圆环壳承受“风型”载荷时的方程及其解

Complex Variable Equation and Approximate Asymptotic Solution of Toroidal Shells under "Wind-Type" Loads

根据壳体理论，采用ＨＯＢ关于旋转薄壳的基本方程，对圆环壳在承受“风型”载荷时，通过适当的变换导出了带转向点的二阶应变量方程，并求得了逼近一渐近解，此解对不同环壳参数μ值，在包含＝０的转向点在内的整个区域上都是一致有效的。用不同μ值环壳的Ｃ型波纹管作为实例计算说明了解的一致有效性。

The complex variable equations of second order with a turning pointfor toroidal shells under 'wind-type' loads are derived from basic equationsof revolving shells by Novozhiloy and approximate asymptotic solution isobtained. This solution is valid both for different values of parameter uand for the whole region containing =0. Two practical examples for Ctype bellows of different values of μ verify the validity of the solutions aregiven.