与线弹性结构连接的弹性基础圆板大挠度问题

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The Large Deflection on Problem of Circular Plate on Elastic Foundation and in Conjunction with Linear Elastic Structure

摘要: 本文处理边界与线弹性结构连接的弹性基础圆板的轴对称大挠度问题.用混合边界条件方法^[1]建立了问题的确定积分方程组,并进行了简化.用摄动法给出了解答.计算了圆板与圆柱壳组合问题的例子.

Abstract: This paper deals with the axisymmetrical deformation of the circular plate in large deflection,which is on elastic foundation and in conjunction with a certain linear elastic structure.The governing integral equations are established by the method of mixed boundary condition 1 and the simplified form is given.The pertrubation method is used to obtain the solutions and an example of the composite structure made up of a circular plate and a cylindrical shell is presented.

[1]	陈山林、张立英,处理一类线性和非线性组合结构的混合边界条件方法,《第一届东亚结构工程和建筑会议论文集》.泰国曼谷(1986.1).
[2]	钱伟长、叶开沅,圆板的大挠度问题,物理学报,10,3(1954),209-238.
[3]	陈山林,圆板大挠度的钱伟长解及其渐近特性,应用数学和力学,3.4(1982),513-518.
[4]	刘人怀、陈山林,椭球封头中心开孔接管的强度问题,兰州大学科技专刊,1(1973).14-28.