• CN:11-2187/TH
  • ISSN:0577-6686

机械工程学报 ›› 2019, Vol. 55 ›› Issue (13): 1-12.doi: 10.3901/JME.2019.13.001

• 特邀专栏:航空发动机健康监测与故障诊断 •    下一篇

非线性共振及其计算和应用

侯磊, 陈予恕   

  1. 哈尔滨工业大学航天学院 哈尔滨 150001
  • 收稿日期:2018-08-15 修回日期:2019-04-15 出版日期:2019-07-05 发布日期:2019-07-05
  • 通讯作者: 陈予恕(通信作者),男,博士,教授,博士研究生导师。主要研究方向为工程非线性动力学理论及其在工程中的应用。E-mail:yschen@hit.edu.cn
  • 作者简介:侯磊,男,博士,副教授,硕士研究生导师。主要研究方向为航空发动机转子系统非线性动力学。E-mail:houlei@hit.edu.cn
  • 基金资助:
    国家重点基础研究发展计划(973计划,2015CB057400)、国家自然科学基金(11602070)和中国博士后科学基金(2018T110282)资助项目。

Nonlinear Resonance and Its Calculations and Applications

HOU Lei, CHEN Yushu   

  1. School of Astronautics, Harbin Institute of Technology, Harbin 150001
  • Received:2018-08-15 Revised:2019-04-15 Online:2019-07-05 Published:2019-07-05

摘要: 通过总结非线性动力学系统现有部分成果,给出了非线性共振的含义及其计算方法。结合课题组在航空发动机转子系统非线性动力学研究领域的部分研究成果,以滚动轴承转子系统的VC共振、Duffing系统的亚谐共振、含裂纹、碰摩等故障转子系统的共振以及双转子系统的组合共振为算例,给出了具体工程问题的分析过程,并提出了非线性振动系统工作频率和工作点的优化选择方法,为非线性动力学系统,尤其是复杂非线性转子系统结构参数的优化设计和故障诊断提供了具体路径。

关键词: VC共振, 非线性共振, 故障共振, 滚动轴承, 航空发动机转子, 组合共振

Abstract: The definition of nonlinear resonance and its calculation methods is presented through summarizing some of the current research findings for nonlinear dynamic systems. Based on the research findings in the field of nonlinear dynamics on aero-engine's rotor system, the investigation process for resolving specific engineering problems is given through practical calculation examples such as the VC resonance of a ball bearing-rotor system, the sub-harmonic resonance of Duffing system, the resonances of rotor systems with crack fault or rub-impact, and the combination resonances of a dual-rotor system. Finally, the selection method for optimizing the operating frequency or operating point of nonlinear vibration systems is proposed. The approach provides specific path for the design of structure parameters and fault diagnosis of nonlinear dynamic systems, particularly for the complex nonlinear rotor systems.

Key words: aero-engine's rotor system, combination resonance, nonlinear resonance, rolling bearing, VC resonance, vibrational fault induced resonance

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