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Dynamic interactions between parametric pendulum and electro-dynamical shaker

Abstract:

In this paper we investigate the dynamic interactions between a parametric pendulum and an electro-dynamical shaker aiming to explain a weak correlation between the theoretical pbkp_redictions obtained for a parametric pendulum model and the experimental results for pendulum rig driven by the shaker. In particular, the quasi-periodic rotations were found experimentally to be co-existing with the period one rotations, where no such motion can be pbkp_redicted for parametric pendulum with an ideal parametric excitation. First the experimental setup including the pendulum, the shaker and data acquisition system is described. Then the electro-dynamical shaker is modelled as two and a half degrees-of-freedom system. Next the parameters of the system have been identified by static and dynamic tests. Finally, comparisons between theoretical and experimental results were made for the pendulum-shaker system and a good agreement was obtained for a wide range of the system parameters. © 2007 WILEY-VCH Verlag GmbH & Co. KGaA.