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Levy type analysis of cross-ply plates based on higher-order theory

机译：基于高阶理论的交叉板征型分析

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摘要

A hitherto unavailable Levy type analytical solution to the problem of deformation of a finite-dimensional general cross-ply thick rectangular plate, modeled using a higher-order shear deformation theory (HSDT), is presented. A solution methodology, based on a boundary-discontinuous generalized double Fourier series approach is used to solve a system of five highly coupled linear partial differential equations, generated by the HSDT-based laminated plate analysis, with the SS2-type simply supported boundary condition prescribed on two opposite edges, while the remaining two edges are subjected to the SS3-type constraint. The numerical accuracy of the solution is ascertained by studying the convergence characteristics of deflections and moments of a cross-ply plate and also by comparison with the available first-order shear deformation theory (FSDT) and classical lamination theory (CLT)-based analytical solutions. Hitherto unavailable important numerical results presented include sensitivity of the predicted response quantities of interest to lamination, lamina material property, and thickness effects, as well as their interactions.
机译：提出了迄今无法获得的使用高阶剪切变形理论（HSDT）建模的有限维普通交叉层厚矩形板变形问题的Levy型解析解。基于边界不连续的广义双傅立叶级数方法的求解方法用于求解由基于HSDT的层压板分析生成的五个高度耦合的线性偏微分方程组，其中规定了SS2型简单支撑边界条件在两个相对的边缘上，其余的两个边缘则受SS3类型约束。通过研究交叉板的挠度和弯矩的收敛特性，并与现有的基于一阶剪切变形理论（FSDT）和基于经典层合理论（CLT）的分析解决方案进行比较，可以确定该解决方案的数值精度。 。迄今为止，尚未提供的重要数值结果包括预期的预期响应量对叠层的敏感性，薄片材料特性和厚度效应以及它们之间的相互作用。

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