We study the synchronization of two rotating pendula mounted on a horizontal beam, which can roll on the parallel surface. The pendula are forced to rotate by different driving torques. It has been shown that after a transient two different types of synchronization between the pendula can be observed. The approximate analytical methods allow us to derive the synchronization conditions and explain the observed types of synchronous configurations. The energy balance in the system allows us to show how the energy is transferred between the pendula via the oscillating beam.
Synchronization of Slowly Rotating Nonidentically Driven Pendula
Contributed by the Design Engineering Division of ASME for publication in the JOURNAL OF COMPUTATIONAL AND NONLINEAR DYNAMICS. Manuscript received March 22, 2013; final manuscript received August 28, 2013; published online October 30, 2013. Assoc. Editor: Stefano Lenci.
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Lazarek, M., Nielaczny, M., Czolczynski, K., and Kapitaniak, T. (October 30, 2013). "Synchronization of Slowly Rotating Nonidentically Driven Pendula." ASME. J. Comput. Nonlinear Dynam. April 2014; 9(2): 021010. https://doi.org/10.1115/1.4025576
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