Redundant robust topology optimization of truss

被引:0
作者
Daniel P. Mohr
Ina Stein
Thomas Matzies
Christina A. Knapek
机构
[1] Max-Planck-Institut für Extraterrestrische Physik,Institute of Mathematics and Computer Applications, Dept. of Aerospace Engineering
[2] Universität der Bundeswehr München,Institute of Lightweight Structures, Department of Aerospace Engineering
[3] Universität der Bundeswehr München,undefined
来源
Optimization and Engineering | 2014年 / 15卷
关键词
Structural optimization; Robustness; Redundancy; Robust optimization; Uncertainty; Truss topology optimization; Sizing optimization; Ground structure; Coding theory; Redundant; Fail-safe;
D O I
暂无
中图分类号
学科分类号
摘要
A common problem in the optimization of structures is the handling of uncertainties in the parameters. If the parameters appear in the constraints, the uncertainties can lead to an infinite number of constraints. Usually the constraints have to be approximated by finite expressions to generate a computable problem. Here, using the example of topology optimization of a truss, a method is proposed to deal with such uncertainties by utilizing robust optimization techniques. This leads to an approach without the necessity of any approximation.
引用
收藏
页码:945 / 972
页数:27
相关论文
共 36 条
[1]  
Belzunce F(2011)On optimal allocation of redundant components for series and parallel systems of two dependent components J Stat Plan Inference 141 3094-3104
[2]  
Martínez-Puertas H(1997)Robust truss topology design via semidefinite programming SIAM J Optim 7 991-1016
[3]  
Ruiz JM(1998)Robust convex optimization Math Oper Res 23 769-805
[4]  
Ben-Tal A(1994)Optimization methods for truss geometry and topology design Struct Multidiscip Optim 7 141-159
[5]  
Nemirovski A(2007)Robust optimization—a comprehensive survey Comput Methods Appl Mech Eng 196 3190-3218
[6]  
Ben-Tal A(2008)Optimization under uncertainty with applications to design of truss structures Struct Multidiscip Optim 35 189-200
[7]  
Nemirovski A(2008)Valid inequalities for mixed integer linear programs Math Program 112 3-44
[8]  
Bendsøe MP(1965)A tree-search algorithm for mixed integer programming problems Comput J 8 250-255
[9]  
Ben-Tal A(2004)Robust design of structures using optimization methods Comput Methods Appl Mech Eng 193 2221-2237
[10]  
Zowe J(1964)Automatic design of optimal structures J Méc 3 25-52