MULTI-SCALE DYNAMICS OF TWO COUPLED NONSMOOTH SYSTEMS

Claude-Henri Lamarque (1, 2) , Alireza Ture Savadkoohi (1, 2) , Emilie Etcheverria (3) , Zoran Dimitrijevic (4)

1 LGCB - Laboratoire Génie Civil et Bâtiment
2 LTDS - Laboratoire de Tribologie et Dynamique des Systèmes
3 \"Dynamique, Auscultation, Contrôle\" (DAC) & \"Dynamique, Fiabilité, Durabilité\" (DFD)
4 DRIA/DSTF/MSMX

Dynamical behavior of a nonsmooth master system which is coupled to a nonsmooth Nonlinear Energy Sink (NES) during free and forced oscillations is studied analytically and numerically. Invariant manifolds of the system and their stable zones at different time scales are revealed and finally application of coupled nonsmooth NES to the passive control process of the main nonsmooth system is highlighted

Mots clés: application for passive control.; Nonsmooth system; nonsmooth NES; averaging; multiple scales; invariant manifold; stability; bifurcation; application for passive control

Domaines: Mécanique [physics.med-ph]; Génie civil

Claude-Henri Lamarque, Alireza Ture Savadkoohi, Emilie Etcheverria, Zoran Dimitrijevic. MULTI-SCALE DYNAMICS OF TWO COUPLED NONSMOOTH SYSTEMS. International journal of bifurcation and chaos in applied sciences and engineering , 2012, 22 (12), 1250295 (18 p.). ⟨10.1142/S0218127412502951⟩. ⟨hal-00803598⟩