Eventos Anais de eventos
DINAME 2023
XIX International Symposium on Dynamic Problems of Mechanics
Different coherent states for lightly supported coupled pendula
Submission Author:
Tomasz Kapitaniak , Województwo Lodzkie , Poland
Presenter: Tomasz Kapitaniak
doi://10.26678/ABCM.DINAME2023.DIN2023-0178
Abstract
We discuss and explain the phenomenon of synchronization in lightly supported mechanical systems. The investigations are focused on the models of self–excited pendula hanged on the horizontally oscillating beam, which is lightly connected with the external support. We uncover and analyze typical dynamical solutions within which the units synchronize and the bifurcations between them, determining the regions and the conditions supporting the synchronization. Our investigations exhibit, that with the increase of the size of the network, the number of co–existing attractors also increases, leading to possible multistability and new types of behaviours. The results obtained numerically match with the analytical ones obtained from the CoM (Centre-of-Mass) Theorem.
Keywords
pendula systems, synchronization, Multistability, Classical Mechanics
