Structural optimization and form finding of light weight structures

被引:128
作者
Bletzinger, KU [1 ]
Ramm, E
机构
[1] Tech Univ Munich, Lehrstuhl Statik, D-80333 Munich, Germany
[2] Univ Stuttgart, Inst Baustatik, D-70550 Stuttgart, Germany
关键词
form finding; structural optimization; minimal surfaces; hanging models; light weight structures;
D O I
10.1016/S0045-7949(01)00052-9
中图分类号
TP39 [计算机的应用];
学科分类号
081203 ; 0835 ;
摘要
There exist three different lines of computational form finding methods: (i) simulation of hanging models, (ii) numerical simulation of soap films, and (iii) structural shape optimization. The aim of the present paper is to show their differences and common aspects when applied to the special task of maximizing stiffness. The inverse problem of simulation of soap films is formulated in more detail on the basis of differential geometry. The effect of internal pressure is discussed. Several illustrative examples are given. (C) 2001 Elsevier Science Ltd. All rights reserved.
引用
收藏
页码:2053 / 2062
页数:10
相关论文
共 22 条
[1]  
Allgower E.L., 1990, SPRINGER SERIES COMP, V13, DOI [10.1007/978-3-642-61257-2, DOI 10.1007/978-3-642-61257-2]
[2]  
BARNES M, 1994, STRUCT ENG REV, V6, P175
[3]  
Bendsoe MP., 1995, OPTIMIZATION STRUCTU, DOI DOI 10.1007/978-3-662-03115-5
[4]   Towards generalized shape and topology optimization [J].
Bletzinger, KU ;
Maute, K .
ENGINEERING OPTIMIZATION, 1997, 29 (1-4) :201-216
[5]  
BLETZINGER KU, 1998, MITT 3 98 I BAUST U
[6]  
BLETZINGER KU, 1996, P INT IASS S CONC DE, P169
[7]  
Haug E, 1972, P IASS PAC S TOK KYO, P165
[8]  
Hildebrandt S., 1985, MATH OPTIMAL FORM
[9]  
ISLER H, 1994, STRUCT ENG INT, V3, P142
[10]   CALCULATION OF PRESTRESSED CABLE NET ROOFS [J].
LINKWITZ, K .
INGENIEUR ARCHIV, 1971, 40 (03) :145-&