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Sensitivity Of The Response Of Thick Cross-ply Doubly Curved Panels To Edge Clamping

机译：厚交叉双曲面板对边缘夹紧的响应灵敏度

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摘要

A heretofore unavailable analytical solution to the problem of deformation of a finite-dimensional general cross-ply thick doubly-curved panel of rectangular plan-form, 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 shell analysis, with the C3-type clamped boundary condition prescribed at all four edges. The numerical accuracy of the solution is ascertained by studying the convergence characteristics of deflections and moments of a cross-ply spherical panel. The primary focus of the present study is to investigate the effect of edge clamping on the response of a thick laminated doubly-curved panel, while keeping the surface-parallel edge constraints unaltered. Important numerical results presented include sensitivity of the predicted response quantities of interest to lamination, material property, thickness and curvature effects, and edge clamping as well as their interactions.
机译：提出了迄今无法获得的用高阶剪切变形理论（HSDT）建模的矩形平面有限元一般交叉多层厚双曲线板变形问题的解析解决方案。基于边界不连续的广义双傅立叶级数方法，使用一种求解方法来求解由基于HSDT的叠层壳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C3型夹紧边界条件在所有四个边缘。通过研究交叉层球形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。本研究的主要重点是研究边缘夹持对厚层压双曲线板的响应的影响，同时保持表面平行的边缘约束不变。给出的重要数值结果包括预期的预期响应量对叠层的敏感性，材料特性，厚度和曲率效应，边缘夹持及其相互作用。

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