Authors: Hedrih, Katica (Stevanović) 
Simonović, Julijana D.
Affiliations: Mathematical Institute of the Serbian Academy of Sciences and Arts 
Title: Multi-frequency analysis of the double circular plate system non-linear dynamics
Journal: Nonlinear Dynamics
Volume: 67
Issue: 3
First page: 2299
Last page: 2315
Issue Date: 1-Feb-2012
Rank: M21a
ISSN: 0924-090X
DOI: 10.1007/s11071-011-0147-7
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.
Keywords: Coupled double-plate system | Eigen forced time functions | Mode interactions | Multi-frequency | Resonant jumps | Trigger of coupled singularities
Publisher: Springer Link
Project: Dynamics of hybrid systems with complex structures. Mechanics of materials. 

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