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弹性地基上自由边矩形板的弯曲、稳定和振动
引用本文:成祥生.弹性地基上自由边矩形板的弯曲、稳定和振动[J].应用数学和力学,1988,9(6):529-533.
作者姓名:成祥生
作者单位:同济大学
摘    要:本文讨论了在弹性地基上自由边矩形板的弯曲、稳定和振动的问题.本文选择了一个挠曲函数,它不但能满足自由边的全部边界条件,而且也满足了自由角点的条件,从而得到了较好的近似解,文中使用了能量法.

收稿时间:1987-02-26

The Bending,Stability and Vibrations of Rectangular Plates with Free Edges on Elastic Foundations
Institution:Tongji University, Shanghai
Abstract:This paper discusses the problems of the bending, stability and vibrations of the rectangular plates with free boundaries on elastic foundations. In the present paper we select a flexural function, which satisfies not only all the boundary conditions of free edges but also the conditions at free corner points, and consequently we obtain a better approximate solution. The energy method is used in this paper.
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