| 线弹性有限元中的图论方法 |
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| 引用本文： | 李向平,吴惠兰.线弹性有限元中的图论方法[J].北京理工大学学报,1987(3). |
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| 作者姓名： | 李向平 吴惠兰 |
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| 作者单位： | 北京工业学院应用力学系
(李向平)，北京工业学院应用力学系(吴惠兰) |
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| 摘 要： | 本文将文1]中建立的简化法则加以推广,使其不仅适用于无向图,而且也适用于有向图,不仅适用于求本征值和本征矢量,而且也适用于解线性方程组。 为了将上述法则应用于线弹性力学的有限元计算,本文建立了刚度赋权图,质量赋权图,本征赋权图之概念,从而把图论方法引入有限元。
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| 关 键 词： | 图论 有限元 线弹性 赋权图 |
GRAPH METHOD IN FINITE ELEMENT ANALYSIS OF ELASTIC BODIES |
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| Li Xiangping Wu Huijan.GRAPH METHOD IN FINITE ELEMENT ANALYSIS OF ELASTIC BODIES[J].Journal of Beijing Institute of Technology(Natural Science Edition),1987(3). |
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| Authors: | Li Xiangping Wu Huijan |
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| Institution: | Department of Applied Mechanics |
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| Abstract: | This paper extends the rules for simplification of weighted graph as established by one of the authors. It suits non-directional Coates figures as well as directional Coates figures. Meanwhile it suits the calculation of eigenvectors but also suits to solve system of linear equations.In order to apply such rules to finite element calculation of linearly elastic bodies, the concepts of rigidity weighted graph, mass weighted graph and characteristic weighted graph are defined. The graph method is thus introduced into finite element analysis of linearly elastic body. |
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| Keywords: | graph finite element linear elasticity weighted graph |
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