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碰摩转子系统的分叉与混沌行为分析

Analysis on Bifurcation and Chaos Behaviors of Rigid Rotor System With Rubbing Fault

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【作者】 王胤鼎李以农王家序郑玲

【Author】 WANG Yin-ding, LI Yi-nong, WANG Jia-xu, ZHENG Ling (State Key Laboratory of Mechanical Transmission, Chongqing University, Chongqing 400044, China)

【机构】 重庆大学机械传动国家重点实验室重庆大学机械传动国家重点实验室 重庆400044重庆400044

【摘要】 建立了两端刚性支撑的Jeffcott转子局部碰摩的动力学模型,将打靶法的思想与四阶龙格库塔法结合,对转子系统由于局部碰摩故障导致的非线性动力学行为进行了研究,数值模拟得出转子系统碰摩的分叉,轴心轨迹,位移响应,幅值频谱和Poincar啨截面图,分析了转子系统参数:频率比和偏心量对转子系统运动的影响,从中发现此类非线性振动系统具有周期、拟周期和混沌等复杂的动力学行为,研究结果对转子系统的故障识别与诊断具有一定的意义。

【Abstract】 The dynamic model of local rubbing Jeffcott rotor system with two rigid supports was established. Nonlinear dynamic behaviors of rotor system caused by local rubbing fault were studied based on the combination of thought of Shooting method and Runge-Kutta method. The bifurcation diagram and some typical rotor shaft locus, time history, amplitude spectra, and Poincar mapping sections of rotor system response and so on were obtained from numerical simulation. Based on what had been obtained, the effects of frequency ratio and eccentric mass on rotor system motions were analyzed, and there were complex nonlinear dynamic behaviors, including periods, quasi-periods and chaos motions and so forth in the nonlinear vibration system. The conclusions are of great significance to identify and diagnose the rubbing fault of rotor system.

【关键词】 分叉混沌非线性转子动力学
【Key words】 bifurcationchaosnonlinearityrotordynamics
【基金】 国家自然科学基金重点资助项目(50735008)
  • 【文献出处】 机械设计与研究 ,Machine Design & Research , 编辑部邮箱 ,2008年02期
  • 【分类号】TH113
  • 【被引频次】4
  • 【下载频次】218
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