Abstract
This paper describes statistical mechanical results of the gear dynamics with and without the effect of shaft stiffness.For this purpose, we use statistical mechanical analysis by means of dynamical structure functions.We have already applied this method to several mechanical chaotic vibrations and shown numerically and experimentally that a series of peaks arising in the dynamical structure functions characterize the chaotic vibrations near bifurcation points.However, the method have never been tested on systems with the backlash.Terefore, statistical mechanical properties of chaotic dynamics arising in the gear system have not been fully understood.This paper studies this point by means of the dynamical structure functions, the Poincare map, and bifurcation diagrams.The chaotic bifurcation of the gear system is characterized by our method.
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