Multisymplectic geometry with symmetry. Application to the Reissner beam

Joël Bensoam (1) , Florie-Anne Baugé (1)

1 Equipe Acoustique instrumentale

Although acoustics is one of the disciplines of mechanics, its ”geometrization” is still limited to a few areas. The Reissner beam is one of the simplest acoustical system that can be treated in the context of mechanics with symmetry. It seems that the non-linear phenomena can be handled in their intrinsic qualities through the concepts of differential geometry. Using the symmetry of Lie groups, the geometric constructions needed for reduction are presented in the context of the ”covariant” approach.

Mots clés: NA; Informatique musicale

Domaines: Acoustique [physics.class-ph]; Vibrations [physics.class-ph]; Acoustique [physics.class-ph]; Vibrations [physics.class-ph]; Mécanique des solides [physics.class-ph]; Mécanique des structures [physics.class-ph]; Musique, musicologie et arts de la scène; Son [cs.SD]

Joël Bensoam, Florie-Anne Baugé. Multisymplectic geometry with symmetry. Application to the Reissner beam. Unfold Mechanics for Sound and Music UMSM, Sep 2014, Paris, France. pp.1-1. ⟨hal-01161035⟩