有限长厚壁圆筒空间轴对称应力分析的康托洛维奇变分法

AN APPLICATION OF THE EXTENDED KANTOROVICH METHOD TO THE THREE-DIMENSIONAL AXIAL SYMMETRY STRESS ANALYSIS FOR THICK-WALLED CYLINDER WITH FINITE LENGTH

摘要: 在已有的文献中,尚未发现有把康托洛维奇变分法用于空间轴对称应力问题的工作。本文将康托洛维奇变分法(以下简称为“康氏法”)用于上述应力变分问题,并针对荷载为变量z的任意函数的有限长厚壁圆筒导出了欧拉方程及边界条件,从而扩大了康氏法的应用范围。文中给出了计算实例。

Abstract: The application of the Kantorovich method to the three-dimensional axial symmetry stress analysis has not been found. In this paper, the Kantorovich method was applied on stress variation of aforesaid problem, the Eular equations and boundary conditions were derived for thick-walled cylinder with finite length loaded surface force which is an arbitrary function of variable z, thereby the application range of the Kantorovich method is expanded. A calculation example was given in this paper.