On the low- and mid-frequency forced response of elastic structures using wave finite elements with one-dimensional propagation

Jean-Mathieu Mencik (1)

1 LMR - Laboratoire de Mécanique et de Rhéologie

In this paper, the wave finite element (WFE) method is investigated for computing the low- and mid-frequency forced response of straight elastic structures. The method uses wave modes as representation basis. These are numerically calculated using the finite element model of a typical substructure with a small number of degrees of freedom, and invoking Bloch's theorem. The resulting wave-based boundary value problem is presented and adapted so as to address Neumann-to-Dirichlet problems involving single as well as coupled structures. A regularization strategy is also presented. It improves the convergence of the WFE method when multi-layered systems are specifically dealt with. It employs an alternative form of the wave-based boundary value problem quite stable and easy to solve. The relevance of both classic and regularized WFE formalisms is discussed and numerically established compared with standard finite element solutions.

Mots clés: Wave propagation; Finite elements; Wave mode expansion; Multi-layered systems; Regularization

Domaines: Vibrations [physics.class-ph]; Vibrations [physics.class-ph]

Jean-Mathieu Mencik. On the low- and mid-frequency forced response of elastic structures using wave finite elements with one-dimensional propagation. Computers & Structures, 2010, 88, pp.674-689. ⟨10.1016/j.compstruc.2010.02.006⟩. ⟨hal-00755757⟩