| 三维桁架的几何非线性分析 |
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| 引用本文： | 颜庆智,俞然刚. 三维桁架的几何非线性分析[J]. 中国石油大学学报(自然科学版), 2000, 24(2) |
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| 作者姓名： | 颜庆智 俞然刚 |
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| 作者单位： | 石油大学建筑工程系,山东东营257062 |
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| 摘 要： | 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。
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| 关 键 词： | 全拉格朗日方程 弧长 虚功增量理论 三维桁架 张量 应力 应变 |
GEOMETRICALLY NONLINEAR ANALYSIS OF 3-D TRUSSES |
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| Yan Qing-zhi,Yu Ran-gang. GEOMETRICALLY NONLINEAR ANALYSIS OF 3-D TRUSSES[J]. Journal of China University of Petroleum (Edition of Natural Sciences), 2000, 24(2) |
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| Authors: | Yan Qing-zhi Yu Ran-gang |
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| Affiliation: | Yan Qing zhi and Yu Ran gang |
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| Abstract: | 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. |
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| Keywords: | TL formulation arc length incremental principle of virtural work 3 D truss tensor stress strain |
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