×

A robust design in structural dynamics. (Une méthodologie de conception robuste en dynamique des structures.) (French) Zbl 1247.74058

Summary: The tools of modelling and multicriterion optimization, the most employed in the structural dynamics, rest upon finite element methods and genetic algorithms. Although the progress in the data-processing field makes 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 element 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 multiobjective optimization procedure.

MSC:

74S05 Finite element methods applied to problems in solid mechanics
74S25 Spectral and related methods applied to problems in solid mechanics
90C29 Multi-objective and goal programming
90C59 Approximation methods and heuristics in mathematical programming
PDFBibTeX XMLCite
Full Text: DOI