Bifurcation and chaos analysis of a gear-rotor-bearing system
Bifurcation and chaos analysis of a gear-rotor-bearing system
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DOI：
10.15632/jtam-pl.56.3.585
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发表时间：
2018-07
影响因子：
0.7
通讯作者：
Xiang-feng Gou;Lingyun Zhu;Changjun Qi
中科院分区：
文献类型：
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作者：
Xiang-feng Gou;Lingyun Zhu;Changjun Qi
为了研究齿轮系统的混沌与分岔，建立了齿轮-转子-轴承系统的五自由度非线性动力学模型。它由齿轮副、支承轴、轴承和其他辅助部件组成。利用数值方法，根据系统的分岔图、相图和Poincare映射，研究了频率、齿隙、轴承间隙、综合传动误差和刚度对系统非线性动力学特性的影响。研究了一些非线性现象，如擦边分岔、Hopf分岔、逆Hopf分岔、混沌和吸引子共存等。讨论了不同的掠食分岔现象及其原因。确定了关键参数。
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.