Journal of Mechanical Science and Technology

, Volume 33, Issue 4, pp 1585–1593 | Cite as

Combination algorithm for cracked rotor fault diagnosis based on NOFRFs and HHR

  • Yang LiuEmail author
  • Yulai Zhao
  • Jiyuan Han
  • Qingyu Meng
  • Hongliang Yao


In this paper, a combination algorithm for diagnosing rotor crack fault is presented. Firstly, the nonlinear output frequency response functions (NOFRFs) are used to analyze the severity of crack damage in the rotor system qualitatively. The NOFRFs are obtained by processing the vibration signal through the nonlinear output frequency response functions. Further analysis of the NOFRFs can determine the crack depth qualitatively. Secondly, the position of the crack is then located using the crack position index (CPI) λ based on the higher harmonic response (HHR) and the dynamic compliance matrix. The simulation and experimental results show that the G2(j2wF) in NOFRFs is very sensitive to crack depth, and the crack position index (CPI) λ can determine the shaft segment effectively where the crack is located. The advantage of this combination algorithm is that it can detect the crack faults by measuring the vibration signal of the cracked rotor at two speeds, which makes the measurement process more simplified and reduces the measurement time for real-time monitoring. At each speed only the vibration response of the two nodes need to be measured, which greatly reduces the number of sensor used in the measurement process and reduces the cost of monitoring. The combination algorithm can diagnose cracked rotor faults effectively and has certain application value in the diagnosis of cracked rotor fault.


Vibration signal Cracked rotor NOFRFs Fault diagnosis 


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Copyright information

© KSME & Springer 2019

Authors and Affiliations

  • Yang Liu
    • 1
    Email author
  • Yulai Zhao
    • 1
  • Jiyuan Han
    • 1
  • Qingyu Meng
    • 1
  • Hongliang Yao
    • 1
  1. 1.School of Mechanical Engineering & AutomationNortheastern UniversityShenyangChina

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