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板壳振动有限元分析

于 2022-03-21 发布 文件大小:7.37 kB
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在实际工程中,对板壳结构的处理多采用Kirchhoff假设和Hencky假设的两类板壳理论,基于Kirchhoff假设的经典薄板壳理论,忽略了剪切变形的影响,常适用于薄板壳结构分析;而基于Hencky假设的中厚板壳理论,则考虑了剪切变形的影响,适用于中等厚度的板壳结构分析。此外,与Hencky假设不同,Kirchhoff板壳控制微分方程为高阶偏微分方程,相应的有限元位移场插值函数须满足C1类连续,这给有限单元的构造带来了极大的困难。 本程序采用Hencky理论建立有限元模型,Hencky假设假定在变形前的中面法线在变形后仍为直线,但法线绕x,y轴转过了一定角度,数值上不再等于挠度的一阶导数,其余的假设与Kirchhoff假设一样(此时也称作Reissner-Mindlin板)。

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