On the basis of fundamental equations of three-dimensional problem of elasticity, series of asymtotic equations of torsion problem of closed thick toroidal shell has been established by expanding a power series with a small parameter.

• 基于弹性力学三维问题的基本方程组,利用小参数幂级数展开的方法,建立了闭合厚环壳扭转问题的渐近方程组,并以子午截面边介线为同心园及偏心园的厚环壳为例,说明了渐近方程组的解法及其解的渐近特性。