Une méthodologie de conception robuste en dynamique des structures
Keywords:
robust condensation, uncertainties, multiobjective optimisation, robustnessAbstract
The tools of modelling and multicriterion optimization the most employed in the structural dynamics rests on the finite element methods and the genetic algorithms. Although the progress in the data-processing field make it possible to treat models comprising several million degrees of freedom, the costs of calculations especially remain a significant obstacle within the framework of the optimization of complex structures in the presence of uncertainties (geometrical, material) on the parameters of design. It then becomes necessary to reduce the size of the models by using a robust base of Ritz. In this article, we propose a new method which makes it possible to reduce the size of the finite elements models by using a condensation approach. This approach which exploits a robust Ritz base with respect to uncertainties and structural modifications is coupled with a genetic algorithm in a stochastic of multiobjectif optimization procedure.
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References
Ait Brik B., Bouhaddi N., Cogan S., « Neural Networks and Evolutionary Algorithms For
Solving Multi Objective Optimisation Problems », Proceeding of The Fourth Int. Conf.
on the Comput. Structures Eng., Civil-Comp Press, Stirling, Scotland., 7-9 Sept. 2004.
Balling R. J., Free J. C., « A.R Parkinson, Consideration of worst-case manufacturing
tolerances in design optimization », ASME, 1986.
Balmès E., Modèles expérimentaux complets et modèles analytiques réduits en dynamique
des structures, Mémoire de HDR, Université P&M Curie, Paris VI, 1997.
Bennett J. A., Lust R. V., « Conservative methods for structural optimization », AIAA Journal
Bouazzouni A., Lallement G., Cogan S., « Selecting a Ritz basis for reanalysis of frequency
response functions of modified structures », Journal of sound and Vibration, vol. 199,
n° 2, 1997, p. 309-322.
Craig RR. Jr., « A review of time-domain and frequency domain component mode synthesis
method », Int J Anal Exp Modal Anal, 2, 1968, p. 59-72.
Ghanem R. G., Spanos P. D., Stochastic finite elements- A spectral approach, Springer
Verlag, 1991
