Partial relaxation of the orthogonality requirement for classical Michell trusses

被引:80
作者
Rozvany, GIN
机构
[1] FB 10, Essen University, D-45117 Essen
来源
STRUCTURAL OPTIMIZATION | 1997年 / 13卷 / 04期
关键词
VARIATIONAL-PROBLEMS; OPTIMAL-DESIGN; CONSTRAINTS;
D O I
10.1007/BF01197457
中图分类号
TP39 [计算机的应用];
学科分类号
080201 [机械制造及其自动化];
摘要
It is often stated, even in standard references, that in classical Michell trusses (i.e. least-weight trusses for one load condition with a stress or compliance constraint) a pair of intersecting compression and tensile bars must always be orthogonal. The aim of this brief note is to show that there are important exceptions to this rule and that the modification of this restriction enables us to obtain new classes of solutions.
引用
收藏
页码:271 / 274
页数:4
相关论文
共 16 条
[1]
Hemp W.S., 1973, Optimum Structures
[2]
Exact analytical solutions for non-selfadjoint variable-topology shape optimization problems: Perforated cantilever plates in plane stress subject to displacement constraints .1. [J].
Karolyi, G ;
Rozvany, GIN .
STRUCTURAL OPTIMIZATION, 1997, 13 (2-3) :119-127
[3]
OPTIMAL-DESIGN AND RELAXATION OF VARIATIONAL-PROBLEMS .1. [J].
KOHN, RV ;
STRANG, G .
COMMUNICATIONS ON PURE AND APPLIED MATHEMATICS, 1986, 39 (01) :113-137
[4]
OPTIMAL-DESIGN AND RELAXATION OF VARIATIONAL-PROBLEMS .2. [J].
KOHN, RV ;
STRANG, G .
COMMUNICATIONS ON PURE AND APPLIED MATHEMATICS, 1986, 39 (02) :139-182
[5]
OPTIMAL-DESIGN AND RELAXATION OF VARIATIONAL-PROBLEMS .3. [J].
KOHN, RV ;
STRANG, G .
COMMUNICATIONS ON PURE AND APPLIED MATHEMATICS, 1986, 39 (03) :353-377
[6]
DIRECT RELAXATION OF OPTIMAL LAYOUT PROBLEMS FOR PLATES [J].
LURIE, KA .
JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS, 1994, 80 (01) :93-116
[7]
LURIE KA, 1982, J OPTIMIZ THEORY APP, V37, P499, DOI 10.1007/BF00934953
[8]
LURIE KA, 1992, J OPTIMIZ THEORY APP, V37, P523
[9]
Lurie KA, 1995, P 1 WORLD C STRUCT M, P169
[10]
LURIE KA, 1992, J OPTIMIZ THEORY APP, V42, P247