Abstract
A nonlinear shear-deformable theory is presented for dynamic behavior of generally laminated circular plate composed of rectilinearly orthotropic layers. The basic equations derived by use of Hamilton's principle and variational calculus are expressed in terms of the transverse displacement and two in-plane displacements. On the basis of a single-mode analysis a solution is formulated for clamped laminated circular plates with movable and immovable inplane boundary conditions. Two inplane equilibrium equations and all boundary conditions are satisfied exactly. The Galerkin procedure yields a nonlinear ordinary differential equation for the time function which is then solved by using the method of harmonic balance. Numerical results for the static large-deflection behavior and the amplitude-frequency response of laminated angle-ply and cross-ply graphite-epoxy circular plates are presented for various values of the number of layers and the radius-to-thickness ratio.
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