Nonlinear Vibration Analysis of Composite Plates on Elastic Foundations in Thermal Environments

Yıl 2017, Cilt: 17 Sayı: 2, 790 - 796, 31.08.2017

İhsan Küçükrendeci

Öz

Nonlinear vibrations of composite plates on an elastic foundation in thermal environments are presented in this study. Graphite/epoxy is selected as the plate material. The properties of composite material are assumed to be temperature-dependent. Nonlinear free vibrations of laminated composite plates are investigated in the fully clamped boundary conditions. The classical finite element method is used and a specially prepared computer code is written in the Matlab software. Vibrations of the spring supported laminated composite plate are directly influenced by the boundary conditions and dimensions of plate.In this study, generated graphical values reveal that foundation stiffness and temperature have significant effects on the linear and nonlinear frequencies of composite plates.

Anahtar Kelimeler

Nonlinear vibration, Composite plates, Elastic foundation, Temperature-dependent material properties, Finite element method

Kaynakça

• Wang, Z.X. and Shen, H.S.,2011.Nonlinear analysis of sandwich plates with FGM face sheets resting on elastic foundations. Composite Structure,93, 2521–2532.
• Zhen, W., Cheung, Y.K., Lob, S. and Wanji C., 2010. On the thermal expansion effects in the transverse direction of laminated composite plates by means of a global–local higher-order model. International Journal of Mechanical Sciences,52, 970–981.
• Wanga, Z.X. and Shen,H.S.,2013. Nonlinear dynamic response of sandwich plates with FGM face sheets resting on elastic foundations in thermal environments. Ocean Engineering ,57, 99–110.
• Zenkour, A.M. and Sobhy, M., 2010. Thermal buckling of various types of FGM sandwich plates. Composite Structure,93, 93–102.
• Shen, H.S. and Zhu, Z.H., 2012. Postbuckling of sandwich plates with nanotube-reinforced composite face sheets resting on elastic foundations.European Journal of Mechanics - A/Solids, 35, 10-21.
• Sofiyev, A.H. and Kuruoglu, N., 2013. Non-linear buckling of an FGM truncated conical shell surrounded by an elastic medium. International Journal of Pressure Vessels and Piping, 107, 38-49.
• Li, Z.M. and Lin, Z.Q., 2012. Thermal postbuckling of shear-deformable anisotropic laminated cylindrical shells with temperature-dependent properties. International Journal of Non-Linear Mechanics,47, 984–998.
• Xu, Y.M.; Shen, H.S.; Zhang, C.L., 2013. Nonlocal plate model for nonlinear bending of bilayer graphene sheets subjected to transverse loads in thermal environments. Composite Structure,98, 294–302.
• Shen, H.S., 2011. Nonlocal plate model for nonlinear analysis of thin films on elastic foundations in thermal environments. Composite Structure,93, 1143–1152.
• Zenkour, A.M., Allam, MNM. and Radwan, AF., 2013. Bending of cross-ply laminated plates resting on elastic foundations under thermo-mechanical loading. International Journal of Mechanics and Materials in Design, 9, 239–251.
• Zhen, W., Cheung, Y.K., Lob, S. and Wanji, C., 2010. On the thermal expansion effects in the transverse direction of laminated composite plates by means of a global–local higher-order model.International Journal of Mechanical Sciences, 52, 970–981.
• Moore, M.; Ziaei-Rad, S. and Salehi, H., 2013. Thermal response and stability characteristics of bistable composite laminates by considering temperature dependent material properties and resin layers. Applied Composite Materials.20, 87–106.
• Petyt, M., 1990. Introduction to Finite Element Vibration Analysis. Cambridge University Press, 125-137.
• Nonlinear Vibration Analysis of Composite Plates on Elastic Foundations in Thermal Environments, Küçükrendeci 796
• Morgül, Ö.K. and Küçükrendeci, İ., 2008. Effects of the mechanical properties of composite laminated plates on the free vibrations. Science and Engineering of Composite Materials, 15, 313-327.
• Karadağ, V. and Morgül, Ö.K., 1992. Nonlinear vibrations of rotating turbine blades subjected to transient heat flux and thermal gradient. ASME Engineering System Desing and Analysis,47 (5), 135-141.
• Singha, M.K. and Ramachandra, L.S. and Bandyopadhyay, J.N., 2001. Thermal postbuckling analysis of laminated composite plates. Composite Structure. 54, 453-458.
• Han, W. and Petyt, M., 1996. Linear vibration analysis of laminated rectangular plates using the hierarchical finite element method- I. Free vibration. Composite Structure,61 (4), 705-712.
• Chow, S.T., Liew, K.M. and Lam, K.Y., 1992. Tranverse Vibration of Symetrically Laminated Rectangular Composite Plates. Composite Structure,20, 213-216.