Journal of Computational Applied Mechanics

Vibration analysis of double bonded composite pipe reinforced by BNNTs conveying oil

Document Type : Research Paper

Authors

1 1. Institute of Nanoscience & Nanotechnology, University of Kashan, Iran 2. Department of Mechanical Engineering, University of Kashan, Iran

2 Department of Mechanical Engineering, University of Kashan, Iran

Abstract

In the present research, nonlinear vibration in a coupled system of Boron-Nitride nano-tube reinforced composite (BNNTRC) oil pipes is studied. Single-walled Boron-Nitride nano-tubes (SWBNNTs) are arranged in a longitudinal direction inside Poly-vinylidene fluoride (PVDF) matrix. Damping and shearing effects of surrounded medium are taken into account by visco-Pasternak model. Based on piezoelectric fiber reinforced composite (PFRC) theory, properties of smart coupled BNNTRC oil pipes are obtained. The equations of motion as well as the boundary conditions are derived using Hamilton’s principle. The effects of various parameters such as volume fraction and orientation angle of fibers, viscosity and density of fluid on stability of coupled BNNTRC oil pipes are investigated. Results indicate that stability of smart composite system is strongly dependent on angle orientation and volume percent of BNNTs. Results of this investigation can be used in oil refineries.

Keywords

Main Subjects

[1]. Shu, C. (1996). “Free vibration analysis of composite laminated conical shells by generalized differential quadrature.” J. Sound. Vib., vol. 194, PP. 587-604.
[2]. Kadoli, R. and Ganesan, N. (2003). “Free vibration and buckling analysis of composite cylindrical shells conveying hot fluid.” Compos.  Struct., vol. 60 , PP. 19–32.
 [3]. Wang, X. and Zhong, Z. (2003). “Threedimensional solution of smart laminated anisotropic circular cylindrical shells with imperfect bonding.” Int. J. Solids. Struct., vol.  40 PP. 5901–5921.
[4]. Salehi-Khojin, A. and Jalili, N. (2008).  “Buckling of boron nitride nano-tube reinforced
piezoelectric polymeric composites subject to combined electro-thermo-mechanical loadings.”  Compos. Sci. Technol., vol. 68, PP. 1489-1501.
[5]. Amabili, M., Karagiozis, K. and Paidoussis, M.P. (2009). “Effect of geometric imperfections on non-linear stability of circular cylindrical shells conveying fluid.” Int. J. Solids. Struct.,  vol. 44 , PP. 276–289.
[6]. Rahmani, O., Khalili, S.M.R. and Malekzadeh,  K. (2009). “Free vibration response of composite sandwich cylindrical shell with  flexible core.” Compos. Struct., vol. 92, PP. 1269–1281.
 [7]. Zhou, X. and Wang, L. (2012). “Vibration and stability of micro-scale cylindrical shells conveying fluid based on modified couple stress theory.” Micro Nano Lett., vol. 7, PP. 679–684.
[8]. Ghorbanpour Arani, A., Amir, S., Shajari, A.R. and Mozdianfard, M.R. (2012). “Electro-thermo-mechanical buckling of DWBNNTs embedded in bundle of CNTs using nonlocal piezoelasticity cylindrical shell theory.” Compos. Part B: Engineering., vol. 43, PP. 195-203.
[9]. Ghorbanpour Arani, A., Shokravi, M., Amir, S. and Mozdianfard, M.R. (2012). “Nonlocal electro-thermal transverse vibration of embedded fluid-conveying DWBNNTs.” J. Mech. Sci. Technol., vol. 26 , PP. 1455-1462.
[10]. Ghorbanpour Arani, A., Shajari, A.R., Amir, S. and Loghman, A. (2012). “Electro-thermo-mechanical nonlinear nonlocal vibration and instability of embedded micro-tube reinforced by BNNT, conveying fluid.” Physica E., vol. 45, PP. 109–121.
[11]. Ghorbanpour Arani, A., Abdollahian, M., Kolahchi, R. (2014). “Nonlinear Vibration of Embedded Smart Composite Microtube Conveying Fluid Based on Modified Couple Stress Theory.” Polym. Compos. , PP. 1-11.
[12]. Tan, P. and Tong, L. (2001). “Micro-electro-mechanics models for piezoelectric-fiber reinforced composite materials.” Compos. Sci. Technol., vol. 61, PP. 759–769.
[13]. Tan, P. and Tong, L. (2001). “Micromechanics models for non-linear behavior of piezoelectric fiber reinforced composite materials.” Int. J. Solids. Struct., vol. 38, PP. 8999–9032.
[14]. Mase, G.T. and Mase, G.E. (1999). Continuum Mechanics for Engineers. Second ed., CRC Press, Michigan.
[15]. Ghorbanpour Arani, A., Kolahchi, R. and Khoddami Maraghi, Z. (2013). “Nonlinear vibration and instability of embedded double-walled boron nitride nano-tubes based on nonlocal cylindrical shell theory.” APPl. Math. Modell., vol. 37 , PP. 7685–7707.
[16]. Zhou, X. and Wang, L. (2012). “vibration and stability of micro-scale cylindrical shells conveying fluid based on modified couple stress theory.” Micro. Nano. Lett., vol. 7, PP. 679–684.
[17]. Fox, W.P., Pritchard, J. and McDonald, A.T. (2005). Introduction to Fluid Mechanics. sixth ed., John Wiley & Sons Pub, New York.
[18]. Karniadakis, G., Beskok, A. and Aluru, N. (2005). Micro-flows Nano-flows: Fundamental simulation. Springer Pub, New York.
[19]. Mirramezani, M. and Mirdamadi, H.R. (2012). “The effects of Knudsen-dependent flow velocity on vibrations of a nano-pipe conveying fluid.” Arch. APPl. Mech., vol. 82, PP. 879-890.
[20]. Kaviani, F. and Mirdamadi, H.R. (2012). “Influence of Knudsen number on fluid viscosity for analysis of divergence in fluid conveying nano-tubes.” Comput. Mater. Sci., vol. 61, PP. 270–277.
[21]. Ghorbanpour Arani, A. and Amir, S. (2013). “Electro-thermal vibration of visco-elastically coupled BNNT systems conveying fluid embedded on elastic foundation via strain gradient theory.” Physica B., vol. 419, PP.1–6.
[22]. Shu, C. (2000). Differential Quadrature and its APPlication in Engineering. Springer Pub, London.
[23]. Liu, Z.H., Pan, C.T., Lin, L.W. and Lai, H.W. (2013). “Piezoelectric properties of PVDF/MWCNT nano-fiber using near-field electrospinning.” Sens. Actuators, vol. 193, PP. 13– 24.
 
Journal of Computational Applied Mechanics
Volume 46, Issue 2 - Serial Number 2
July 2015
Pages 93-105
  • Receive Date: 07 October 2014
  • Accept Date: 07 May 2015