Dynamical behavior of a mechanical system including saint-venant component coupled to a nonlinear energy sink

Mathieu Weiss (1) , Alireza Ture Savadkoohi (1, 2) , Oleg V. Gendelman (3) , Claude-Henri Lamarque (1, 2)

1 LGCB - Laboratoire Génie Civil et Bâtiment
2 LTDS - Laboratoire de Tribologie et Dynamique des Systèmes
3 Department of Mechanical Engineering [Haifa]

Multi-scale vibratory energy exchange between a main oscillator including Saint-Venant term and a cubic non-linear energy sink is studied. Analytically obtained invariant manifold of the system at a fast time scale and detected fixed points and/or fold singularities at a first slow time scale let us predict and explain different regimes that the system may face during the energy exchange process. The paper will be accompanied by some numerical results confirming our analytical predictions.

Mots clés: Energy exchange; Saint-Venant; Cubic; NES; Non-linear

Domaines: Sciences de l'ingénieur [physics]

Mathieu Weiss, Alireza Ture Savadkoohi, Oleg V. Gendelman, Claude-Henri Lamarque. Dynamical behavior of a mechanical system including saint-venant component coupled to a nonlinear energy sink. International Journal of Non-Linear Mechanics, 2014, 63, pp.10-18. ⟨10.1016/j.ijnonlinmec.2014.03.002⟩. ⟨hal-00967849⟩