Stochastic synchronization of rotating parametric pendulums

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  • Heriot-Watt University
  • Norwegian University of Science and Technology


In this paper synchronization of two pendulums mounted on a mutual elastic single degree-of-freedom base is examined. The response of the pendulums is considered when their base is externally excited by a random phase sinusoidal force, thus leading to stochastic parametric excitation of the pendulums. The target is for the pendulums to establish and preserve rotary response since this study is motivated by a recently proposed ocean wave energy extraction concept where the heaving motion of waves excites a pendulum's hinge point. Since the wave bobbing motion is random the system's excitation is modelled as a narrow-band stochastic process. Mounting two pendulums on the same elastic base creates a coupling between them through their interaction with the base, providing a path for energy exchange between them. The dynamic response of the pendulums is numerically investigated with respect to establishment of rotations as well as identification of synchronization with the pendulums characteristics spanning along non-identical parameters.


Original languageEnglish
Pages (from-to)1945-1954
Number of pages10
Issue number8
Early online date16 May 2014
Publication statusPublished - Aug 2014


  • Coupled, Parametric, Pendulum, Stochastic, Synchronization, Wave energy