| 固体力学有限元体系的结构拓扑变化理论 |
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| 引用本文： | 荣廷玉,吕安琪.固体力学有限元体系的结构拓扑变化理论[J].固体力学学报,1993,14(2):124-136. |
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| 作者姓名： | 荣廷玉 吕安琪 |
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| 作者单位： | 西南交通大学，西南交通大学 成都 610031 Dept.of MeM，ODU Norfolk，VA23529-0247 USA，成都 610031 Dept.of MeM，ODU Norfolk，VA23529-0247 USA |
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| 摘 要： | 本文是文1]的继续.文1]提出了杆件系统的结构拓扑变化理论和拓扑变化法本文将这一理论和方法推进到连续体有限元体系;且在此基础上揭示出有限元体系的一个新性质,称为基本位移之梯度的正交性定理,从而给出一套设计敏度的显式表达式,可直接用于计算.
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| 关 键 词： | 固体力学 有限元 结构 拓扑 |
THEORY OF STRUCTURAL TOPOLOGICAL VARIATIONS OF FINITE ELEMENT SYSTEMS IN SOLID MECHANICS |
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| Rong Tingyu Lu Anqi.THEORY OF STRUCTURAL TOPOLOGICAL VARIATIONS OF FINITE ELEMENT SYSTEMS IN SOLID MECHANICS[J].Acta Mechnica Solida Sinica,1993,14(2):124-136. |
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| Authors: | Rong Tingyu Lu Anqi |
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| Institution: | Rong Tingyu~* Lu Anqi~* |
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| Abstract: | This paper is the continuation of the author's previous work.It extends the theory and method ofstructural topological variations presented therein from skeletal structures to the finite element systems incon(?)nua.Besides,based on this theory it brings to light a new property of finite element systems,stated asthe gradient orthogonality theorem of basic displacements,and hence,supplies a set of explicitformulations for design sensitivity analysis,which can be directly used in computations. |
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| Keywords: | solid mechanics finite element optimum design structural topology sensitivity analysis |
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