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A DQ large deformation analysis of composite plates on nonlinear elastic foundations

机译：非线性弹性地基上复合板的DQ大变形分析

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摘要

In this paper an attempt is made to explore the applicability and accuracy of a recently developed differential quadrature (DQ) methodology, for nonlinear analysis of composite plates. For this purpose, the large deformation analyses of symmetric and antisymmetric cross ply, thin, elastic rectangular laminated plates rested on nonlinear elastic foundations are investigated. Thin plate theory in conjunction with Green's strain and von Karman assumptions is used for modeling the nonlinear behavior of the plates. The nonlinear governing equations are discretized at whole domain grid points and boundary conditions are implemented exactly at boundary grid points. DQ solutions based on the first-order shear deformation theory (FSDT) are also obtained and comparative studies are made between two approaches for different cases. Convergence of the methodology is demonstrated and the results are compared with existing solutions of other methods. It is shown that accurate results are obtained even when using only small number of grid points.
机译：在本文中，尝试探索最近开发的微分求积（DQ）方法用于复合板非线性分析的适用性和准确性。为此，研究了基于非线性弹性基础的对称和反对称交叉层，薄的弹性矩形层压板的大变形分析。结合格林的应变和冯·卡曼假设的薄板理论被用来建模板的非线性行为。非线性控制方程在整个域网格点处离散，并且边界条件在边界网格点处精确实现。还获得了基于一阶剪切变形理论（FSDT）的DQ解决方案，并对两种方法针对不同情况进行了比较研究。证明了该方法的收敛性，并将结果与​​其他方法的现有解决方案进行了比较。结果表明，即使仅使用少量网格点，也可以获得准确的结果。

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