General instability and face wrinkling of sandwich plates - Unified theory and applications.
General instability and face wrinkling of sandwich plates - Unified theory and applications.
复制标题
夹层板的一般不稳定性和面起皱 - 统一理论和应用。
DOI：
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发表时间：
1966
期刊：
影响因子：
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通讯作者：
J. Mayers
中科院分区：
文献类型：
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作者：
Arthur S. Benson;J. Mayers
提出了具有理想正交各向异性芯（蜂窝）的夹层板的控制方程和适用的边界条件。方程和边界条件是第一个以变分方式导出的，其中包括横向剪切和法向应变效应。基于势能和使用拉格朗日乘子来引入面芯连续性要求的变分开发产生了预期的结果。值得注意的是，对于对称屈曲，每个板边缘有两个多项选择边界条件，而对于反对称屈曲，每个板边缘有五个多项选择边界条件。在边界条件允许的情况下，所提出的理论适用于控制方程的某些精确解，以及通过瑞利-里兹过程来解决更一般问题的近似解。屈曲标准以设计图表的形式呈现，包括一般不稳定性和面起皱，适用于具有一种简单支撑类型的板，以及具有一种类型的夹紧加载边缘和简支卸载边缘的板。检查和讨论了当前工作相对于现有高度受限解决方案的影响。
The governing equations and applicable boundary conditions for sandwich plates with ideally orthotropic cores (honeycomb) are presented. The equations and boundary conditions are the first to be derived variationally with both transverse shear and normal strain effects included. The variational development, based on potential energy and the use of Lagrange multipliers to introduce face-core continuity requirements, leads to the desired results. It is noted that for symmetric buckling there are two multiple-choice boundary conditions per plate edge, and for antisymmetric buckling there are five multiple-choice boundary conditions per plate edge. The theory presented lends itself to certain exact solutions of the governing equations, where boundary conditions permit, and approximate solutions via the Rayleigh-Ritz procedure for more general problems. Buckling criteria are presented in the form of design charts, including both general instability and face wrinkling, for plates with one type of simple support, and for plates with one type of clamped loaded edges and simply supported unloaded edges. The ramifications of the present work relative to existing highly restricted solutions are examined and discussed.