李增福, 冯正农. 边界元法在薄板大挠度弯曲问题中的应用[J]. 工程力学, 1987, 4(3): 1-9.
引用本文: 李增福, 冯正农. 边界元法在薄板大挠度弯曲问题中的应用[J]. 工程力学, 1987, 4(3): 1-9.
Li Zengfu, Feng Zhengnong. APPLICATION OF BOUNDARY ELEMENT METHOD IN BENDING PROBLEM OF THIN PLATES WITH LARGE DEFLECTION[J]. Engineering Mechanics, 1987, 4(3): 1-9.
Citation: Li Zengfu, Feng Zhengnong. APPLICATION OF BOUNDARY ELEMENT METHOD IN BENDING PROBLEM OF THIN PLATES WITH LARGE DEFLECTION[J]. Engineering Mechanics, 1987, 4(3): 1-9.

边界元法在薄板大挠度弯曲问题中的应用

APPLICATION OF BOUNDARY ELEMENT METHOD IN BENDING PROBLEM OF THIN PLATES WITH LARGE DEFLECTION

  • 摘要: 本文提出一个用边界元法求解薄板大挠度弯曲问题的新途径。利用此方法计算了部分算例,其中圆板、椭圆板的计算结果与现有文献的结果进行了比较,证明了本方法是十分满意的。对于椭圆板,其结果比W. A. Nash得到的结果更接近试验值。本文还首次计算了正三角形及半圆形、半椭圆形板的大挠度弯曲问题,这些问题还尚未见到任何文献讨论过。

     

    Abstract: A new approach to the solution of large deflection bending problem of thin plates is presented by using boundary element method. It is proved that this approach is very satisfactory by several numerical examples in which circular and elliptical plates are compared with those from literature available now. As to the elliptical plate, calculation results are in better agreement with experimental results than those calculated by W. A. Nash. For first time, the large deflection bending problem of half-circular,half-elliptical and equilateral triangular plates are calculated, on which no discussion has yet been found in existing literature.

     

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