Modal energy transfer from geometrical nonlinearities in a tree-like structure

Benoît Theckes (1) , Emmanuel de Langre (1) , Xavier Boutillon (2)

1 LadHyX - Laboratoire d'hydrodynamique
2 LMS - Laboratoire de mécanique des solides

A modal energy transfer mechanism caused by geometrical nonlinearities is identified and characterized in a cantilever Y-shaped structure. Dynamical analysis of a simple two-degree-of-freedom model allow to assess the parameters regulating this mechanism. A numerical simulation of the dynamics of a finite-element model exhibits the same mechanism.

Domaines: Mécanique des structures [physics.class-ph]; Mécanique des structures [physics.class-ph]; Biomécanique [physics.med-ph]; Biomécanique [physics.med-ph]

Benoît Theckes, Emmanuel de Langre, Xavier Boutillon. Modal energy transfer from geometrical nonlinearities in a tree-like structure. 7th European Nonlinear Dynamics Conference, Jul 2011, Italy. 2 p. ⟨hal-00644192⟩