根据圆柱壳的控制方程及其混合变分原理 ,引入对偶变量即应力与位移作为状态变量 ,导出圆柱壳的状态方程 ,研究其解法。对于轴对称问题 ,应用分离变量法建立指数矩阵 ,将问题分解为两个一维问题。根据开莱 -哈密顿算法或直接展形法来计算指数矩阵 ,再根据应力与位移的边界条件 ,得到问题的定解方程 ,从而求得厚薄圆柱壳的两类场变量的统一解 ,即全部应力与位移量 According to the governing equations of cylindrical shell and its mixed variational principle, the dual variables, namely stress and displacement, are introduced as state variables, the state equations of cylindrical shell are deduced, and their solutions are studied. For the axisymmetric problem, an exponential matrix is ​​established by using the method of separating variables, and the problem is decomposed into two one-dimensional problems. According to the Kareem-Hamilton algorithm or the direct expansion method, the exponential matrix is ​​calculated, and then the solution equation of the problem is obtained according to the boundary conditions of stress and displacement, so that the unified solution of two types of field variables Stress and displacement