Resonance steady states and transient in some non-ideal systems

Abstract

We study a resonance behavior of two system with a limited power-supply (or non-ideal systems, NIS). Namely, the NIS having the pendulum as absorber, and the NIS presented the portal frame are considered. The multiple scales method is used to describe such systems dynamics near the resonance 1:1. Transient in these NIS is successfullyconstructed using the rational Padé approximations. Tending of the transient to the resonance steady state with increase of time is shown.