Abstract
A nonlinear vibration theory which includes the effects of transverse shear deformation and rotatory inertia is formulated in this paper for orthotropic elliptical plates using the well-known Berger approximation. With the aid of these equations solutions are obtained for isotropic and composite plates by the Galerkin technique and numerical Runge-Kutta procedure. Present results are as good as those obtained by using more accurate theories. It is interesting to note that the present approach to the solution of the title problem is a simplification which results in a substantial saving in the analytical and computational efforts.
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