and Applied Mechanics
56, 3, pp. 585-599, Warsaw 2018
DOI: 10.15632/jtam-pl.56.3.585
Bifurcation and chaos analysis of a gear-rotor-bearing system
model of a gear-rotor-bearing system is established. It consists of a gear pair, supporting
shafts, bearings and other auxiliary components. The effects of frequency, backlash, bearing
clearance, comprehensive transmission error and stiffness on nonlinear dynamics of the
system are investigated according to bifurcation diagrams, phase portraits and Poincaré
maps by a numerical method. Some nonlinear phenomena such as grazing bifurcation, Hopf
bifurcation, inverse-Hopf bifurcation, chaos and coexistence of attractors are investigated.
Different grazing bifurcations and their causes are discussed. The critical parameters are
identified, too.
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