A new dynamic substructuring method for nonlinear and dissipative systems
Résumé
This work is devoted to the development of a new dynamic substructuring method inspired by classic fixed-interface component mode synthesis, in order to compute the steady-state vibrations of dissipative, nonlinear structures. For each substructure, the displacement field is sought as a multiharmonic oscillation made of standard static mode shapes, supplemented by the eigenvectors of the nonlinear complex modes of the substructure computed with fixed-boundary conditions. The method eventually leads to a strongly reduced nonlinear algebraic system, easily solved by iterative solvers. The procedure is tested on a lumped parameter model of bladed disk subjected to dry friction nonlinearities, with or without structural mis-tuning, and proves very efficient in terms of computational cost. These results emphasize the promising capabilities of this new reduced-order modeling technique to tackle such nonlinear systems exhibiting high modal density.
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