静水压力下变厚度圆柱(锥)壳结构强度分析

摘要

A new method called Analytic Element Method (AEM) is proposed to analyze the strength of cylinder and cone shell with varible thickness under static pressure.Based on cylindrical shell theory, stiffness matrix and loading matrix of this structure are constructed.The results obtained by AEM are in good agreement with FEM' results to a model having cylinder and cone shells. AEM could be extended to the strength analysis of cylinder and cone shells structure under axial-symmetry pressure.%文章将变厚度圆柱(锥)壳简化为轴对称的二节点单元,根据平衡方法推导了该结构的单元刚度阵与载荷阵,建立了求解静水压力下变厚度圆柱(锥)壳结构强度的解析单元法(AEM).利用该方法对一个简单的变厚度锥柱接合壳算例进行了计算并与有限元方法的计算结果进行了比较.研究表明,文中提出的AEM法可以对静水压力下变厚度锥壳结构强度进行准确分析.该方法可以推广到各种轴对称压力作用下的变厚度圆柱(锥)壳结构强度分析.