用Green函数求解扁球壳受环状线载和线偶作用的问题

本文从复变量形式的扁壳基本方程出发,通过建立复Green函数导出了在环状线载和线偶作用下扁球壳的位移和内力分布,通过积分可以求得轴对称的表面受变化分布载荷情况的解答,本文方法还可求得圆饭、圆柱壳等问题的解答,而且适用于各种轴对称边界条件。

SOLVING THE PROBLEMS OF SHALLOW SPHERICAL SHELLDUE TO LINELOADS AND LINE MOMENTS BYGREEN''''S FUNCTION

This paper derives the solutions of shallow spherical shell due to line loads or line moments by means of construcing Green's function from the homogeneous differential equations of shallow shell whose solution is in a complex from, Integrating the results, We shall obtain the solution of shallow sphercal shell due to axisymmetrical loads distributed along the shell Following this, the solutions of circular plate and the cylindrical shell are obtained by using this paper's method and the results are suitable for any axisymmetrical edge condition.