任意载荷作用下旋转波纹管的几何非线性有限元分析

提出用有限单元法对任意载荷作用下旋转波纹管进行几何非线性分析。根据旋转波纹管的特点，用两节点旋转锥壳单元将波纹管离散化，单元与单元之间以节点圆相连接。将载荷和位移沿环向展开成傅立叶级数，推导出修改的拉格朗日描述中旋转波纹管几何非线性有限元分析的基本方程，采用增量加载和牛顿拉菲逊迭代法，可方便有效地对旋转波纹管进行几何非线性计算。分析和算例表明计算结果可靠，可为工程中重要场合的波纹管设计提供理论依据。

Geometrical Non linear Finite Element Analysis for Bellows

This paper presents a geometrical non linear finite element analysis for bellows under arbitrary load. Considering the structural characteristics, the bellows was idealized as a series of conical frusta elements with two nodes, joined at nodal circles. The load and displacement were expanded in Fourier series in circumferential angle. The geometrical non linear equations of bellows were derived in the Updated Lagrangian formulation and discreted by finite element method. The geometrical non linear analysis of bellows can be completed effectively by using incremental load method and Newton Raphson iterative method. The numerical results show that the method is rational.