Targeted energy transfer between a system with a set of Saint-Venant elements and a nonlinear energy sink

Claude-Henri Lamarque (1, 2) , Alireza Ture Savadkoohi (1, 2)

1 LGCB - Laboratoire Génie Civil et Bâtiment
2 LTDS - Laboratoire de Tribologie et Dynamique des Systèmes

Targeted energy transfer between a main oscillator with a set of parallel Saint-Venant elements and a nonlinear energy sink with a general nonlinear and odd potential function around 1:1 resonance is studied. The complexified system has been investigated at fast and slow time scales by detecting its invariant manifold, equilibrium and singular points, which can explain bifurcation(s) and different regimes of the system. Then, we introduce an example which treats vibratory energy exchanges between a main oscillator with two parallel Saint-Venant elements and a coupled cubic nonlinear energy sink. Finally, analytical predictions are compared with results obtained by numerical integrations of system equations.

Mots clés: Saint-Venant; Set; Parallel; NES; Multi-scale; Energy exchange; Passive control

Domaines: Sciences de l'ingénieur [physics]

Claude-Henri Lamarque, Alireza Ture Savadkoohi. Targeted energy transfer between a system with a set of Saint-Venant elements and a nonlinear energy sink. Continuum Mechanics and Thermodynamics, 2015, 27 (4-5), pp.819-833. ⟨10.1007/s00161-014-0354-9⟩. ⟨hal-00979114⟩