Skip to main content
SpringerLink
Log in

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

  • Published:
Journal of Mechanical Science and Technology Aims and scope Submit manuscript

Abstract

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.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

References

  1. A. D. Dimarogonas and C. A. Papadopoulos. Vibration of cracked shafts in bending, Journal of Sound & Vibration, 91 (4) (1983) 83–593.

    Article  MATH  Google Scholar 

  2. W. Liu and M. E. Barkey, Frequency error based identification of cracks in beam-like structures, Journal of Mechanical Science & Technology, 31 (10) (2017) 4657–4667.

    Article  Google Scholar 

  3. H. M. Mobarak et al., New crack breathing mechanism under the influence of unbalance force, Archive of Applied Mechanics (2017) 1–32.

    Google Scholar 

  4. P. Xie, Crack rotor dynamic feature analysis and diagnosis method based on information entropy, Chinese Journal of Mechanical Engineering, 45 (1) (2009) 195–199.

    Article  Google Scholar 

  5. Z. N. Li et al., Parametric bispectrum analysis of cracked rotor based on blind identification of time series models, Intelligent Control and Automation, WCICA 2006. The Sixth World Congress on, IEEE (2006) 5729–5733.

    Google Scholar 

  6. W. M. Wang, Theoretical and experimental study on the fault on the fault self-ercovering system of high speed turbo machinery, Journal of Vibration & Shock (2006).

    Google Scholar 

  7. Z. Q. Lang and S. A. Billings, Energy transfer properties of non-linear system in the frequency domain, International Journal of Control, 78 (5) (2005) 345–362.

    Article  MathSciNet  MATH  Google Scholar 

  8. Z. Q. Lang et al., Output frequency response function of nonlinear Volterra system, International Journal of Control, 52 (2) (2007) 319–346.

    MathSciNet  Google Scholar 

  9. X. J. Jing and Z. Q. Lang, Output frequency characteristics of nonlinear system, International Journal of Control, 64 (6) (2015) 1049–1067.

    MathSciNet  Google Scholar 

  10. Z. K. Peng et al., Analysis of bilinear oscillators under harmonic loading using nonlinear output frequency response functions, International Journal of Mechanical Sciences, 49 (11) (2007) 1213–1225.

    Article  Google Scholar 

  11. L. Wang and Z. C. Yang, Effect of response type and excitation frequency range on the structural damage detection method using correlation functions of vibration responses, Journal of Sound and Vibration, 332 (4) (2013) 645–653.

    Article  Google Scholar 

  12. H. L. Yao et al., The local nonlinear multi-freedom system frequency response and nonlinear identification method of location, Journal of Dynamics and Control, 9 (2) (2011) 107–110.

    Google Scholar 

  13. Z. K. Peng and Z. Q. Lang, Detecting the position of nonlinear component in periodic structures from the system responses to dual sinusoidal excitations, International Journal of Non-Linear Mechanics, 42 (9) (2007) 1074–1083.

    Article  Google Scholar 

  14. S. Y. Jiang and S. Zheng, A modeling approach for analysis and improvement of spindle-drawbar-bearing assembly dynamics, International Journal of Machine Tools & Manufacture, 50 (1) (2010) 131–142.

    Article  Google Scholar 

  15. C. F. Li et al., Investigation on the stability of periodic motions of a flexible rotor-bearing system with two unbalanced disks, Journal of Mechanical Science & Technology, 28 (7) (2014) 2561–2579.

    Article  Google Scholar 

  16. H. Ma et al., Dynamic characteristics analysis of a rotor–stator system under different rubbing forms, Applied Mathematical Modelling, 39 (8) (2015) 2392–2408.

    Article  Google Scholar 

  17. C. A. Papadopoulos and A. D. Dimarogonas, Coupled longitudinal and bending vibrations of a rotating shaft with an open crack, Journal of Sound & Vibration, 117 (1) (1987) 81–93.

    Article  Google Scholar 

  18. S. Y. Jiang and S. Zheng, Dynamic design of a high-speed motorized spindle-bearing system, Journal of Mechanical Design, 132 (3) (2010) 034501.

    Article  Google Scholar 

  19. Z. K. Peng, Z. Q. Lang and G. Meng, Evaluation of transmissibility for a class of nonlinear passive vibration isolators, Frontiers of Mechanical Engineering, 7 (4) (2012) 401–409.

    Article  Google Scholar 

  20. Y. G. Li, T. N. Chen and X. P. Wang, Non-linear dynamics of gear pair with dynamic backlash subjected to combined internal and external periodic excitations, Journal of Vibration and Control, 22 (6) (2016) 1693–1703.

    Article  MathSciNet  Google Scholar 

  21. M. Taajobian et al., Fault diagnosis of an automobile cylinder head using low frequency vibrational data, Journal of Mechanical Science and Technology, 32 (7) (2018) 3037–3045.

    Article  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. School of Mechanical Engineering & Automation, Northeastern University, Shenyang, 110819, China

    Yang Liu, Yulai Zhao, Jiyuan Han, Qingyu Meng & Hongliang Yao

Authors
  1. Yang Liu
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Yulai Zhao
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. Jiyuan Han
    View author publications

    You can also search for this author in PubMed Google Scholar

  4. Qingyu Meng
    View author publications

    You can also search for this author in PubMed Google Scholar

  5. Hongliang Yao
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to Yang Liu.

Additional information

Recommended by Associate Editor Sungsoo Na

Yang Liu is mainly engaged in research work in the fields of mechanical dynamics and control, and has published more than 30 academic papers, including more than 20 articles by SCI and EI. He has presided over 2 projects of the National Natural Science Foundation of China. He is currently a member of the China Rotor Dynamics Professional Committee, an executive director of Vibration Engineering of the Liaoning Province Society, a peer reviewer of the National Natural Science Foundation, and an EI journal reviewer such as the Journal of Mechanical Engineering. He was awarded the honorary title of the first batch of “Top Ten Talents in Science and Technology” in Shenyang and “Excellent Reviewers in Journal of Mechanical Engineering”.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Liu, Y., Zhao, Y., Han, J. et al. Combination algorithm for cracked rotor fault diagnosis based on NOFRFs and HHR. J Mech Sci Technol 33, 1585–1593 (2019). https://doi.org/10.1007/s12206-019-0310-5

Download citation

  • Received:

  • Revised:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s12206-019-0310-5

Keywords

Search

Navigation