Abstract
The gear dynamics is described by a time-varying nonlinear differential equation due to its time variable tooth stiffness and its backlash. Therefore, it is an important and interesting problem from the viewpoint of estimating the dynamic load or gear noise and contribution to the theory of nonlinear mechanics to discuss whether or not distinctive new phenomena occur in a gear system which can not in principle occur in a linear system. In this study, the bifurcation sets of periodic solutions under some gear parameters are obtained numerically by the variational equation, and chaotically transitional phenomena are investigated by the Poincare6 map.
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