东北大学学报:自然科学版 ›› 2018, Vol. 39 ›› Issue (3): 367-372.DOI: 10.12068/j.issn.1005-3026.2018.03.013

• 机械工程 • 上一篇    下一篇

转子系统常开裂纹故障信息提取方法的研究

刘杨, 石拓, 姚红良, 闻邦椿   

  1. (东北大学 机械工程与自动化学院, 辽宁 沈阳110819)
  • 收稿日期:2016-09-21 修回日期:2016-09-21 出版日期:2018-03-15 发布日期:2018-03-09
  • 通讯作者: 刘杨
  • 作者简介:冯明杰(1971-), 男, 河南禹州人, 东北大学副教授; 王恩刚(1962-), 男, 辽宁沈阳人, 东北大学教授,博士生导师.刘杨(1982 -),男,辽宁沈阳人,东北大学副教授; 闻邦椿(1930-),男,浙江温岭人,东北大学教授,博士生导师,中国科学院院士.
  • 基金资助:
    国家自然科学基金资助项目(51171041).中央高校基本科研业务费专项资金资助项目(N140304005, N160313003); 中国博士后科学基金资助项目(2014M551105, 2015T80269).

Research on Fault Diagnosis Information of Open Crack for Rotor System

LIU Yang, SHI Tuo, YAO Hong-liang, WEN Bang-chun   

  1. School of Mechanical Engineering & Automation, Northeastern University, Shenyang 110819, China.
  • Received:2016-09-21 Revised:2016-09-21 Online:2018-03-15 Published:2018-03-09
  • Contact: LIU Yang
  • About author:-
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摘要: 针对由于横向常开裂纹引起的裂纹故障转子系统,根据Paris理论,运用由应力强度因子及应变能密度函数推导得到的裂纹柔度系数矩阵,建立了裂纹转子系统动力学模型.由于含有横向裂纹故障的转子系统的刚度矩阵会发生相应变化,因此,在已知柔度系数矩阵的基础上,通过对比无故障转子系统与裂纹转子系统的动力学方程,可以推导出裂纹转子系统的剩余量动力学方程.分析裂纹所在轴段两端的受力情况,结合剩余量动力学方程,从振动信号中提取出常开裂纹发生的位置及裂纹深度信息.结果表明,本文运用的常开裂纹信息提取方法理论上只需要采集两个不同转速下,三个节点的振动信号进行诊断分析,简便可行,并可为转子系统、悬臂梁、桁架结构等常开裂纹故障诊断提供一定的理论依据.

关键词: 常开裂纹, 柔度系数, 裂纹位置, 裂纹深度, Paris理论

Abstract: According to the rotor system with crack fault caused by transverse open crack, the dynamic model of crack rotor system was established using the crack compliance coefficient matrix that is derived from the stress intensity factors and strain energy density function based on the Paris theory. Since the stiffness matrix of rotor system with transverse crack fault will have corresponding changes, the surplus dynamics equation of cracked rotor system can be deduced by comparing the dynamics equations of the fault-free rotor system with that of the crack rotor system based on the flexibility coefficient matrix. Moreover, the information of open crack’s location and depth can be extracted from the vibration signal by analyzing stress condition at both ends of the shaft segment where crack exists and combining with the surplus dynamics equation. The results show that the open crack information extraction method used in this paper only needs to collect the vibration signal of three nodes at two different speeds to make diagnostic analysis. This method is simple and feasible, which may provide certain theoretical basis for the open crack fault diagnosis of the rotor system, cantilever beam and truss structure.

Key words: open crack, flexibility coefficient, crack location, crack depth, Paris theory

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