Advanced tools for design and analysis for assemblies of structures with uncertainties
Résumé
The numerical obtention of stochastic responses of assemblies or of response surfaces needs to cary out a large number of costly computations. This paper propose efficients techniques for obtention of such informations. A decomposition of the assemblies into substructures and interfaces is defined and associated with a dedicated computational strategy which leads to a local/global algorithm enabling the treatments of the substructure and of the interface problems to be uncoupled: the LATIN method [8]. The first proposed approach is a point by point calculation of response surfaces: the calculation of the solution for a new set of parameters is accelerated by using the solution of a previous one as an initialization. This procedure can be easily set up in the LATIN method [3]. The applications concern complex assemblies of 3D structures with uncertain frictional contact zones. The second proposed technique is a dedicated approach to the calculation of the random response of assemblies with uncertain interface characteristics[1]. The random response is constructed using a Polynomial Chaos Expansion (PCE)[7]. Since the only uncertain parameters are those which appear in the interface equations, this approach results in a drastic reduction of the computational costs.
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