三维桁架的几何非线性分析(英文)

GEOMETRICAL NONLINEAR ANALYSIS OF 3-D TRUSSES

基于虚功增量理论 ,提出了关于三维桁架的几何非线性的全拉格郎日方程 ,简要讨论了跟踪平衡过程的弧长运算法则。将全拉格郎日方程和弧长方法汇编成计算机程序 ,可用来分析三维桁架结构。数据算例表明 ,计算结果准确 ,说明这种运算方法是正确的。

Based on the incremental principle of virtural work, a formulation of Total Lagrangian (TL) for a three dimensional truss element with geometrical nonlinear behavior is presented. The arc length algorithm for tracing the equilibrium path is briefly discussed. TL formulation and arc length method are integrated into a computer program to analyze the features of 3 D truss structures. Two numerical examples are given to show the accuracy of the formulation and the success of the algorithm.