有限长厚壁圆筒空间轴对称问题的高级康托洛维奇应力变分解  

A KANTOROVICH-TYPE STRESS VARIATIONAL METROD OF HIGHER APPROXIMATION FOR THE FINITE THICK WALLED CYLINDERS UNDER THE AXISYMMETRICALLOAN

作　　者：林小松[1] 

机构地区：[1]湘潭工学院,湘潭211201

出　　处：《工程力学》1999年第6期119-132,共14页Engineering Mechanics

摘　　要：本文对空间轴对称问题采用事先满足柱面应力边界条件和平衡方程的应力表达式进行变分与积分运算：推导出康托洛维奇法高级近似的欧拉方程和相应的端部条件；通过推导和实例计算表明了其数学计算方法和原则：厚壁圆筒的实例计算结果与解析解进行了对照，本文高级近似使应力值的精确度明显地高于文献［２］的一级近似。This paper is concerned with high-order approximation of thick-walled cylinders.Stress expressions are selected to satisfy the three-dimensional axisymmetric stress equilibriumequations and stress boundary conditions at the surfaces of the cylinders. Variation and integrationof the stress expressions are conducted and the Euler equations and corresponding end conditionsare established. To verify the present Kantorovich-type approximation. an example is provided andcomparison is made with the theoretical solution. It is shown that the present solution is moreaccurate than the first-order approximation

关 键 词：康托洛维奇法 应力 变分 厚壁圆筒 空间轴对称问题 

分 类 号：O343.2[理学—固体力学] TU311[理学—力学]