索穹顶结构非线性分析的曲线索单元有限元法

针对目前在国内外引起广泛关注的大跨度索穹顶结构建议的了一种五节点曲线索单元有限元法，利用四次多项式作为位移插值函数，由应变的定义建立了可以考虑任意高阶位移影响的非线性应几何关系，从非线性弹性理论出发并基于Ｌａｇｒａｎｇｉａｎ坐标推导了胡限元基本方程，进行了实例计算。

Finite Element Method with Curved Cable Element for the Nonlinear Analysis of Cable Domes

A finite element method with five-node cable element for the nonlinear analysis of long-span spatial cable domes which was playing a great role in structural engineering was presented in this paper. The polynomial of degree four was used as the displacement functions. By means of the definition of Lagrangian strain, the nonlinear geometrical expression of which was set up, as a result, the effect of displacement with the terms of any high orders can be considered. In terms of the nonlinear theory elastically and using the Lagrangian method, the authors derived the finite element formulation, and used this model to compute the cable styuctures, the results of which showed very well, and could meet the need of the engineering. Method presented in this paper can be applied in the analysis of long- span structures, such as: cable structures, cable domes, cable stayed towers and so forth.