Mathematical model for dynamic analysis of internal combustion engines

Document Type : Research Paper


1 Department of Engineering Mechanics, Transilvania University of Brasov, 500036, Romania

2 Romanian Academy Technical Sciences, 030167 Bucharest, Romania

3 Academy of Romanian Scientists, Str. Oltet, nr. 3, 050045 Bucharest, Romania

4 Faculty of Science and Technology, Sidi Mohamed Ben Abdellah University, Fez 30000, Morocco

5 Department of Mathematics, Chandigarh University, Punjab, India


The existence of friendly programming environments, which allow the transposition of models developed for different mechanical systems into numerical procedures, easy to access, make it necessary to develop models of mechanical systems used in industry. In this work, we propose to do this for an internal combustion engine. The offered model allows the unitary solution of problems of this type, which involves the calculation of the forces appearing in the engine elements. It offers the possibility to analyze different constructive types of engines. The model is a complex model that finally provides the forces existing in different elements of the engine as well as the developed engine torque.


Main Subjects

[1]          S. Kumar, S. Maheshwari, Literature review on analysis of various components of IC engine, Materials Today: Proceedings, Vol. 5, pp. 19027-19033, 01/01, 2018.
[2]          T. Campbell, J. Yang, Z. Ren, Computer aided design and development in engine technology, in Proceeding of, 120-126.
[3]          M. A. ElBahloul, E. S. Aziz, C. Chassapis, Kinematic and Dynamic Performances of the Hypocycloid Gear Mechanism for Internal Combustion Engine Applications, SAE International Journal of Engines, Vol. 15, No. 03-15-02-0010, pp. 223-246, 2021.
[4]          R. Yadav, P. Singh, K. Sharma, A computational study on camshaft used in IC engine under various materials and load conditions, Materials Today: Proceedings, Vol. 45, 02/01, 2021.
[5]          J. Guo, R. B. Randall, P. Borghesani, W. A. Smith, M. D. Haneef, Z. Peng, A study on the effects of piston secondary motion in conjunction with clearance joints, Mechanism and Machine Theory, Vol. 149, pp. 103824, 2020/07/01/, 2020.
[6]          D. Şahin, Dynamic Design of Crank-Rocker SI Engine Mechanism, Journal of Vibration Engineering & Technologies, Vol. 10, 07/29, 2022.
[7]          J. Tzoref, A. Stotter, Y. Zvirin, Dynamic response of the temperature and stress fields in an I.C. engine piston, International Journal of Mechanical Sciences, Vol. 20, No. 9, pp. 581-592, 1978/01/01/, 1978.
[8]          G. Rizzoni, Estimate of indicated torque from crankshaft speed fluctuations: A model for the dynamics of the IC engine, IEEE transactions on vehicular technology, Vol. 38, No. 3, pp. 168-179, 1989.
[9]          M. Cocconcelli, A. Agazzi, E. Mucchi, G. Dalpiaz, R. Rubini, Dynamic analysis of coupling elements in IC engine test rigs, in Proceeding of, 1005-1018.
[10]        Q.-h. Zhang, X. Zheng, H.-y. Zhang, J. Mao, P. Song, Z.-y. Hao, An Improved TEHL Model for Main Bearings of IC Engine with Flexible Crankshaft and Block, 中國機械工程學刊, Vol. 39, No. 4, pp. 365-374, 2018.
[11]        I. Abbas, A. Hobiny, M. Marin, Photo-thermal interactions in a semi-conductor material with cylindrical cavities and variable thermal conductivity, Journal of Taibah University for Science, Vol. 14, No. 1, pp. 1369-1376, 2020.
[12]        S. Vlase, M. Marin, P. Bratu, O. A. O. SHRRAT, Analysis of Vibration Suppression in Multi-Degrees of Freedom Systems, Romanian Journal of Acoustics and Vibration, Vol. 19, No. 2, pp. 149-156, 2022.
[13]        P. Bratu, S. Vlase, N. Dragan, O. Vasile, I. Calin, T. Ana, Modal Analysis of the Inertial Platform of the Laser ELI-NP Facility in Magurele-Bucharest, Vol. 19, pp. 112-120, 03/23, 2023.
[14]        P. Bratu, N. Marilena Cristina, O. Tonciu, Effect of Vibration Transmission in the Case of the Vibratory Roller Compactor, Vol. 20, pp. 67-72, 10/02, 2023.
[15]        L. Codarcea-Munteanu, M. Marin, S. Vlase, The study of vibrations in the context of porous micropolar media thermoelasticity and the absence of energy dissipation, Journal of Computational Applied Mechanics, Vol. 54, No. 3, pp. 437-454, 2023.
[16]        G. Lawrance, D. Shylu, Study on the Influence of Magnetorheological Fluid Damper on Vibration in Rotating Machinery, Romanian Journal of Acoustics and Vibration, Vol. 19, No. 1, pp. 29-35, 2022.
[17]        A. Potîrniche, O. Vasile, G. Florin, Modal Analysis of a Mechanical System Modeled as a 6 Degrees-of- Freedom Solid Body with Elastic Bearings and Structural Symmetries, Vol. 19, pp. 36-40, 03/23, 2023.
[18]        A. Modrea, S. Vlase, T.-D. Horatiu, M. Mihalcica, R. Calin, C. Astalos, Properties of advanced new materials used in automotive engineering, Optoelectronics and Advanced Materials, Rapid Communications, Vol. 7, pp. 452-455, 05/01, 2013.
[19]        P. K. Samal, B. Murali, Abhilash, T. Pasha, Finite Element Analysis of Connecting Rod of IC Engine, MATEC Web of Conferences, Vol. 34, pp. 02004, 12/11, 2015.
[20]        S. Vlase, A Method of Eliminating Lagrangian Multipliers from the Equation of Motion of Interconnected Mechanical Systems, Journal of Applied Mechanics, 03/01, 1987.
[21]        G. Li, F. Gu, T. Wang, T. Yang, A. Ball, Investigation into the dynamic response of cylinder liners in an IC engine based on a validated finite-element model, Systems Science & Control Engineering, Vol. 5, pp. 56-69, 01/01, 2017.
[22]        T. Ramachandran, K. Padmanaban, P. Nesamani, Modeling and analysis of IC engine rubber mount using finite element method and RSM, Procedia engineering, Vol. 38, pp. 1683-1692, 2012.
[23]        M. Cocconcelli, M. Troncossi, E. Mucchi, A. Agazzi, A. Rivola, R. Rubini, G. Dalpiaz, Numerical and Experimental Dynamic Analysis of IC Engine Test Beds Equipped with Highly Flexible Couplings, Shock and Vibration, Vol. 2017, pp. 1-16, 07/09, 2017.
[24]        G. Li, F. Gu, T. Wang, J. You, A. Ball, Investigation into the Vibrational Responses of Cylinder Liners in an IC Engine Fueled with Biodiesel, Applied Sciences, Vol. 7, pp. 717, 07/13, 2017.
[25]        M. D. Haneef, R. B. Randall, W. Smith, Z. Peng, Vibration and Wear Prediction Analysis of IC Engine Bearings by Numerical Simulation, Wear, Vol. 384, 04/01, 2017.
[26]        J. Xiao, Q. Li, Z. Huang, Motion characteristic of a free piston linear engine, Applied Energy, Vol. 87, pp. 1288-1294, 04/01, 2010.
[27]        I. Negrean, A. Crisan, S. Vlase, A New Approach in Analytical Dynamics of Mechanical Systems, Symmetry, Vol. 12, pp. 95, 01/03, 2020.
[28]        X. Dai, X. Meng, Y. Xie, A Numerical Simulation of the Coupling Between Dynamic Behavior and Tribological Behavior in Cylinder-Piston System in IC Engine, in Proceeding of, 771-781.
[29]        A. Milasinovic, I. Filipovic, Z. Milovanovic, D. Knežević, Determination of the engine torque of a four cylinder four stroke diesel engine on the basis of harmonic analysis of the crankshaft angular velocity, Transactions of FAMENA, Vol. 35, pp. 55-65, 01/01, 2011.
[30]        M. Marin, A. Seadawy, S. Vlase, A. Chirila, On mixed problem in thermoelasticity of type III for Cosserat media, Journal of Taibah University for Science, Vol. 16, No. 1, pp. 1264-1274, 2022.
[31]        M. Fekry, M. Othman, Plane waves in generalized magneto-thermo-viscoelastic medium with voids under the effect of initial stress and laser pulse heating, Structural Engineering & Mechanics, Vol. 73, pp. 621-629, 03/25, 2020.
[32]        S. Abo-Dahab, A. Abouelregal, M. Marin, Generalized Thermoelastic Functionally Graded on a Thin Slim Strip Non-Gaussian Laser Beam, Symmetry, Vol. 12, pp. 1094, 07/02, 2020.
Volume 54, Issue 4
December 2023
Pages 607-622
  • Receive Date: 02 November 2023
  • Accept Date: 04 November 2023