Energy pumping for mechanical systems involving non-smooth Saint-Venant terms

Franziska Schmidt (1) , Claude-Henri Lamarque (1)

1 DGCB - Département génie civil et batiment (ENTPE)

This paper deals with energy transfer from initial one degree of freedom system including non-smooth terms of friction (Saint-Venant) type to an auxiliary mass via an adapted non-linear coupling. We describe design of auxiliary degree of freedom and non-linear smooth coupling to the initial one degree of freedom system. First the auxiliary system is designed as if the initial one degree of freedom system was simply elastic. Then we study numerically the transfer for the non-smooth system in the cases of free transient oscillations or forced oscillations under periodic external forcing. Efficiency of energy pumping is discussed.

Mots clés: Non-linear modes; Energy transfer; Localization; Non-smooth system; Friction; Non-linear dynamics

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

Franziska Schmidt, Claude-Henri Lamarque. Energy pumping for mechanical systems involving non-smooth Saint-Venant terms. International Journal of Non-Linear Mechanics, 2010, 45 (9), pp.866-875. ⟨10.1016/j.ijnonlinmec.2009.11.018⟩. ⟨hal-00815192⟩