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Synchronous rotational motion of parametric pendulums

Abstract:

We study theoretically and experimentally the synchronization phenomenon of two rotating parametric pendulums attached to common elastic support under harmonic excitation. Two types of synchronous states have been identified - complete and phase synchronization. The interactions in the system have been investigated numerically and experimentally. The relation between the synchronization mode and the stability of the rotational motion for a system with flexible support has been studied. It has been demonstrated that the synchronization of pendulums rotating in antiphase is more beneficial from energy harvesting viewpoint than the synchronization in phase. Finally, an influence of the parameter mismatch between the pendulums on their synchronization has been examined.