Variable chromosome length genetic algorithm for progressive refinement in topology optimization

Structural and Multidisciplinary Optimization

Volumn 29, Issue 6, 2005, Pages 445-456

  Kim, I Y ^a,b   De Weck, O L ^a  

^a Massachusetts Institute of Technology   (United States)

^b QUEEN S UNIVERSITY   (Canada)

Author keywords

Consanguineous; Genetic algorithms; Multi stage search; Progressive refinement; Structural topology optimization; Variable chromosome length

Indexed keywords

CELLS; CHROMOSOMES; GENETIC ALGORITHMS; MOLECULAR DYNAMICS; MUTAGENESIS; PROBLEM SOLVING;

CONSANGUINEOUS; MULTISTAGE SEARCH; PROGRESSIVE REFINEMENT; STRUCTURAL TOPOLOGY; VARIABLE CHROMOSOME LENGTH;

GENETIC ENGINEERING;

EID: 21144436157     PISSN: 1615147X     EISSN: None     Source Type: Journal    
DOI: 10.1007/s00158-004-0498-5     Document Type: Article

References (36)

1. Bendsøe MP, Kikuchi N (1988) Generating optimal topologies in structural design using a homogenization method. Comput Methods Appl Mech Eng 71:197-224
2. Bendsøe MP (1995) Optimization of structural topology, shape, and material. Springer, Berlin Heidelberg New York
3. Cea J (1981) Numerical methods in shape optimal design. Optimization of distributed parameter structures. Sijthoff & Noordhof, Netherlands, pp. 1049-1087
4. Chapman CD, Saitou K, Jakiela MJ (1994) Genetic Algorithms as an approach to configuration and topology design. J Mech Des Trans ASME 116:1005-1012
5. Chapman CD, Jakiela MJ (1996) Genetic algorithm-based structural topology design with compliance and topology simplification considerations. J Mech Des Trans ASME 118:89-98
6. DeRose GCA, Diaz AR (2000) Solving three-dimensional layout optimization problems using fixed scale wavelets. Comput Mech 25:274-285
7. Diaz AR, Bendsøe MP (1992) Shape optimization of structures for multiple loading conditions using homogenization method. Struct Optim 4:17-22
8. Diaz AR (1999) A wavelet-Galerkin scheme for analysis of large-scale problems on simple domains. Int J Numer Methods Eng 44:1599-1616
9. Eschenauer HA, Olhoff N (2001) Topology optimization of continuum structures: a review. Appl Mech Rev 54:331-389
10. Goldberg D (1989) Genetic algorithms in search, optimization, and machine learning. Addison-Wesley, Reading, MA
11. Guan H. et al. (2003) Bridge topology optimization with stress, displacement and frequency constraints. Comput Struct 81:131-145
12. Haftka RT, Grandhi RV (1986) Structural shape optimization - a survey. Comput Methods Appl Mech Eng 57:91-106
13. Hajela P, Lee E (1995) Genetic algorithms in truss topological optimization. J Solids Struct 32:3341-3357
14. Haug EJ, Choi KK, Komkov V (1986) Design sensitivity analysis of structural systems. Academic, Amsterdam
15. Holland J (1975) Adaptation in natural and artificial systems. University of Michigan Press, Ann Arbor, Michigan
16. Jakiela MJ et al. (2000) Continuum structural topology design with genetic algorithms. Comput Methods Appl Mech Eng 186:339-356
17. Kim H, Querin OM, Steven GP (2002) On the development of structural optimisation and its relevance in engineering design. Des Stud 23:85-102
18. Kim IY, Kwak BM (2002) Design space optimization using a numerical design continuation method. Int J Numer Methods Eng 53:1979-2002
19. Kim JE, Jang GW, Kim YY (2003) Adaptive multiscale wavelet-Galerkin analysis for plane elasticity problems and its applications to multiscale topology design optimization. Int J Solids Struct 40:6473-6496
20. Kim YY, Yoon GH (2000) Multi-resolution multi-scale topology optimization -a new paradigm. Int J Solids Struct 37:5529-5559
21. Kirsch U (1989) Optimal topologies of structures. Appl Mech Rev 42:223-239
22. Krus P, Andersson J (2003) Optimizing optimization for design optimization. Proceedings of DETC'03, ASME 2003 Design Engineering Technical Conferences and Computers and Information in Engineering Conference, Chicago, Illinois, USA, September 2-6
23. Kwak BM (1994) A review on shape optimal design and sensitivity analysis. JSCE J Struct Eng/Earthquake Eng 10(4):159s-174s
24. Lin C-Y, Hajela P (1994) Design optimization with advanced genetic search strategies. J Adv Eng Softw 21:179-189
25. Lin C-Y, Hajela P (1993) Genetic search strategies in large scale optimization. Proceedings of the 34th AIAA/ ASME/ASCE/AHS/ASC SDM Conference, La Jolla, California, 2437-2447
26. Mackerle J (2003) Topology and shape optimization of structures using FEM and BEM - a bibliography (1999-2001). Finite Elem Anal Des 39:243-253
27. Maute K, Ramm E (1995) Adaptive topology optimization. Struct Optim 10:100-112
28. Michell AGM (1904) The limits of economy of material in frame-structures. Philos Mag 8:589-597
29. Milman MH, Briggs HC, Ledeboer W, Molody JW, Norton RL, Needels L (1995) Integrated modeling of optical systems user's manual, release 2.0. JPL D-13040
30. Min S, Nishiwaki S, Kikuchi N (2000) Unified topology design of static and vibrating structures using multiobjective optimization. Comput Struct 75:93-116
31. Rousselet B (1981) Implementation of some methods of shape design. Optimization of distributed parameter structures. Sijthoff & Noordhof, Netherlands
32. Rozvany GIN, Bendsøe MP, Kirsch U (1995) Layout optimization of structures. Appl Mech Rev 42:41-119
33. Ryoo J, Hajela P (2004) Handling variable string lengths in ga based structural topology optimization. Struct Multidisc Optim 26:318-325
34. Todoroki A, Haftka RT (1997) Stacking sequence matching by a two-stage genetic algorithm with consanguineous initial population. Proc. of the 1997 38th AIAA/ASME/ASCE/AHS/ASC Structures, Structural Dynamics and Materials Conf., Part 2 (of 4), Paper AIAA-97-1228, 1297-1302
35. Xie YM, Steven GP (1993) A simple evolutionary procedure for structural optimization. Comput Struct 49:885-896
36. Zolésio JP (1981) The material derivative (or speed) method for shape optimization. Optimization of distributed parameter structures. Sijthoff & Noordhof, Netherlands, pp. 1089-1151