Determination of non-linear normal modes for conservative systems

Cyril Touzé (1) , Olivier Thomas (2)

1 UME - Unité de Mécanique
2 LMSSC - Laboratoire de Mécanique des Structures et des Systèmes Couplés

The definition of a non-linear normal mode (NNM) is considered through normal form theory. It is shown that a nonlinear change of variables allows one to span the phase space with the invariant manifolds, and thus to define coordinates linked with the NNMs. Invariance property as well as the validity of the asymptotic development used for generating the normal form are illustrated on two examples.

Domaines: Vibrations [physics.class-ph]

Cyril Touzé, Olivier Thomas. Determination of non-linear normal modes for conservative systems. Ninth International Congress on SOund and Vibration (ICSV 9), 2002, Orlando, United States. ⟨hal-01154709⟩