厚壁圆柱壳的弹性静力分析

Elastic Analysis of Thick-Walled Cylindrical Shells

本文研究了考虑横向剪切影响的弹性厚壁圆柱壳的静力问题。利用变分原理得到平衡微分方程组和相应的边界条件。将平衡方程组归并成一个高阶微分方程,用数值法求出它的特征根,得到问题的解。

The static problem of elastic thick-walled cylindrical shell taking into account of the effects of transverse shears is discussed in this paper. The basic assumption is that the transverse shear strains are quadratic functions of normal coordinate. By variational principle we obtain a system of differential equations and corresponding boundary conditions. The equations can be merged into a single higher-order equation and its analytical solution is obtained which compares well with corresponding 3-D finite element solution.