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Stable periodic motions of an impact-pair
Authors:CN Bapat  N Popplewell  K McLachlan
Institution:Department of Mechanical Engineering University of Manitoba, Winnipeg, Canada R3T 2N2;Department of Civil Engineering University of Manitoba, Winnipeg, Canada R3T 2N2
Abstract:The asymptotically stable motion of two rigid masses separated by a clearance is formulated most generally when the masses collide periodically. Predictions are shown to agree satisfactorily with comprehensive experimental results. Difficulties encountered in the practical application of this and similar stability theories are discussed with the help of empirical data. A technique is proposed for determining a clearance's dimensions in situ which could provide a basis for detecting progressive wear in mechanisms like gear trains.
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