Abstract
From Luo (2009), Luo and O'Connor (2009), the gear transmission system with a gear pair will be described through an impact model with possible stick between the two gears. The motion mechanism of impacting chatter with stick will be presented herein. The onset and vanishing conditions for stick motions will be discussed, and the condition for maintaining stick motion will be obtained as well. Grazing and stick conditions will be used for the existence of periodic motions. Such periodic motions will be predicted analytically through mapping structures, and the local stability and bifurcation analyses will be completed. A better understanding of the motion mechanism between two gears may be helpful for improving the efficiency of gear transmission systems.
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