Reliability-based topology optimization of structures under stress constraints

被引:32
作者
dos Santos, Renatha Batista [1 ]
Torii, Andre Jacomel [2 ]
Novotny, Antonio Andre [1 ]
机构
[1] MCT, LNCC, Ave Getulio Vargas 333, BR-25651075 Petropolis, RJ, Brazil
[2] Univ Fed Paraiba UFPB, Dept Comp Cient, Joao Pessoa, Paraiba, Brazil
关键词
structural optimization; topological derivatives; topology design; uncertainties; CONTINUUM STRUCTURES; DESIGN OPTIMIZATION; FAILURE CONSTRAINTS; STRUCTURES SUBJECT;
D O I
10.1002/nme.5760
中图分类号
T [工业技术];
学科分类号
08 ;
摘要
In this paper, we propose an approach for reliability-based design optimization where a structure of minimum weight subject to reliability constraints on the effective stresses is sought. The reliability-based topology optimization problem is formulated by using the performance measure approach, and the sequential optimization and reliability assessment method is employed. This strategy allows for decoupling the reliability-based topology optimization problem into 2 steps, namely, deterministic topology optimization and reliability analysis. In particular, the deterministic structural optimization problem subject to stress constraints is addressed with an efficient methodology based on the topological derivative concept together with a level-set domain representation method. The resulting algorithm is applied to some benchmark problems, showing the effectiveness of the proposed approach.
引用
收藏
页码:660 / 674
页数:15
相关论文
共 33 条
[1]  
Allaire G, 2004, STRUCT MULTIDISCIP O, V28, P87, DOI [10.1007/s00158-004-0442-8, 10.1007/S00158-004-0442-8]
[2]  
Ammari H., 2007, Applied Mathematical Sciences
[3]   Topological derivative-based topology optimization of structures subject to Drucker-Prager stress constraints [J].
Amstutz, S. ;
Novotny, A. A. ;
de Souza Neto, E. A. .
COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING, 2012, 233 :123-136
[4]   A new algorithm for topology optimization using a level-set method [J].
Amstutz, Samuel ;
Andrae, Heiko .
JOURNAL OF COMPUTATIONAL PHYSICS, 2006, 216 (02) :573-588
[5]   A NOTION OF COMPLIANCE ROBUSTNESS IN TOPOLOGY OPTIMIZATION [J].
Amstutz, Samuel ;
Ciligot-Travain, Marc .
ESAIM-CONTROL OPTIMISATION AND CALCULUS OF VARIATIONS, 2016, 22 (01) :64-87
[6]   A PENALTY METHOD FOR TOPOLOGY OPTIMIZATION SUBJECT TO A POINTWISE STATE CONSTRAINT [J].
Amstutz, Samuel .
ESAIM-CONTROL OPTIMISATION AND CALCULUS OF VARIATIONS, 2010, 16 (03) :523-544
[7]   Topological optimization of structures subject to Von Mises stress constraints [J].
Amstutz, Samuel ;
Novotny, Antonio A. .
STRUCTURAL AND MULTIDISCIPLINARY OPTIMIZATION, 2010, 41 (03) :407-420
[8]  
[Anonymous], 2000, Reliability assessment using stochastic finite element analysis
[9]   Robust optimization - A comprehensive survey [J].
Beyer, Hans-Georg ;
Sendhoff, Bernhard .
COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING, 2007, 196 (33-34) :3190-3218
[10]   Stress-based topology optimization of continuum structures under uncertainties [J].
da Silva, G. A. ;
Cardoso, E. L. .
COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING, 2017, 313 :647-672