Dynamics of a linear system with time-dependent mass and a coupled light mass with non-smooth potential
Résumé
Multi-scale dynamics of two coupled oscillators, the linear one with varying mass and a nonsmooth light system is studied. The light system, namely nonlinear energy sink (NES) is implemented for passively controlling the linear system against external impulses and/or forces. Obtained invariant manifold of the system at fast time scale let us explain the system behavior during its transient and steady-state regime while predicted dynamics of the system at slow time scale let us detect the positions of fixed and fold singularities by explanation of its behavior.