张拉结构非线性分析的五节点等参单元

本文针对张拉结构的特点，提出了一种五节点等参数单元有限元模型，采用四次多项式作为位移插值函数及单元初始形状函数，并假定索是理想柔性的且满足虎克定律，基于修正的Ｌａｇｒａｎｇｉａｎ坐标描述法，建立了非线性有限元基本方程和切线刚度矩阵，利用Ｎｅｗｔｏｎ－Ｒａｐｈｓｏｎ法进行了实例计算。结果表明：本文方法精度极高，可供大跨度索网，索穹顶，拉线塔等张拉结构分析，设计时采用。

A finite element method with five node isoparametric element for nonlinear analysis of tension structures

This paper applied nonlinear elastic theory to the tension structures, presented a finite element method with five node isoparametric element, used the polynomial of degree four as displacement functions and initial curve of the element. Assuming the cable to be ideal flexible, by means of Lagrangian method, authors derived the finite element equations, and used this method to compute tension structures. Comparing with the analytical method, authors found that this model leads to good precision, and can meet the need of the engineering. Model presented in this paper can be applied in the analysis of tension structures, such as: cable structures, cable domes, cable stayed towers and so forth.