Non-smooth nonlinearities as restoring forces in a mass-in-mass cell
Résumé
The energy exchanges between particles of a mass-in-mass cell with nonlinear restoring forcing function are studied. Two types of non-smooth compound nonlinearities are considered as restoring forcing function acting on the inner mass. The governing equations of the system are treated analytically with the time multiple scale method in order to find the slow invariant manifold (SIM) as well as singular and equilibrium points of the system. Finally, quasi-analytical system responses are confronted with numerical ones obtained by direct time integration. Interestingly, the SIM of the system possesses several unstable zones and the frequency response curves exhibit isolated solutions.
Domaines
Vibrations [physics.class-ph]
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ENOC2022_da_Silveira_Zanin_Non-smooth NL in mass-in-mass cell.pdf (467.94 Ko)
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