Abstract
This study deals with the large amplitude forced vibrations of specially orthotropic thin rectangular plates. Geometric nonlinearity is included in accordance with von Kármán type large deflection plate theory. The transverse displacement is assumed to be harmonic at the same frequency as that of the uniformly distributed harmonic force. The displacements are expanded space-wise in terms of polynomial basis functions which satisfy the boundary conditions. Time is eliminated by averaging over the time-period of the harmonic force. The orthogonal point collocation method is used to obtain the discretized equations. These nonlinear equations are solved by an iterative procedure. Plates with all edges clamped or simply-supported and immovable inplane are considered. The relations of amplitude and frequency ratio for rectangular plates made of various orthotropic materials are presented.
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