Abstract
The nonlinear theory of Hoff type sandwich plates underlying geometrically nonlinear dynamic response is derived from Hamilton's principle. It is shown how the fundamental equations and boundary conditions of dimensionless form can be simplified to the Reissner-Mindlin type theory of moderately thick plates, the Reissner's theory of sandwich plates, and the Kirchhoff theory of thin plates. Nonlinear bending of rectangular sandwich plates is investigated under lateral pressure with some symmetric boundary conditions. Exact solutions of series form are obtained by developing a new technique of mixed Fourier series in nonlinear analysis. The nonlinear partial differential equations are reduced to an infinite set of simultaneous nonlinear algebraic equations, which are truncated and solved by iteration in numerical computations. The present solutions are satisfactory in comparison with other available results.
Published Version
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