BUBBLE METHOD FOR TOPOLOGY AND SHAPE OPTIMIZATION OF STRUCTURES

被引:519
作者
ESCHENAUER, HA
KOBELEV, VV
SCHUMACHER, A
机构
[1] Research Center for Multidisciplinary Analyses and Applied Structural Optimization - FOMAAS, Institute of Mechanics and Control Engineering, University of Siegen, Siegen
来源
STRUCTURAL OPTIMIZATION | 1994年 / 8卷 / 01期
关键词
D O I
10.1007/BF01742933
中图分类号
TP39 [计算机的应用];
学科分类号
081203 ; 0835 ;
摘要
This paper addresses a novel method of topology and shape optimization. The basic idea is the iterative positioning of new holes (so-called ''bubbles'') into the present structure of the component. This concept is therefore called the ''bubble method''. The iterative positioning of new bubbles is carried out by means of different methods, among others by solving a variational problem. The insertion of a new bubble leads to a change of the class of topology. For these different classes of topology, hierarchically structured shape optimizations that determine the optimal shape of the current bubble, as well as the other variable boundaries, are carried out.
引用
收藏
页码:42 / 51
页数:10
相关论文
共 30 条
[1]  
Allaire G., Kohn R.V., Optimal design for minimum weight and compliance in plane stress using extremal microstructures, Eur. J. Mech. A/Solids, 12, pp. 839-878, (1993)
[2]  
Atrek E., SHAPE: a program for shape optimization of continuum structures, Proc. 1st Int. Conf. Opti'89, pp. 135-144, (1989)
[3]  
Banichuk N.V., Introduction to optimization of structures, (1990)
[4]  
Bendsoe M.P., Diaz A., Kikuchi N., Topology and generalized layout optimization of elastic structures, Topology design of structures, pp. 159-205, (1993)
[5]  
Bendsoe M.P., Kikuchi N., Generating optimal topologies in structural design using a homogenization method, Comp. Meth. Appl. Mech. Eng., 71, pp. 197-224, (1988)
[6]  
Bourgat J.F., Numerical experiments of the homogenisation method for operators with periodic coefficients, Lecture Notes in Mathematics704, pp. 330-356, (1973)
[7]  
Courant R., Hilbert D., Methods of mathematical physics I, (1968)
[8]  
De K., Fist and second-order shape sensitivity analysis of structures, Struct. Optim., 3, pp. 79-88, (1991)
[9]  
Eschenauer H.A., Geilen J., Wahl H.J., SAPOP- an optimization procedure for multicriteria structural design, Numerical methods in FE—based structural optimization systems. Int. Series of Num. Math., (1993)
[10]  
Eschenauer H.A., Schnell W., Elastizitätstheorie, (1993)