Sequential integer programming methods for stress constrained topology optimization

Structural and Multidisciplinary Optimization

Volumn 34, Issue 4, 2007, Pages 277-299

  Svanberg, Krister ^a   Werme, Mats ^a  

^a ROYAL INSTITUTE OF TECHNOLOGY   (Sweden)

Author keywords

Sequential integer programming; Stress constraints; Topology optimization

Indexed keywords

FINITE ELEMENT METHOD; ITERATIVE METHODS; LINEAR PROGRAMMING; NUMERICAL METHODS; SHAPE OPTIMIZATION; STRUCTURAL DESIGN;

DISCRETIZED DESIGN; SEQUENTIAL INTEGER PROGRAMMING; STRESS CONSTRAINED TOPOLOGY OPTIMIZATION; STRESS CONSTRAINTS;

INTEGER PROGRAMMING;

EID: 34548203501     PISSN: 1615147X     EISSN: 16151488     Source Type: Journal    
DOI: 10.1007/s00158-007-0118-2     Document Type: Article

References (24)

1. Allaire G (2002) Shape optimization by the homogenization method. Springer, New York
2. Allaire G, Jouve F, Maillot H (2004) Topology optimization for minimum stress design with the homogenization method. Struct Multidisc Optim 28:87-98
3. Bendsøe MP (1989) Optimal shape design as a material distribution problem. Struct Optim 1:193-202
4. Bendsøe MP, Sigmund O (1999) Material interpolation schemes in topology optimization. Arch Appl Mech 69:635-654
5. Bendsøe MP, Sigmund O (2003) Topology optimization: Theory, methods and applications. Springer, New York
6. Burger M, Stainko R (2006) Phase-field relaxation of topology optimization with local stress constraints. SIAM J Control Optim 45:1447-1466
7. Cheng GG, Jiang Z (1992) Study on topology optimization with stress constraints. Eng Optim 20:129-148
8. Cheng GD, Guo X (1997) ε-relaxed approach in structural topology optimization. Struct Optim 13:258-266
9. Cook RD, Malkus DS, Plesha ME, Witt RJ (2002) Concepts and Applications of Finite Element Analysis. Wiley
10. Duysinx P, Bendsøe MP (1998) Topology optimization of continuum structures with local stress constraints. Int J Numer Methods Eng 43:1453-1478
11. Fleury C (1989) CONLIN: An Efficient Dual Optimizer Based on Convex Approximation Concepts. Struct Optim 1:81-89
12. Forsgren A, Gill PE, Wright MH (2002) Interior methods for nonlinear optimization. SIAM Rev 44:525-597
13. Griffith RE, Stewart RA (1961) A nonlinear programming technique for the optimization of continuous processing system. Manage Sci 7:379-392
14. ILOG 2001 ILOG CPLEX 8.0 User's manual
15. Kirsch U (1990) On singular topologies in optimum structural design. Struct Optim 2:133-142
16. Nocedal J, Wright SJ (2006) Numerical optimization, 2nd edition. Springer, New York
17. Pereira JT, Fancello EA, Barcellos CS (2004) Topology optimization of continuum structures with material failure constraints. Struct Multidisc Optim 26:50-66
18. Rozvany GIN, Zhou M, Birker T (1992) Generalized shape optimization without homogenization. Struct Optim 4:250-252
19. Stolpe M, Stidsen T (2007) A hierarchical method for discrete structural topology design problems with local stress and displacement constraints. Int J Numer Methods Eng 69: 1060-1084
20. Stolpe M, Svanberg K (2003) Modelling topology optimization problems as linear mixed 0-1 programs. Int J Numer Methods Eng 57:723-739
21. Svanberg K (2002) A class of globally convergent optimization methods based on conservative convex separable approximations. SIAM Journal of Optimization 12:555-573
22. Svanberg K, Werme M (2006) Topology optimization by a neighbourhood search method based on efficient sensitivity calculations. Int J Numer Methods Eng 67:1670-1699
23. Svanberg K, Werme M (2005) A hierarchical neighbourhood search method for topology optimization. Struct Multidisc Optim 29:325-340
24. Sved G, Ginos Z (1968) Structural optimization under multiple loading. International Journal of Mechanical Sciences 10:803-805