用矩法计算受轴对称分布荷载的扁圆锥薄壳的非线性稳定

本文以幂函数作试函数,用矩法计算受轴对称分布荷载的扁圆锥薄壳的非线性稳定。边界考虑了弹性支承,把固定夹紧、可移夹紧、铰支承及简单支承作为它的四种特殊情形。荷载采用了多项式形的分布荷载及均布边缘力矩。受均布荷载作用,在夹紧边界条件下,本文的结果同摄动法的结果作了比较。本文分析了摄动法积加权残数法各自的特点,指出用加权残数法编制通用计算程序比较简单容易得多。

Nonlinear Stability of a Shallow Conical Thin Shell under Axisymmetrical Distributed Load by Moment Method

In this paper, after taking power functions as trial functions nonlirear stability of a shallow conical thin shell under axisymmetrical distributed load si solved by the Moment Method. Elastic edges are consi deredo Rigidly clamped, clamped but free to slip, simply hinged and sire ply supported edges are dealt as its four special cases. Distributed loadis regarded as polynomial function or uniformly distributed moment alh ng the edge. Under uniform distributed load with clamped edger resultso obtained by MM are compared with those obtained by perturtation Metod. In the paper, characteristics of PM and Method of Weighted residua ls are discussed and it is much easier to ,write general computer programs by MW R,