鞍形旋转壳在轴对称荷载下的一种新算法

A new way to calculate saddle rotational shell under symmetric load

对鞍形旋转壳的应力分析给出了一种新算法,即将鞍形旋转壳看作由环壳和球壳两部分组合而成,利用摄动理论中的指数近似法,分别对环壳和球壳进行了齐次解的渐近展开,然后再通过环壳和球壳交接处的联接条件求解.该算法大大降低了求解难度,且通过实例计算比较,表明该算法是正确实用的,其计算结果精度,接近于有限元算法的计算精度.

A new way has been given to analyze stresses of the saddle rotational shell. The saddle shell consists of a toroidal shell and a spherical shell; it could be solved by asymptotic perturbation method to spread complex variable differential equations. Conditions of continuity are used to deal with the joint of the toroidal shell and the spherical shell. This method has reduced the difficulty of shell's solution . The results have compared with some results that root in a finite element method; they two are near equal.