy and Buildings, Vol. 77, pp. 2839, 2014.##[20] J. Eshraghi, N. Narjabadifam, N. Mirkhani, S. SadoughiKhosroshahi, M. Ashjaee, A comprehensive feasibility study of applying solar energy to design a zero energy building for a typical home in Tehran, energy and Buildings, Vol. 72, pp. 329339, 2014.##[21] M. Ferrara, E. Fabrizio, J. Virgone, M. Filippi, A simulationbased optimization method for costoptimal analysis of nearly Zero Energy Buildings, energy and Buildings, Vol. 84, pp. 442457, 2014.##[22] M. Ferrara, E. Fabrizio, J. Virgone, M. Filippi, Energy systems in costoptimized design of nearly zeroenergy buildings, Automation in Construction, Vol. 70, pp. 109127, 2016.##[23] K. F. Fong, V. I. Hanby, T. T. Chow, HVAC system optimization for energy management by evolutionary programming, energy and Buildings, Vol. 38, No. 3, pp. 220231, 2006.##[24] K. F. Fong, V. I. Hanby, T. T. Chow, system optimization for HVAC energy management using the robust evolutionary algorithm, , Applied Thermal Engineering, Vol. 29, No. 11, pp. 23272334, 2009.##[25] E. H. Mathews, C. P. Botha, D. C. Arndt, A. Malan, HVAC control strategies to enhance comfort and minimise energy usage, energy and Buildings, Vol. 33, No. 8, pp. 853863, 2001.##[26] C. Good, I. Andresen, A. G. Hestnes, Solar energy for net zero energy buildings – A comparison between solar thermal, PV and photovoltaic–thermal (PV/T) systems, Solar Energy, Vol. 122, pp. 986996, 2015.##[27] W. Lin, Z. Ma, P. Cooper, M. ImrozSohel, L. Yang, Thermal performance investigation and optimization of buildings with integrated phase change materials and solar photovoltaic thermal collectors, energy and Buildings, Vol. 116, pp. 562573, 2016.##[28] E. Pikas, J. Kurnitski, M. Thalfeldt, L. Koskela, Costbenefit analysis of nZEB energy efficiency strategies with onsite photovoltaic generation, Energy, Vol. 128, pp. 291301, 2017.## [29] E. Pikas, M. Thalfeldt, J. Kurnitski, R. Liias, Extra cost analyses of two apartment buildings for achieving nearly zero and low energy buildings, Energy, Vol. 84, pp. 623633, 2015.##[30] P. Torcellini, S. Pless, M. Deru, 2006, Zero Energy Buildings: A Critical Look at the Definition, ", National Renewable Energy Laboratory (NREL),##[31] M. Kapsalaki, V. Leal, M. Santamouris, A methodology for economic efficient design of Net Zero Energy Buildings, energy and Buildings, Vol. 55, pp. 765778, 2012.##[32] National Renewable Energy Laboratory (NREL), 2015.##[33] D. E. (n.d.), Department of Energy, Building Technologies Office: EnergyPlusEnergySimulation Software, 2015.##[34] F. Sarhaddi, S. Farahat, H. Ajam, A. Behzadmehr, M. MahdaviAdeli, An improved thermal and electrical model for a solar photovoltaic thermal (PV/T) air collector, Applied Energy, Vol. 87, No. 7, pp. 23282339, 2010##]
1

A new virtual leaderfollowing consensus protocol to internal and string stability analysis of longitudinal platoon of vehicles with generic network topology under communication and parasitic delays
https://jcamech.ut.ac.ir/article_64168.html
10.22059/jcamech.2017.241467.184
1
In this paper, a new virtual leader following consensus protocol is introduced to perform the internal and string stability analysis of longitudinal platoon of vehicles under generic network topology. In all previous studies on multiagent systems with generic network topology, the control parameters are strictly dependent on eigenvalues of network matrices (adjacency or Laplacian). Since some of these eigenvalues are complex, the stability analysis with the presented methods is very hard or even impossible for large scale or timevarying networks. A new approach is introduced in this paper to decouple the large dimension closedloop dynamics to individual thirdorder linear differential equations. A new spacing policy function assuring safety and increasing the traffic capacity is introduced to adjust the intervehicle spacing. The stable regions of communication and parasitic delays are calculated by employing the cluster treatment characteristic roots (CTCR) method. In addition to internal stability, it will be shown that the presented approach guarantees the string stability of generic vehicular networks. The most important privilege of the presented method compared with the previous approaches, is that the control gains are independent on network structure. This new finding, simplifies the stability analysis and control design specially for large scale platoons and timevarying networks. Several simulation results are provided to show the effectiveness of the proposed approaches.
0

345
356


Hossein
Chehardoli
Department of Mechanical Engineering, K. N. Toosi University of Technology, Tehran, Iran.
Iran
h.chehardoli@mail.kntu.ac.ir


Mohammad Reza
Homaienezhad
Department of Mechanical Engineering, K. N. Toosi University of Technology, Tehran, Iran.
Iran
mrhomaienezhad@mail.kntu.ac.ir
Vehicular platoons
Internal stability
String stability
Generic network topology
Decoupling
[[1] Y. Li, D. Sun, W. Liu, M. Zhang, M. Zhao, X. Liao, L. Tang, Modeling and simulation for microscopic traffic flow based on multiple headway, velocity and acceleration difference, Nonlinear Dynamics, Vol. 66, No. 1, pp. 1528, 2011.##[2] F. Y. Wang, Parallel control and management for intelligent transportation systems: Concepts, architectures, and applications, IEEE Trans. on Intell. Transp. Sys., Vol. 11, No. 3, pp. 630638, 2010.##[3] H. Ge, R. Cheng, L. Lei, The theoretical analysis of the lattice hydrodynamic models for traffic flow theory, Physica A: Statistical Mechanics and its Applications, Vol. 389, No. 14, pp. 28252834, 2010.##[4] F. Wang, K. Wang, W. Lin, X. Xu, C. Chen, Datadriven intelligent transportation systems: A survey, IEEE Transaction on Intelligent Transpprtation System, Vol. 12, No. 4, pp. 16241639, 2011.##[5] D. Jia, D. Ngoduy, Platoon based cooperative driving model with consideration of realistic intervehicle communication, Transportation Research Part C: Emerging Technology, Vol. 68, pp. 245264, 2016.##[6] M. Amoozadeh, H. Deng, C. N. Chuah, H. M. Zhang, D. Ghosal, Platoon management with cooperative adaptive cruise control enabled by VANET, Vehicular Communication, Vol. 13, pp. 110123, 2015.##[7] K. Santhana, R. Rajamani, On spacing policies for highway vehicle automation, IEEE Transaction Intelligent Transportation System, Vol. 4, No. 4, pp. 147155, 2003.##[8] A. Ghasemi, R. Kazemi, S. Azadi, Stable decentralized control of platoon of vehicles with heterogeneous information feedback, IEEE Transaction Vehicular Technology, Vol. 62, pp. 4299–4308, 2013.##[9] M. Bernardo, A. Salvi, S. Santini, Distributed consensus Strategy for platooning of vehicles in the presence of timevarying heterogeneous communication delays, IEEE Transaction Inelligent Transportation System, Vol. 16, No. 1, pp. 102112, 2015.##[10] R. Rajamani, 2011, Vehicle dynamics and control, Springer Science & Business Media,##[11] G. J. Naus, R. P. Vugts, J. Ploeg, M. J. van de Molengraft, M. Steinbuch, Stringstable CACC design and experimental validation: A frequencydomain approach, IEEE Transactions on vehicular technology, Vol. 59, No. 9, pp. 42684279, 2010.##[12] H. Chehardoli, M. R. Homaeinezhad, Stable control of a heterogeneous platoon of vehicles with switched interaction topology, timevarying communication delay and lag of actuator, Proceedings of the Institution of Mechanical Engineers, Part C: Journal of Mechanical Engineering Science, pp. 0954406217709491, 2017.##[13] M. E. Khatir, E. Davidson, Bounded stability and eventual string stability of a large platoon of vehicles using nonidentical controllers, in Proceeding of, IEEE, pp. 11111116, 2015.##[14] R. Kianfar, P. Falcone, J. Fredriksson, A control matching model predictive control approach to string stable vehicle platooning, Control Engineering Practice, Vol. 45, pp. 163173, 2015.##[15] R. H. Middleton, J. H. Braslavsky, String instability in classes of linear time invariant formation control with limited communication range, IEEE Transactions on Automatic Control, Vol. 55, No. 7, pp. 15191530, 2010.##[16] X. Guo, J. Wang, F. Liao, R. S. H. Teo, Distributed adaptive integratedslidingmode controller synthesis for string stability of vehicle platoons, IEEE Transactions on Intelligent Transportation Systems, Vol. 17, No. 9, pp. 24192429, 2016.##[17] D. Swaroop, J. K. Hedrick, S. B. Choi, Direct adaptive longitudinal control of vehicle platoons, IEEE Transactions on Vehicular Technology, Vol. 50, No. 1, pp. 150161, 2001.##[18] J.W. Kwon, D. Chwa, Adaptive bidirectional platoon control using a coupled sliding mode control method, IEEE Transactions on Intelligent Transportation Systems, Vol. 15, No. 5, pp. 20402048, 2014.##[19] H. Chehardoli, M. R. Homaienezhad, Switching decentralized control of a platoon of vehicles with timevarying heterogeneous delay: a safe and dense spacing policy, J. Automobile Engin., Accepted for publication, pp. 113, 2017.##[20] A. Ghasemi, R. Kazemi, S. Azadi, Exact stability of a platoon of vehicles by considering time delay and lag, Journal of Mechanical Science and Technology, Vol. 29, No. 2, pp. 799, 2015.##[21] C. Wang, H. Nijmeijer, String stable heterogeneous vehicle platoon using cooperative adaptive cruise control, in Proceeding of, IEEE, pp. 19771982, 2015.##[22] H. Chehardoli, M. R. Homaienezhad, Third order safe consensus of heterogeneous vehicular platoons with MPF topology: constant time headway strategy, Journal Automobile Enginneering, Accepted for publication, pp. 113, 2017.##[23] A. Ghasemi, S. Rouhi, A safe stable directional vehicular platoon, Proceedings of the Institution of Mechanical Engineers, Part D: Journal of Automobile Engineering, Vol. 229, No. 8, pp. 10831093, 2015.##[24] L. Xu, L. Y. Wang, G. Yin, H. Zhang, Communication information structures and contents for enhanced safety of highway vehicle platoons, IEEE Transactions on vehicular Technology, Vol. 63, No. 9, pp. 42064220, 2014.##[25] A. A. Peters, R. H. Middleton, O. Mason, Leader tracking in homogeneous vehicle platoons with broadcast delays, Automatica, Vol. 50, No. 1, pp. 6474, 2014.##[26] L. Zhang, G. Orosz, Motifbased design for connected vehicle systems in presence of heterogeneous connectivity structures and time delays, IEEE Transactions on Intelligent Transportation Systems, Vol. 17, No. 6, pp. 16381651, 2016.##[27] A. Salvi, S. Santini, A. S. Valente, Design, analysis and performance evaluation of a third order distributed protocol for platooning in the presence of timevarying delays and switching topologies, Transportation Research Part C: Emerging Technologies, Vol. 80, pp. 360383, 2017.##[28] A. Ghasemi, R. Kazemi, S. Azadi, Stable decentralized control of a platoon of vehicles with heterogeneous information feedback, IEEE Transactions on Vehicular Technology, Vol. 62, No. 9, pp. 42994308, 2013.##[29] A. Ghasemi, R. Kazemi, S. Azadi, Stability analysis of bidirectional adaptive cruise control with asymmetric information flow, Proceedings of the Institution of Mechanical Engineers, Part C: Journal of Mechanical Engineering Science, Vol. 229, No. 2, pp. 216226, 2015.##[30] M. di Bernardo, P. Falcone, A. Salvi, S. Santini, Design, analysis, and experimental validation of a distributed protocol for platooning in the presence of timevarying heterogeneous delays, IEEE Transactions on Control Systems Technology, Vol. 24, No. 2, pp. 413427, 2016.##[31] C. D. Meyer, 2000, Matrix analysis and applied linear algebra, Siam,##[32] A. F. Ergenc, N. Olgac, H. Fazelinia, Extended Kronecker summation for cluster treatment of LTI systems with multiple delays, SIAM Journal on Control and Optimization, Vol. 46, No. 1, pp. 143155, 2007. ##]
1

A review of functionally graded thick cylindrical and conical shells
https://jcamech.ut.ac.ir/article_64074.html
10.22059/jcamech.2017.247963.220
1
Thick shells have attracted much attention in recent years as intelligent and functional graded materials because of their unique properties. In this review paper, some critical issues and problems in the development of thick shells made from Functionally graded piezoelectric material (FGPM) are discussed. This review has been conducted on various types of methods which are available for thick shell analysis and mainly focuses on elasticity theories, shear deformation theory, simplified theories and mixed theories since they were widely used in the modeling of FG thick shells. It is expected that this comprehensive study will be very beneficial to everyone involved or interested in the shell models.
0

357
370


Mohammad
Zamani Nejad
Department of Mechanical Engineering, Yasouj University, P.O.Box: 75914353, Yasouj, Iran
Iran
m_zamani@yu.ac.ir


Mehdi
Jabbari
Department of Mechanical Engineering, Yasouj University, P.O.Box: 75914353, Yasouj, Iran
Iran
smehdi.jabbari@gmail.com


Amin
Hadi
School of Mechanical Engineering, College of Engineering, University of Tehran, Iran
Iran
amin.hadi@ut.ac.ir
Thickwalled
Shell
Functionally graded Material (FGM)
Piezoelectric
[[1] P. Destuynder, A classification of thin shell theories, Acta Applicandae Mathematicae, Vol. 4, No. 1, pp. 1563, 1985.##[2] X. X. Hu, T. Sakiyama, H. Matsuda, C. Morita, Vibration analysis of twisted conical shells with tapered thickness, International journal of engineering science, Vol. 40, No. 14, pp. 15791598, 2002.##[3] M. Ghannad, G. H. Rahimi, M. Z. Nejad, Determination of displacements and stresses in pressurized thick cylindrical shells with variable thickness using perturbation technique, Mechanika, Vol. 18, No. 1, pp. 1421, 2012.##[4] M. D. Kashkoli, M. Z. Nejad, Effect of heat flux on creep stresses of thickwalled cylindrical pressure vessels, Journal of Applied Research and Technology, Vol. 12, No. 3, pp. 585597, 2014.##[5] W. Nowacki, Thermal stresses in shells, General Rep., Nonclassical shell problem, IASS, Warsaw, 1962.##[6] B. Sundarasivarao, N. 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