Large-deflection and large-amplitude free vibrations of laminated composite-material plates
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Finite-element analysis of the large-deflection theory (in von Karman's sense), including transverse shear, governing moderately thick, laminated anisotropic composite plates is presented. Linear and quadratic rectangular elements with five degrees of freedom (three displacements, and two shear rotations) per node are employed to analyze rectangular plates subjected to various loadings and edge conditions. Numerical results for bending deflections, stresses, and natural frequencies are presented showing the parametric effects of plate aspect ratio, side-to-thickness ratio, orientation of layers, and anisotropy. The finite-element solutions are found to be in excellent agreement with the exact closed-form solutions in the linear analysis. In the nonlinear analysis, the finite-element solutions are in fair agreement with the perturbation solution. The load-deflection curve in the shear deformable theory does not deviate much from the linear theory, when compared to the load-deflection curve in the von Karman theory. 1981.