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.
کلید واژگان :
Nonlinear vibration Plates Homotopy perturbation method Time function
