有限元体系的M-P逆结构拓扑变化法

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M-P Inverse Topological Variation Method of Finite Element Structures

Department of Mechanics Jilin University of Technology, Changchun 130025, P. R. China

摘要: 本文应用Moore-Penrose逆理论,给出了一套当结构拓扑发生变化时结构静力响应的计算公.式其特点是不需建立求解线性方程组.
- 拓扑修改 /
- 结构分析 /
- M-P逆理论 /
- 有限元结构
Abstract: Using Moore-Penrose inverse theory,a set of formulations for calculating the static responses of a changed finite element structure are given in this paper.Using these formulations in struct ural analysis may eliminate the need of assembling the stiffness matrix and solving a set of simultaneous equations.
- topology modification /
- structural analysis /
- M-P inverse /
- finite element structures

[1]	Z.S.Liu and S.H.Chen,Reanalysis of static response and its design sensitivity of locally modified structures,Communications in Numerical Methods in Engineering,8(11)(1992),797-800.
[2]	A.Abu and B.H.V.Topping,Static reanalysis:A review,Journal of Structural Division,ASCE,113(1987),1029-1045.
[3]	M.P.Bendsφe,Generating optimal to pologies in structural design using a homogenization method,Computer Methods in Applied Mechanics and Engineering,71(1988),197-224.
[4]	B.H.V.Topping,Shape Optimization of skeletal structures:A Review,J.Struct.Eng.ASCE,109(1983),1933-1951.
[5]	Uri Kirsch,Optimal topologies of structures,Appl.Mech.Rev.,42(8)(1989),223-238.
[6]	K.I.Majid and D.W.C.Elliott,Forces and deflexions in changing structures,The Structural Engineer,51(3)(1973).
[7]	K.I.Majid,M.P.Sake and T.Celik,The theorems of structural variation generalized for rigidly jointed frames,Proc.Inst.Cir.Eng.,65(2)(1978).
[8]	荣廷玉、吕安琪,固体力学有限元体系的结构拓扑变化理论,固体力学学报,14(2)(1993),124-136.
[9]	A.Ben-Israel and T.N.E.Greville,Generalized inverse:Theory and Applications,John Wiley,New York(1974).
[10]	蒋正新、施国梁,《矩阵理论及其应用》,北京航空出版社,北京(1988).
[11]	K.J.Bathe,E.J.Wilson,N umer ical Methods in Finite Element A nalysis,Prentice-Hall(1976).

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