Topological optimum design with evolutionary algorithms

Journal of Convex Analysis

Volumn 9, Issue 2 SPEC., 2002, Pages 503-517

  Hamda, Hatem ^a   Schoenauer, Marc ^a  

^a CENTRE DE MATHÉMATIQUES APPLIQUÉES   (France)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0037005090     PISSN: 09446532     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Conference Paper

References (50)

1. G. Allaire, Z. Belhachmi, F. Jouve: The homogenization method for topology and shape optimization. Single and multiple loads case, European Journal of Finite Elements 15(5-6) (1996) 649-672.
2. G. Allaire, E. Bonnetier, G. Francfort, F. Jouve: Shape optimization by the homogenization method, Numerische Mathematik 76 (1997) 27-68.
3. G. Allaire, R. V. Kohn: Optimal design for minimum weight and compliance in plane stress using extremal microstructures, European Journal of Mechanics, A/Solids 12(6) (1993) 839-878.
4. G. Anagnostou, E. Ronquist, A. Patera: A computational procedure for part design, Computer Methods in Applied Mechanics and Engineering 97 (1992) 33-48.
5. T. Bäck: Evolutionary Algorithms in Theory and Practice, Oxford University Press, New York (1995).
6. M. Bendsoe, N. Kikuchi: Generating Optimal Topologies in Structural Design Using a Homogenization Method, Computer Methods in Applied Mechanics and Engineering 71 (1988) 197-224.
7. th Conference on Parallel Problems Solving from Nature, M. Schoenauer et al. (eds.), Springer-Verlag, LNCS (2000) 529-539
8. O. Bohnenberger, J. Hesser, R. Männer: Automatic design of truss structures using evolutionary algorithms, in: Proceedings of the Second IEEE International Conference on Evolutionary Computation 1, D. B. Fogel (ed.), IEEE Press (1995) 143-149.
9. J. Cea: Problems of shape optimum design, in: Optimization of Distributed Parameter Structures - Vol. II, E. J. Haug, J. Cea (eds.), NATO Series, Series E 50 (1981) 1005-1088.
10. R. Cerf: An asymptotic theory of genetic algorithms, in: Artificial Evolution, J.-M. Alliot, E. Lutton, E. Ronald, M. Schoenauer, D. Snyers (eds.), Springer-Verlag, LNCS 1063 (1996) 37-53.
11. C. D. Chapman, K. Saitou, M. J. Jakiela: Genetic algorithms as an approach to configuration and topology design, Journal of Mechanical Design 116 (1994) 1005-1012.
12. P. G. Ciarlet: Mathematical Elasticity, Vol I: Three-Dimensional Elasticity, North-Holland, Amsterdam (1978).
13. D. Dasgupta, Z. Michalewicz (eds.): Evolutionary Computation in Engineering, Springer-Verlag (1997).
14. th Annual Conference on Evolutionary Programming, J. R. McDonnell, R. G. Reynolds, D. B. Fogel (eds.), MIT Press, March (1995) 657-672.
15. A. E. Eiben, Z. Ruttkay: Self-adaptivity for constraint satisfaction: learning penalty functions, in: Proceedings of the Third IEEE International Conference on Evolutionary Computation, T. Fukuda (ed.), IEEE Service Center (1996) 258-261.
16. D. B. Fogel: Evolutionary Computation. Toward a New Philosophy of Machine Intelligence, IEEE Press, Piscataway, NJ (1995).
17. C. M. Fonseca, P. J. Fleming: An overview of evolutionary algorithms in multiobjective optimization, Evolutionary Computation 3(1) (1995) 1-16.
18. S. Garreau, Ph. Guillaume, M. Masmoudi: The topological sensitivity for linear isotropic elasticity, in: Proceedings of European Conference on Computational Mechanics (1999).
19. D. Grierson, W. Pak: Discrete optimal design using a genetic algorithm, in: Topology Design of Structures, M. Bendsoe, C. Soares (eds.), NATO Series (1993) 117-133.
20. A. B. Hadj-Alouaue, J. C. Bean: A Genetic Algorithm for the Multiple-Choice Integer Program, Department of Industrial and Operations Engineering, The University of Michigan, TR 92-50 (1992).
21. H. Hamda, M. Schoenauer: Adaptive techniques for evolutionary topological optimum design, in: Evolutionary Design and Manufacture, I. Parmee (ed.) (2000) 123-136.
22. R. Hinterding, Z. Michalewicz, A. E. Eiben: Adaptation in evolutionary computation: a survey, in: Proceedings of the Fourth IEEE International Conference on Evolutionary Computation, T. Bäck, Z. Michalewicz, X. Yao (eds.), IEEE Press (1997) 65-69.
23. E. Jensen: Topological Structural Design using Genetic Algorithms, Purdue University, November (1992).
24. J. A. Joines, C. R. Houck: On the use of non-stationary penalty functions to solve non-linear constrained optimization problems with GAs, in: Proceedings of the First IEEE International Conference on Evolutionary Computation, Z. Michalewicz, J. D. Schaffer, H.-P. Schwefel, D. B. Fogel, H. Kitano (eds.), IEEE Press (1994) 579-584.
25. F. Jouve: Modélisation mathématique de l'œil en élasticité non-linéaire, RMA 26, Masson Paris (1993).
26. th International Conference on Genetic Algorithms, Th. Bäck (ed.), Morgan Kaufmann (1997) 268-275.
27. C. Kane: Algorithmes génétiques et optimisation topologique, Université de Paris VI, July (1996)
28. C. Kane, M. Schoenauer: Genetic operators for two-dimensional shape optimization, in: Artificial Evolution, J.-M. Alliot, E. Lutton, E. Ronald, M. Schoenauer, D. Snyers (eds.), Springer-Verlag, LNCS 1063 (1995) 355-369.
29. C. Kane, M. Schoenauer: Topological Optimum Design using Genetic Algorithms, Control and Cybernetics 25(5) (1996) 1059-1088.
30. C. Kane, M. Schoenauer: Optimisation topologique de formes par algorithmes génétiques, Revue Française de Mécanique 4 (1997) 237-246.
31. R. G. Leriche, R. T. Haftka: Optimization of laminate stacking sequence for buckling load maximization by genetic algorithms, AIAA Journal 31 (1993) 951-970.
32. th International Conference on Genetic Algorithms, L. J. Eshelman (ed.), (1995) 558-565.
33. C. Lin, P. Hajela: Genetic search strategies in large scale optimization, in: Structures, Structural Dynamics, and Materials Conference, AIAA paper #93-1585, La Jolla, CA, April (1993).
34. S. Martin, J. Rivory, M. Schoenauer: Synthesis of optical multi-layer systems using genetic algorithms, Applied Optics 34 (1995) 2267.
35. th Annual Conference on Evolutionary Programming, J. R. McDonnell, R. G. Reynolds, D. B. Fogel (1995).
36. th International Conference on Genetic Algorithms, R. K. Belew, L. B. Booker (eds.), Morgan Kaufmann (1991) 151-157.
37. Z. Michalewicz, M. Schoenauer: Evolutionary algorithms for constrained parameter optimization problems, Evolutionary Computation 4 (1996) 1-32.
38. S. Oussedik, D. Delahaye, M. Schoenauer: Flight alternative routes generation by genetic algorithms, in: Proceedings of the 2000 Congress on Evolutionary Computation, IEEE (2000) 896-991.
39. F. P. Preparata, M. I. Shamos: Computational Geometry: An Introduction, Springer-Verlag (1985).
40. I. Rechenberg: Evolutionstrategie: Optimierung technischer Systeme nach Prinzipien der biologischen Evolution, Fromman-Hozlboog Verlag, Stuttgart (1973).
41. M. Schoenauer, F. Jouve, L. Kallel: Identification of mechanical inclusions, in: Evolutionary Computation in Engineering, D. Dasgupta, Z. Michalewicz (eds.), Springer-Verlag (1997) 477-494
42. M. Schoenauer, L. Kallel, F. Jouve: Mechanical inclusions identification by evolutionary computation, European Journal of Finite Elements 5(5-6) (1996) 619-648.
43. th Conference on Parallel Problems Solving from Nature, H.-M. Voigt, W. Ebeling, I. Rechenberg, H.-P. Schwefel (eds.), Springer-Verlag, LNCS 1141 (1996) 245-254.
44. th International Conference on Genetic Algorithms, Th. Bäck (ed.), Morgan Kaufmann (1997) 322-329.
45. M. Schoenauer, Z. Michalewicz: Evolutionary computation, Control and Cybernetics 26(3) (1997) 307-338.
46. M. Schoenauer, Z. Wu: Discrete optimal design of structures by genetic algorithms, in: Conference Nationale sur le Calcul de Structures, Bernadou et al. (eds.) Hermes (1993) 833-842.
47. M. Schoenauer: Representations for evolutionary optimization and identification in structural mechanics, in: Genetic Algorithms in Engineering and Computer Sciences, J. Périaux, G. Winter (eds.), John Wiley (1995) 443-464.
48. nd edition (1995).
49. th International Conference on Genetic Algorithms, S. Forrest (ed.), Morgan Kaufmann (1993) 499-503.
50. th International Conference on Genetic Algorithms, S. Forrest (ed.), Morgan Kaufmann (1993) 38-55.