| 弹塑性结构安定下限分析的无网格局部Petrov-Galerkin法 |
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| 引用本文： | 陈莘莘,刘应华,岑章志.弹塑性结构安定下限分析的无网格局部Petrov-Galerkin法[J].力学学报,2009,41(5). |
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| 作者姓名： | 陈莘莘 刘应华 岑章志 |
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| 作者单位： | 清华大学航天航空学院工程力学系,北京,100084 |
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| 基金项目： | 国家自然科学基金(19902007);;全国优秀博士论文专项基金(200025)资助项目~~ |
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| 摘 要： | 将基于Voronoi结构的无网格局部Petrov-Galerkin法与减缩基技术相结合,建立了一种安定下限分析的新方法.为了克服移动最小二乘近似难以准确施加本质边界条件的缺点,采用了自然邻近插值构造试函数.通过引入基准载荷域上载荷角点的概念,消除了安定下限分析中由时间参数所引起的求解困难.利用减缩基技术,将安定分析问题化为一系列未知变量较少的非线性规划子问题.在每个非线性规划子问题中,自平衡应力场由一组带有待定系数的自平衡应力场基矢量的线性组合进行模拟,而这些自平衡应力场基矢量可应用弹塑性增鼍分析中的平衡迭代结果得到.算例结果汪明了提出的分析方法的有效性.
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| 关 键 词： | 局部Petroy-Galerkin法 VoroNoi图 安定分析 非线性规划 复合形法 |
A MESHLESS LOCAL PETROV-GALERKIN METHOD FOR STATIC SHAKEDOWN ANALYSIS OF ELASTO-PLASTIC STRUCTURES |
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| Chen Shenshen
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Liu Yinghua
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Cen Zhangzhi.A MESHLESS LOCAL PETROV-GALERKIN METHOD FOR STATIC SHAKEDOWN ANALYSIS OF ELASTO-PLASTIC STRUCTURES[J].chinese journal of theoretical and applied mechanics,2009,41(5). |
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| Authors: | Chen Shenshen Liu Yinghua Cen Zhangzhi |
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| Institution: | 2;Department of Engineering Mechanics;School of Aerospace;Tsinghua University;Beijing 100084;China |
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| Abstract: | Shakedown analysis is an important branch of plasticity and can provide a theoretical basis for engineering designs and safety assessments.Based on the static theorem of shakedown analysis,a novel numerical method is developed to perform lower bound shakedown analysis by means of meshless local Petrov-Galerkin method(MLPG) with the Voronoi cells and the reduced-basis technique.The natural neighbour interpolation is employed instead of the moving least squares approximation to construct trial functions.The n... |
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| Keywords: | local Petrov-Galerkin method Voronoi diagrams shakedown analysis non-linear programming complex method |
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