旋转壳的一般轴对称问题及积分方程分析*

本文得到了旋转弹性薄壳在一般荷载下轴对称问题的一种简化形式的复变量方程,该方程准确度在薄壳理论误差范围,并消除了经线极值奇点;给出了问题的Voltera积分方程表述及其数值解.

General Axisymmetry Problems for Shells of Revolution and Analyses of Intergral Equation

In this paper, a simplified equation in complex form for axisymmetry elastic thin shells of revolution under arbitrary distributed loads is given. The equation is equivalent to the exact equations within the error range of the thin shell theory, with the singularities at the points of meridional extreme values eliminated. A Volterra integral equation of the problem and the numerical solutions are given.