东北大学学报（自然科学版）

东北大学学报(自然科学版) ›› 2003, Vol. 24 ›› Issue (8): 802-805.DOI: -

• 论著 • 上一篇    下一篇

碰摩转子轴承系统的非线性动力响应行为

刘长利;姚红良;李鹤;闻邦椿   

  1. 东北大学机械工程与自动化学院;东北大学机械工程与自动化学院;东北大学机械工程与自动化学院;东北大学机械工程与自动化学院 辽宁沈阳　110004
  • 收稿日期:2013-06-24 修回日期:2013-06-24 发布日期:2013-06-24
  • 通讯作者: Liu, C.-L.
  • 作者简介:-
  • 基金资助:
    国家自然科学基金资助项目(50275024)

Nonlinear dynamical response of rotor-bearing system with rub-impact fault

Liu, Chang-Li (1); Yao, Hong-Liang (1); Li, He (1); Wen, Bang-Chun (1)   

  1. (1) Sch. of Mech. Eng. and Automat., Northeastern Univ., Shenyang 110004, China
  • Received:2013-06-24 Revised:2013-06-24 Published:2013-06-24
  • Contact: Liu, C.-L.
  • About author:-
  • Supported by:
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摘要： 根据碰摩转子轴承系统的非线性动力学方程,利用求解非线性动力系统周期解的延拓打靶算法,研究了转子偏心、碰摩间隙等参数对系统动力学行为的影响,发现当转子的偏心量较小时,系统同频周期运动以Hopf分岔形式失稳,而偏心量较大时以倍周期分岔形式失稳·系统转定子的碰摩影响了油膜涡动的产生,使系统周期运动的失稳转速提高·为转子轴承系统故障诊断、振动控制及稳定运行提供了理论参考·

关键词: 转子轴承系统, 碰摩, 延拓打靶法, Floquet理论, 分岔, 稳定性

Abstract: Based on the nonlinear dynamical model of the rotor-bearing system with rub-impact fault, the stability of the periodic motion of the system in unbalance-rotational speed and clearance-rotational speed plane were studied by the continuation-shooting algorithm for the periodic solutions of nonlinear non-autonomous dynamic systems. The stability of the periodic motion of the system decreases obviously when the unbalance increases. The small unbalance results in Hopf bifurcation, and the large unbalance results in doubling bifurcation. The critical speed of period doubling bifurcation increases when the clearance between rotor and stator decreases because rub-impact affects, the occurrence of oil whirl, and it does not change under large clearance because the oil whirl occurs before rub-impact or the rub-impact does not occur.

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