索结构六节点等参元非线性有限元法

针对索结构几何非线性的特点,提出了一种六节点等参数单元有限元模型,采用5次多项式作为位移插值函数及单元初始形状函数,假定索是理想柔性,且满足胡克定律,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法进行求解.

Nonlinear Finite Element Analysis of Cable Structures Based on Six-node Isoparametric Element

Based on the geometric nonlinear behavior of the cable structures,a finite element method with six-node isoparameter has been presented in this paper;the fifth order polynomial has been used as the displacement functions and initial curve of the element.Assuming the cable to be ideal flexible,by means of Lagrangian method,the authors derived the finite element equations,and these can be solved by Newton-Raphson method.