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首页> 外文期刊>Composite Structures >Fourier solution to a thick cross-ply Levy type clamped plate problem
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Fourier solution to a thick cross-ply Levy type clamped plate problem

机译：厚交叉层Levy型夹板问题的傅里叶解决方案

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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 C4-type clamped 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 square cross-ply plate. Hitherto unavailable important numerical results presented include sensitivity of the predicted response quantities of interest to lamination, lamina material property, and thickness-to-length ratio, as well as their interactions. Comparison with their SS2 counterparts demonstrates the effect of end clamping on the deflections and moments of thin to thick cross-ply plates.
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的叠层板分析生成的五个高度耦合的线性偏微分方程组，且C4型夹紧边界条件规定为两个相对的边缘，而其余两个边缘则受SS3类型约束。通过研究方形交叉层板的挠度和弯矩的收敛特性，可以确定解决方案的数值精度。迄今为止，尚无法获得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，厚度与长度之比，以及它们之间的相互作用。与它们的SS2同类产品的比较表明，端部夹紧对薄到厚的交叉层板的挠度和弯矩的影响。

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