The dynamic response of a centrifugal pendulum vibration absorber with motion-limiting stops
Résumé
The effects of motion-limiting stops on the dynamic behavior of a centrifugal pendulum vibration absorber are studied. The equations of motion for the two degrees-of-freedom system are decoupled and an isolated, non-dimensionalized set of equations of motion is obtained for the pendulum which includes the effects of the stops. The results of the analysis provide the existence and stability of the non-linear impacting periodic motions of the pendulum, based on various system parameters. Several properties which are inherent to the system are discovered in this analysis which have not been previously considered. One such property is the coexistence of impacting and non-impacting periodic motions at the desired operating frequency for which the pendulum is designed. The results indicate, however, that such coexistence occurs when the pendulum damping is larger than is reasonable for practical applications. The effect of detuning of the absorber is also considered.
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