Nonlinear Deflection of Rectangular Plates by Differential Quadrature
Energy, perturbation, analytical, and numerical methods have been the most widely used solution techniques for the problem of geometrically nonlinear bending of plates. These methods, however, have drawbacks such as complexity, lack of generality, need of initial trial solutions, and considerable computational effort. The numerical technique of differential quadratrue overcomes some of these shortcomings. It is used in the present to examine the large deflection behavior of thin rectangular isotropic plates with clamped or simply supported edges. Center deflections are calculated for the cases of uniform pressure or a patch load at the center. The results compare well with existing analytical and numerical solutions and the method is computationally efficient.
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