Resonance regimes in the non-ideal system having the pendulum as absorber

Abstract

Resonance behavior of the system with a limited power-supply (or non-ideal system) which contains a pendulum as absorber is studied. The system dynamics is described using the multiple scales method. Resonance steady state and frequency responses are constructed. Stability of this stationary regime is studied by the analysis of the state neighborhood. Besides, transient is studied for initial times of the system dynamics.