Dynamics of coupled Dahl type and non-smooth systems at different scales of time

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

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

Vibratory behavior of two coupled oscillators is studied. The main system-Dahl type- is coupled to a very light system with a non-smooth potential that can be endowed for passively controlling the main system. Invariant manifold of the system at the fast time scale is revealed and the system behavior at slow time scale around the infinity of the fast time scale is detected. This can give us the chance to forecast all possible attractors of the system during energy exchange between two oscillators.

Mots clés: Bouc-Wen; Dahl; non-smooth; energy pumping; control; bifurcation

Domaines: Sciences de l'ingénieur [physics]; Génie mécanique [physics.class-ph]; Mécanique des structures [physics.class-ph]; Génie mécanique [physics.class-ph]; Mécanique des structures [physics.class-ph]

Alireza Ture Savadkoohi, Claude-Henri Lamarque. Dynamics of coupled Dahl type and non-smooth systems at different scales of time. International journal of bifurcation and chaos in applied sciences and engineering , 2013, 23 (7), 1350114 (14 p.). ⟨10.1142/S0218127413501149⟩. ⟨hal-00838822⟩