Metamorphoses of resonance curves in systems of coupled oscillators

Jan Kyzioł, Andrzej Okniński
2016 Journal of Theoretical and Applied Mechanics  
We study dynamics of two coupled periodically driven oscillators in a general case and compare it with two simplified models. Periodic steady-state solutions to these system equations are determined within the Krylov-Bogoliubov-Mitropolsky approach. Amplitude profiles are computed. These two equations, each describing a surface, define a 3D curve -intersection of these surfaces. In the present paper, we analyse metamorphoses of amplitude profiles induced by changes of control parameters in
more » ... dynamical systems studied. It is shown that changes of the dynamics occur in the vicinity of singular points of these 3D curves.
doi:10.15632/jtam-pl.54.4.1197 fatcat:6hmugdn3ynefjmfsqlq5hxjltq