The dynamic response of a pair of identical centrifugal pendulum vibration absorbers is considered. Of particular interest here is the effectiveness of using non-linear behavior to simultaneously reduce torsional vibrations in rotating machines that arise from external torques consisting of multiple harmonics. The equations of motion for the coupled absorber/rotary system are given in which the absorbers are allowed to undergo finite amplitude motions. The Method of Multiple Scales (MMS) is applied to the second order to achieve approximate steady-state solutions of these equations. It is found that the pair of absorbers are capable of simultaneously cancelling two harmonics when the absorber damping is kept small, although higher order harmonics may be amplified. This is achieved by a bifurcation of the unison motion of the absorbers to a motion with a relative phase shift and an amplitude difference. Due to this bifurcation, the performance of the absorber pair is superior to that of a single absorber having the same total inertia. This study focuses on the analytical aspects of the problem and simulation verification of the results. (C) 1997 Academic Press Limited. [References: 13]
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