| 基于欧拉描述的两节点索单元非线性有限元法 |
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| 引用本文： | 唐建民,吴黎华.基于欧拉描述的两节点索单元非线性有限元法[J].上海力学,1999,20(1):89-94. |
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| 作者姓名： | 唐建民 吴黎华 |
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| 作者单位： | [1]河海大学土木工程学院 [2]浙江省宁海县水利局 |
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| 摘 要： | 本文针对柔性悬索结构几何非线性分析的特点，提出了一种用欧拉描述来表示的两节点索单元非线性有限元模型，在索元变形后的位置上由虚功能建立了非线有限元基本方程及切线刚度矩阵。这样建立的非线性有限元分析方法可充分考虑拉索的几何非线性特性的影响并给悬索结构的初始平衡分析带来方便，算例结果表明，本文方法是精确有效的。
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| 关 键 词： | 悬索结构 欧拉描述 非线性 有限元 索单元 |
A EULERIAN GEOMETRICALLY NON-LINEAR FINITE ELEMENT METHOD WITH TWO-NODE CABLE ELEMENT FOR THE ANANLYSIS OF CABLE STRUCTURES |
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| Tang Jianmin Zhao Yin.A EULERIAN GEOMETRICALLY NON-LINEAR FINITE ELEMENT METHOD WITH TWO-NODE CABLE ELEMENT FOR THE ANANLYSIS OF CABLE STRUCTURES[J].Chinese Quarterly Mechanics,1999,20(1):89-94. |
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| Authors: | Tang Jianmin Zhao Yin |
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| Abstract: | This paper presented a finite element method with two-node cable elememt for the geometrically non-linear analysis of cable structures, the displacement formulation of which was defined in the Eulerian coordinate system. By means of the virtual displacement principle, the finite element equation and the stiffness matrix of the cable element were obtained. The method retained all geometric nonlinearities and allowed for any elastic deformation, and was easily to be applied in the analysis of form and force finding. The results of two examples show that the paper's method is very precise and valid. |
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| Keywords: | cable structures nonlinear finite element Eulerian coordinate system |
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