Practical plastic layout optimization of trusses incorporating stability considerations

被引:30
作者
Tyas, A [1 ]
Gilbert, M [1 ]
Pritchard, T [1 ]
机构
[1] Univ Sheffield, Dept Civil & Struct Engn, Sheffield S1 3JD, S Yorkshire, England
基金
英国工程与自然科学研究理事会;
关键词
structural optimization; truss; buckling; stability; plastic; linear prcgramming;
D O I
10.1016/j.compstruc.2005.09.032
中图分类号
TP39 [计算机的应用];
学科分类号
081203 ; 0835 ;
摘要
Frequently the topologies generated using conventional discrete structural layout optimization methods may be shown to be in unstable equilibrium with the specified applied loading. Previously proposed methods to overcome this problem have tended to suffer from either a lack of rigour in identifying unstable solutions, a failure to properly consider all means of ensuring the stability of a framework, or are likely to be very computationally expensive. This paper discusses the drawbacks of current methods and introduces a conceptually simple approach that incorporates nominal lateral force load cases in a plastic linear programming problem formulation. Examples of stable solutions identified by this approach are discussed along with future developments to increase the practicality and efficiency of the method. (c) 2005 Elsevier Ltd. All rights reserved.
引用
收藏
页码:115 / 126
页数:12
相关论文
共 12 条
[1]  
Achtziger W, 1999, STRUCT OPTIMIZATION, V17, P247
[2]   Robust truss topology design via semidefinite programming [J].
Ben-Tal, A ;
Nemirovski, A .
SIAM JOURNAL ON OPTIMIZATION, 1997, 7 (04) :991-1016
[3]   Layout optimization of large-scale pin-jointed frames [J].
Gilbert, M ;
Tyas, A .
ENGINEERING COMPUTATIONS, 2003, 20 (7-8) :1044-1064
[4]   On the modelling and solving of the truss design problem with global stability constraints [J].
Kocvara, M .
STRUCTURAL AND MULTIDISCIPLINARY OPTIMIZATION, 2002, 23 (03) :189-203
[5]  
Reinschmidt K. F., 1974, Computers and Structures, V4, P855, DOI 10.1016/0045-7949(74)90049-2
[6]  
Rozvany G.I.N., 1995, ASME APPL MECH REV, V48, P41, DOI DOI 10.1115/1.3005097
[7]   Difficulties in truss topology optimization with stress, local buckling and system stability constraints [J].
Rozvany, GIN .
STRUCTURAL OPTIMIZATION, 1996, 11 (3-4) :213-217
[8]   INTERACTIVE OPTIMAL-DESIGN OF TRUSS STRUCTURES [J].
SOMEKH, E ;
KIRSCH, U .
COMPUTER-AIDED DESIGN, 1981, 13 (05) :253-259
[9]  
TYAS A, 2002, CET02OPT2 U SHEFF
[10]  
Winter G., 1958, P ASCE, V84, P1561