Journal of Theoretical
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

Xiangfeng Gou, Lingyun Zhu, Changjun Qi
To study chaos and bifurcation of a gear system, a five-degree-of-freedom nonlinear dynamic
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 PoincarĂ©
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.
Keywords: gear-rotor-bearing, dynamics, bifurcation, chaos

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