林小松. 用双向三角级数法解悬臂矩形薄板在静水压力下的弯曲[J]. 工程力学, 1986, 3(2): 10-20.
引用本文: 林小松. 用双向三角级数法解悬臂矩形薄板在静水压力下的弯曲[J]. 工程力学, 1986, 3(2): 10-20.
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Lin Xiaosong. Solution for Bending Cantilever Rectangular plates under the Hydrostatic pressure by the Method of Two-Direction Trigonometic Series[J]. Engineering Mechanics, 1986, 3(2): 10-20.
Citation: Lin Xiaosong. Solution for Bending Cantilever Rectangular plates under the Hydrostatic pressure by the Method of Two-Direction Trigonometic Series[J]. Engineering Mechanics, 1986, 3(2): 10-20.
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用双向三角级数法解悬臂矩形薄板在静水压力下的弯曲

Solution for Bending Cantilever Rectangular plates under the Hydrostatic pressure by the Method of Two-Direction Trigonometic Series

    摘要
  • 摘要: 1979年以来清华大学张福范教授等用迭加法陆续得出了悬臂矩形板在均布荷载和一些集中荷载作用下的解析解。本文作者拟用不同于迭加法的另一种方法——双向三角级数法来求解悬臂矩形板在静水压力作用下的的挠度,文中并说明了用这种方法求解矩形板在任意板面分布荷载作用下的挠度的一般步骤。

     

    Abstract: Since 1979, prof. F. V. Chang of Tsing Hua University has obtained, by the method of superposition, a series analytic solutions for cantilever rectangu lar plates under uniform load and some cases of concentrated loads. In this paper, the problem of bending of cantilever rectangular plates under hydrostatic pressure is solved by the method of two-direction trigonometric series instead of the method of superposition. The application of the pre sent method to the bending of rectangular plates underany distributed surface-load is explained.

     

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