Optimisation topologique de plaques par algorithme genetique
Keywords:
shape optimization, genetic algorithm, FEM, platesAbstract
This work deals with the development of optimum design tool. A finite element program is coupled with genetic algorithm to carry out the shape optimization of plates. The evaluation of performances is based on classical optimization problems. Quality of results and possible enhancement of the method are discussed.
Downloads
References
[BAN 81] BANICHUK N.Y., Problems and Methods of Optimal Structural Design -
Mathematical concepts and methods in science and engineering, Plenum Press Edition,
New-York & London, p. I 09-134, 1981.
[BAT 90] BATOZ J.L., DHATT G., Modetisation des structures par elements finis, Vol. 2,
Editions Hermes, Paris, 1990.
[DA V 91] DAVIS L., Handbook of genetic algorithm, Van Nostrand Reinhold Edition, NewYork,
[GIR 98] GIRAUD L., LAFON P., «Optimization of mechanical design problems with genetic
algorithms», Proceeding of the 2nd International Conference on Integrated Design and
Manufacturing in Mechanical Engineering (IDMME' 98), Compiegne, France, may
-29, 1998, Vol. 1, p. 83-90.
[GOL 94] GOLDBERG D.E., AG, exploration, optimisation et apprentissage automatique,
Addison-Wesley France, 1994.
[GUT 95] GUTKOWSKI W., ZAWIDZKA 1., «Shape optimization of 2D elastic structures using
adaptative grid >>, Engineering transactions, Vol. 43, issue 1-2, p. 137-150, Polish
Scientific Publishers, 1995.
[HAF 81] HAFTKA R.T., PRASAD B., « Optimum structural design with plates bending
elements - a survey >>, AIAA 1., Vol. 19, no 4, p. 517-522, 1981.
[HAJ 90] HAJELA P., <>,
AIAA 1., Vol. 26, p. 1205-1210, 1990.
[HAU 82] HAUG E.J., << A numerical method for optimization of distributed parameter
structures with displacement constraints >>, Opt. Control Applic. & Methds, Vol. 3, 1982.
[HOL 75] HOLLAND J.H., Adaptation in natural and artificial systems, University of
Michigan Press, 1975 (and MIT Press, Cambridge, 1992).
[JEN 91] JENKINS W.M., «Towards structural optimization via genetic algorithm», Computer
Structures, Vol. 40, no 5, p. 1321-1327, 1991.
[KOG 94) KOGISO N., WATSON L.T., GURDAL Z., HAFTKA R.T., <
local improvement for composite laminate design », Structural Optimization, Vol. 7,
p. 207-218, 1994.
[MAR 95a] MARCELIN J.L., TROMPETTE P., << Optimization of composite beam structures
using a genetic algorithm>>, Structural Optimization, Vol. 9, p. 236-244, 1995.
[MAR 95b] MARCELIN J.L., << Optimisation des conditions aux frontieres par algorithmes
genetiques >>,Revue Europeenne des Elements Finis, Vol. 4, no 3, p. 361-373, Editions
Hermes, Paris, 1995.
[MIC 95] MICHALEWICZ Z., Genetic algorithms + data structures = evolution programs,
third, revised and extended edition, Springer Verlag Edition, Berlin, Heidelberg, 1995.
[RAJ 92) RAJEEV S., KRISHNAMOORTHY C.S., << Discrete optimization of structures using
genetic algorithms>>, J. Strucural. Engineering, Vol. 118, no 5, p. 1233-1250, 1992.
[SCH 96) SCHOENAUER M., KALLEL L., JOUVE F., << Mechanical inclusions identification by
evolutionary computation >>, Revue Europeenne des Elements Finis, Vol. 5, no 5-6,
p. 619-648, Editions Hermes, Paris, 1996.
[SEB 96) SEBAG M., SCHOENAUER M., << ContrOie d'un algorithme genetique >>, Revue
d'lntelligence Artificielle, Vol. 10, no 2-3, p. 389-428, Editions Hermes, Paris, 1996.
[TOS 95) TOSHIHIKO 0., ATSUSHI Y., KANEHIRO N., ZENICHIRO M., «Optimum design of
weaving structure of 3-D woven fabric composites by using genetic algorithms >>,
Composite Structures, Vol. 32, p. 417-426, 1995.
[VAN 95) VAN KEULEN F., POLYNKINE A., TOROPOV V.; << Shape optimization strategies
using the multi-point approximation method and adaptive mesh refinement>>, Olhoff N. &
Rozvany G.I.N. (eds), Proceeding of the I'' World Congress of Structural and
Multidisciplinary Optimization, 1995, Elsevier Edition, p. 67-74.
[Y AN 97] YANG J., KIONG SoH C., << Structural optimization by genetic algorithm with
tournament selection >>, J. of Computing in Civil Engineering, p. 195-200, july 1997.
[ZIE 91) ZIENKIEWICZ O.C., TAYLOR R.L., The finite element method (fourth edition), Vol. 2,
p. 3-23, Me Graw-Hill Edition, London, 1991.
