期刊
JOURNAL OF THEORETICAL AND APPLIED MECHANICS
卷 56, 期 3, 页码 585-599出版社
POLISH SOC THEORETICAL & APPLIED MECHANICS
DOI: 10.15632/jtam-pl.56.3.585
关键词
gear-rotor-bearing; dynamics; bifurcation; chaos
类别
资金
- National Natural Science Foundation of China [51365025]
- Natural Science Key Foundation of Tianjin, China [16JCZDJC38500]
- Natural Science Foundation of Tianjin, China [17JCQNJC04300]
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 Poincare 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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