组合旋转壳体的安定上限分析

对一般组合壳体的各个子区的位移场进行双三次Ｂ样条插值，同时对子区交界处的广义向量以单三次Ｂ样条展开，推导出以广义力向量表示的组合壳体的平衡方程，然后从Ｂｅｔｔｉ互换定理和虚功原理出发推导出离散的壳体结构中可能的塑性应变率循环，从而给出了组合壳体安定上限分析的有限元列式，把组合壳体的安定上限分析归结为求解一个数学规划问题，文末给出了算例。

Shakedown analysis of Combined Rotational shells

The double 3-B spline function is used to interpolate the sub-region generalized displacement field of the general combined rotational shell and the generaled stress vector of subregion niterface is also niterpolated with the B spline function. The equilibrium equations of the combined rotational shell is then deduced. The kinematically admissible planic strain rate cycles of discrete Structures are Obtained in terms of Betti's recipted theorem and the Principle of virtual work.The FEM formulation Of the kinematic shakedown analysis of combined shells is then given. The Problem studied is boiled down to solution to a mathematical program.