Homotopy perturbation study of nonlinear vibration of Von Karman rectangular plates

RASHIDI, M.M., SHOOSHTARI, A. and BEG, Osman (2012). Homotopy perturbation study of nonlinear vibration of Von Karman rectangular plates. Computers and Structures, 106-7, 46-55.

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Abstract

Based on the Von Karman theory, the equations of motion for a rectangular isotropic plate, considering the effect of shear deformation and rotary inertia, have been derived. For the nonlinear vibration of the plate, a nonlinear coupled equation is obtained with an Airy stress function. Using the Galerkin method, this equation is separated into position and time functions. The Homotopy Perturbation Method (HPM) is employed to solve the nonlinear time function. It is shown that the obtained results demonstrate excellent agreement with numerical solutions obtained using the fourth-order Runge–Kutta method.

Item Type:	Article
Research Institute, Centre or Group:	Materials and Engineering Research Institute > Polymers Nanocomposites and Modelling Research Centre > Materials and Fluid Flow Modelling Group
Identification Number:	10.1016/j.compstruc.2012.04.004
Depositing User:	Hilary Ridgway
Date Deposited:	06 Jun 2012 09:52
Last Modified:	21 Mar 2013 15:43
URI:	http://shura.shu.ac.uk/id/eprint/5308

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