Abstract
The gear dynamics is described by a time-varying nonlinear differential equation due to the time dependence of tooth stiffness and backlash. To discuss whether or not distinctive new phenomena occur in the gear system with its backlash and time-variable characters is an important and interesting problem from a practival viewpoint of estimating the dynamic load or gear noise as well as an academic one of contribution to nonlinear mechanics. In this study, the bifurcation sets of periodic solutions under some gear parameters are obtained and chaotically transitional phenomena are investigated by using the Poincaré map.
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Communicated by G. Yagawa, April 16, 1990
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Sato, K., Yamamoto, S. & kawakami, T. Bifurcation sets and chaotic states of a gear system subjected to harmonic excitation. Computational Mechanics 7, 173–182 (1991). https://doi.org/10.1007/BF00369977
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DOI: https://doi.org/10.1007/BF00369977