Design space optimization using design space adjustment and refinement

Structural and Multidisciplinary Optimization

Volumn 35, Issue 1, 2008, Pages 41-54

  Jang, In Gwun ^a   Kwak, Byung Man ^a  

^a Korea Advanced Institute of Science and Technology (KAIST)   (South Korea)

Author keywords

Design space adjustment; Design space optimization; Design space refinement; Large scale optimization; Topology optimization

Indexed keywords

ALGORITHMS; NUMERICAL METHODS; PROBLEM SOLVING; TOPOLOGY;

DESIGN SPACE ADJUSTMENTS; DESIGN SPACE OPTIMIZATION; DESIGN SPACE REFINEMENTS; LARGE SCALE OPTIMIZATION; TARGET RESOLUTIONS;

SHAPE OPTIMIZATION;

EID: 36448955359     PISSN: 1615147X     EISSN: 16151488     Source Type: Journal    
DOI: 10.1007/s00158-007-0112-8     Document Type: Article

References (29)

1. Allaire G, Jouve F, Toader AM (2004) Structural optimization using sensitivity analysis and a level set method. J Comput Phys 194:363-393
2. Bendsoe MP (1989) Optimal shape design as a material distribution problem. Struct Optim 1:193-303
3. Bendsoe MP, Kikuchi N (1988) Generating optimal topologies in structural design using a homogenization method. Comput Methods Appl Mech Eng 71:197-224
4. Bendsoe MP, Sigmund O (1999) Material interpolation schemes in topology optimization. Arch Appl Mech 69:635-654
5. Borrvall T, Petersson J (2001) Large-scale topology optimization in 3D using parallel computing. Comput Methods Appl Mech Eng 190:6201-6229
6. Costa JCA Jr, Alves MK (2003) Layout optimization with h-adaptivity of structures. Int J Numer Methods Eng 58:83-102
7. Diaz AR, Kikuchi N (1992) Solutions to shape and topology eigenvalue optimization problems using a homogenization method. Int J Numer Methods Eng 35:1487-1502
8. Hassani B, Hinton E (1998a) A review of homogenization and topology optimization I-homogenization theory for media with periodic structure. Comput Struct 69:707-717
9. Hassani B, Hinton E (1998b) A review of homogenization and topology optimization II-analytical and numerical solution of homogenization equations. Comput Struct 69:719-738
10. Hassani B, Hinton E (1998c) A review of homogenization and topology optimization III-topology optimization using optimality criteria. Comput Struct 69:739-756
11. Haug EJ, Choi KK, Komkov V (1986) Design sensitivity analysis of structural systems. Academic, New York, pp 104-108
12. Hughes TJR (1987) The finite element method: linear static and dynamic finite element analysis. Prentice-Hall, Englewood Cliffs, NJ, pp 185-192
13. Jang IG, Kwak BM (2006) Evolutionary topology optimization using design space adjustment based on fixed grid. Int J Numer Methods Eng 66(11):1817-1840
14. Kim IY, Kwak BM (2002) Design space optimization using a numerical design continuation method. Int J Numer Methods Eng 53:1979-2002
15. Kim H, Garcia MJ, Querin OM, Steven GP, Xie YM (2000) Introduction of fixed grid in evolutionary structural optimization. Eng Comput 17:427-439
16. Kim TS, Kim JE, Kim YY (2004) Parallelized structural topology optimization for eigenvalue problems. Int J Solids Struct 41:2623-2641
17. Krog L, Tucker A, Kemp M, Boyd R (2004) Topology optimization of aircraft wing box ribs. In: Proceedings of the 10th AIAA/ISSMO MAO conference. AIAA, Albany
18. Maute K, Ramm E (1995) Adaptive topology optimization. Struct Optim 10:100-112
19. Osher S, Sethian JA (1988) Front propagating with curvature dependent speed: algorithms based on Hamilton-Jacobi formulations. J Comput Phys 78:12-49
20. Querin OM, Steven GP (1998) Evolutionary structural optimization (ESO) using a bidirectional algorithm. Eng Comput 15:1031-1048
21. Sethian J, Wiegmann A (2000) Structural boundary design via level-set and immersed interface methods. J Comput Phys 163:489-528
22. Sigmund O, Petersson J (1998) Numerical instabilities in topology optimization: a survey on procedures dealing with checkerboards, mesh-independencies and local minima. Struct Optim 16:68-75
23. Stolpe M, Svanberg K (2001) An alternative interpolation scheme for minimum compliance topology optimization. Struct Multidiscipl Optim 22:116-124
24. Suzuki K, Kikuchi N (1991) A homogenization method for shape and topology optimization. Comput Methods Appl Mech Eng 93:291-318
25. Wang MY, Wang X, Guo D (2003) A level set method for structural topology optimization. Comput Methods Appl Mech Eng 192:227-246
26. Wang L, Basu PK, Leiva JP (2004) Automobile body reinforcement by finite element optimization. Finite Elem Anal Des 40:879-893
27. Xie YM, Steven GP (1993) A simple evolutionary procedure for structural optimization. Comput Struct 49:885-896
28. Yang RJ, Chuang CH (1994) Optimal topology design using linear programming. Comput Struct 52:265-275
29. Zhou M, Rozvany GIN (1991) The COC algorithm, Part II: topology geometrical and generalized shape optimization. Comput Methods Appl Mech Eng 89:309-336