Multi-frequency analysis of the double circular plate system non-linear dynamics

Abstract

This paper presents a multi-frequency analysis of non-linear dynamics in a double circular plate system. The original series of the amplitude-frequency and phase-frequency graphs as well as eigen forced time functions-frequency graphs are obtained and analyzed for stationary resonant states. The series of the frequency characteristic of the forced time non-linear harmonics are presented first. The analyses identify the presence of singularities and triggers of coupled singularities, as well as resonant jumps. Furthermore, the analogies between non-linear phenomena of dynamics in particular multi-frequency stationary resonant regimes of multi-circular plate system, multi-beam system and according regimes in the chain system are commented upon.