Advertisement

Feature extraction method based on NOFRFs and its application in faulty rotor system with slight misalignment

  • Yang LiuEmail author
  • Yulai Zhao
  • Jintao Li
  • Huanhuan Lu
  • Hui Ma
Review
  • 56 Downloads

Abstract

Fault features extraction method for slight misalignment of rotor systems is researched in this paper. When a rotor system with faults is excited by harmonic inputs, system response will contain higher harmonic components. Phenomenon of these higher harmonics implies the presence of nonlinear features in a rotor system. When extracting these nonlinear features, traditional methods have certain limitations, and it is easy to ignore weak features of a rotor system. Nonlinear output frequency response functions (NOFRFs) can extract effectively nonlinear features of a rotor system from noise-containing vibration signals and are used in many fault diagnosis fields. However, as for weak damage to structures and in the early stages of a system faults, fault features reflected by high-order NOFRFs are not still obvious enough. Therefore, a new method, named variable weighted contribution rate of NOFRFs, is proposed in this paper. This method enhances the ratio of high-order output frequency response to total output response of a rotor system. Based on this method, a new index MR is proposed to detect the faults of a rotor system. In addition, lumped mass model is used in this paper to simulate misaligned rotor system with slight misalignment, and the sensitivities of the traditional methods and new index for slight misalignment fault features extraction are compared. The results indicate that the new index is more sensitive for the slight misalignment rotor system. Additionally, the rotor system with misalignment fault experiment table is built, and the effectiveness of this new index for detecting the slight misalignment fault of the rotor system is verified.

Keywords

Slight misalignment NOFRFs Variable weighted Weak feature enhancement Feature extraction 

Notes

Acknowledgements

This work was supported by the National Natural Science Foundation of China (Grant Nos. 51875093, U1708257), Basic Research Business Fee of the Central University of Education (Grant No. N180304017), and China Postdoctoral Science Foundation (Grant Nos. 2014M551105, 2015T80269).

Compliance with ethical standards

Conflicts of interest

The authors declare that they have no conflict of interest.

References

  1. 1.
    Cao, H., Niu, L., Xi, S., Chen, X.: Mechanical model development of rolling bearing–rotor systems: a review. Mech. Syst. Signal Process. 102, 37–58 (2018)CrossRefGoogle Scholar
  2. 2.
    Ma, H., Wang, X., Niu, H., Wen, B.: Oil-film instability simulation in an overhung rotor system with flexible coupling misalignment. Arch. Appl. Mech. 85(7), 893–907 (2015)CrossRefGoogle Scholar
  3. 3.
    Gibbons C.B.: Coupling misalignment forces. In: Proceeding of the Fifth Turbomachinery Symposium, Gas Turbine Laboratories, Texas, pp. 1111–1116 (1976)Google Scholar
  4. 4.
    Sekhar, A.S., Prabhu, B.S.: Effects of coupling misalignment on vibrations of rotating machinery. J. Sound Vib. 185(4), 655–671 (1995)zbMATHCrossRefGoogle Scholar
  5. 5.
    Xu, M., Marangoni, R.D.: Vibration analysis of a motor-flexible coupling–rotor system subject to misalignment and unbalance, part ii: experimental validation. J. Sound Vib. 176(5), 681–691 (1994)zbMATHCrossRefGoogle Scholar
  6. 6.
    Sudhakar, G.N.D.S., Sekhar, A.S.: Coupling misalignment in rotating machines: modelling, effects and monitoring. Noise Vib. Worldw. 40(1), 17–39 (2009)CrossRefGoogle Scholar
  7. 7.
    Qi, X., Yuan, Z., Han, X.: Diagnosis of misalignment faults by tacholess order tracking analysis and RBF networks. Neurocomputing 169, 439–448 (2015)CrossRefGoogle Scholar
  8. 8.
    Yuan, Y., Yesong, L., Quan, Y.: A novel method based on self-sensing motor drive system for misalignment detection. Mech. Syst. Signal Process. 116, 217–229 (2019)CrossRefGoogle Scholar
  9. 9.
    Sawalhi, N., Ganeriwala, S., Tóth, M.: Parallel misalignment modeling and coupling bending stiffness measurement of a rotor–bearing system. Appl Acoust. 144, 124–141 (2019)CrossRefGoogle Scholar
  10. 10.
    Da Silva Tuckmantel, F.W., Cavalca, K.L.: Vibration signatures of a rotor–coupling–bearing system under angular misalignment. Mech. Mach. Theory 133, 559–583 (2019)CrossRefGoogle Scholar
  11. 11.
    Lei, Y., Lin, J., He, Z., Zuo, M.J.: A review on empirical mode decomposition in fault diagnosis of rotating machinery. Mech. Syst. Signal Process. 35(1–2), 108–126 (2013)CrossRefGoogle Scholar
  12. 12.
    Rai, V.K., Mohanty, A.R.: Bearing fault diagnosis using fft of intrinsic mode functions in Hilbert–Huang transform. Mech. Syst. Signal Process. 21(6), 2607–2615 (2007)CrossRefGoogle Scholar
  13. 13.
    Li, B., Ma, H., Yu, X., Zeng, J., Guo, X., Wen, B.: Nonlinear vibration and dynamic stability analysis of rotor–blade system with nonlinear supports. Arch. Appl. Mech. 24, 1–28 (2019) Google Scholar
  14. 14.
    Luo, Z., Wang, J., Tang, R., Wang, D.: Research on vibration performance of the nonlinear combined support-flexible rotor system. Nonlinear Dyn. 98, 1–16 (2019)CrossRefGoogle Scholar
  15. 15.
    Liu, Y., Meng, Q., Yan, X., Zhao, S., Han, J.: Research on the solution method for thermal contact conductance between circular-arc contact surfaces based on fractal theory. Int. J. Heat Mass Transf. 145, 118740 (2019)CrossRefGoogle Scholar
  16. 16.
    Xia, X., Zhou, J.Z., Xiao, J., Xiao, H.: A novel identification method of Volterra series in rotor–bearing system for fault diagnosis. Mech. Syst. Signal Process. 66–67, 557–567 (2016)CrossRefGoogle Scholar
  17. 17.
    Jones, J.C.P., Yaser, K.S.A.: A new harmonic probing algorithm for computing the MIMO Volterra frequency response functions of nonlinear systems. Nonlinear Dyn. 94(2), 1029–1046 (2018)CrossRefGoogle Scholar
  18. 18.
    Lang, Z.Q., Billings, S.A., Yue, R., Li, J.: Output frequency response function of nonlinear Volterra systems. Automatica 43(5), 805–816 (2007)MathSciNetzbMATHCrossRefGoogle Scholar
  19. 19.
    Swain, A.K., Billings, S.A., Stansby, P.K., Baker, M.: Accurate prediction of non-linear wave forces: part I (fixed cylinder). Mech. Syst. Signal Process. 12, 449–485 (1998)CrossRefGoogle Scholar
  20. 20.
    Jing, X.J., Lang, Z.Q., Billings, S.A.: Mapping from parametric characteristics to generalized frequency response functions of non-linear systems. Int. J. Control 81(7), 1071–1088 (2008)MathSciNetzbMATHCrossRefGoogle Scholar
  21. 21.
    Lang, Z.Q., Billings, S.A.: Energy transfer properties of nonlinear systems in the frequency domain. Int. J. Control 78, 354–362 (2005)CrossRefGoogle Scholar
  22. 22.
    Lang, Z.Q., Park, G., Farrar, C.R., Todd, M.D., Mao, Z., Zhao, L., Worden, K.: Transmissibility of non-linear output frequency response functions with application in detection and location of damage in MDOF structural systems. Int. J. Non Linear Mech. 46(6), 841–853 (2011)CrossRefGoogle Scholar
  23. 23.
    Lang, Z.Q., Futterer, M., Billings, S.A.: The identification of a class of nonlinear systems using a correlation analysis approach. IFAC Proc. Vol. 38(1), 208–212 (2005)CrossRefGoogle Scholar
  24. 24.
    Prawin, J., Rao, A.R.M.: Damage detection in nonlinear systems using an improved describing function approach with limited instrumentation. Nonlinear Dyn. 96, 1–24 (2019)CrossRefGoogle Scholar
  25. 25.
    Wang, G., Yi, C.: Fault estimation for nonlinear systems by an intermediate estimator with stochastic failure. Nonlinear Dyn. 89(2), 1195–1204 (2017)zbMATHCrossRefGoogle Scholar
  26. 26.
    Peng, Z.K., Lang, Z.Q., Billings, S.A.: Analysis of bilinear oscillators under harmonic loading using nonlinear output frequency response functions. Int. J. Mech. Sci. 49(11), 1213–1225 (2007)CrossRefGoogle Scholar
  27. 27.
    Liu, Y., Chávez, J.P.: Controlling multistability in a vibro-impact capsule system. Nonlinear Dyn. 88(2), 1289–1304 (2017)CrossRefGoogle Scholar
  28. 28.
    Li, B., Ma, H., Yu, X., Zeng, J., Guo, X., Wen, B.: Nonlinear vibration and dynamic stability analysis of rotor–blade system with nonlinear supports. Arch. Appl. Mech. 12, 1–28 (2019)Google Scholar
  29. 29.
    Peng, Z.K., Lang, Z.Q., Wolters, C., Billings, S.A., Worden, K.: Feasibility study of structural damage detection using NARMAX modelling and nonlinear output frequency response function based analysis. Mech. Syst. Signal Process. 25, 1045–1061 (2011)CrossRefGoogle Scholar
  30. 30.
    Huang, H.L., Mao, H.Y., Mao, H.L.: Study of cumulative fatigue damage detection for used parts with nonlinear output frequency response functions based on NARMAX modelling. J. Sound Vib. 411, 75–87 (2017)CrossRefGoogle Scholar
  31. 31.
    Mao, H.L., Tang, W., Huang, Y.: The construction and comparison of damage detection index based on the nonlinear output frequency response function and experimental analysis. J. Sound Vib. 427, 82–94 (2018)CrossRefGoogle Scholar
  32. 32.
    Pilipchuk, V.N.: Transitions from strongly to weakly-nonlinear dynamics in a class of exactly solvable oscillators and nonlinear beat phenomena. Nonlinear Dyn. 52(3), 263–276 (2008)MathSciNetzbMATHCrossRefGoogle Scholar
  33. 33.
    Liu, Y., Páez Chávez, J., Pavlovskaia, E., Wiercigroch, M.: Analysis and control of the dynamical response of a higher order drifting oscillator. Proc. R. Soc. A Math. Phys. Eng. Sci. 474(2210), 20170500 (2018)MathSciNetzbMATHCrossRefGoogle Scholar
  34. 34.
    Ma, H., Zeng, J., Feng, R., Pang, X., Wang, Q., Wen, B.: Review on dynamics of cracked gear systems. Eng. Fail. Anal. 55, 224–245 (2015)CrossRefGoogle Scholar
  35. 35.
    Xu, M., Marangoni, R.D.: Vibration analysis of a motor-flexible coupling–rotor system subject to misalignment and unbalance, part I: theoretical model and analysis. J. Sound Vib. 176(5), 663–679 (1994)zbMATHCrossRefGoogle Scholar
  36. 36.
    Liu, Y., Han, J., Xue, Z., Zhang, Y., Yang, Q.: Structural vibrations and acoustic radiation of blade–shafting–shell coupled system. J. Sound Vib. 463, 114961 (2019)CrossRefGoogle Scholar
  37. 37.
    Awrejcewicz, J., Dzyubak, L.P.: Chaos caused by hysteresis and saturation phenomenon in 2-dof vibrations of the rotor supported by the magneto-hydrodynamic bearing. Int. J. Bifurc. Chaos 21(10), 2801–2823 (2011)zbMATHCrossRefGoogle Scholar
  38. 38.
    Awrejcewicz, J., Dzyubak, L.P.: 2-dof non-linear dynamics of a rotor suspended in the magneto-hydrodynamic field in the case of soft and rigid magnetic materials. Int. J. Non Linear Mech. 45(9), 919–930 (2010)CrossRefGoogle Scholar
  39. 39.
    Broda, D., Pieczonka, L., Hiwarkar, V., Staszewski, W.J., Silberschmidt, V.V.: Generation of higher harmonics in longitudinal vibration of beams with breathing cracks. J. Sound Vib. 381, 206–219 (2016)CrossRefGoogle Scholar

Copyright information

© Springer Nature B.V. 2019

Authors and Affiliations

  • Yang Liu
    • 1
    • 2
    Email author
  • Yulai Zhao
    • 1
  • Jintao Li
    • 1
  • Huanhuan Lu
    • 1
  • Hui Ma
    • 1
    • 2
  1. 1.School of Mechanical Engineering and AutomationNortheastern UniversityShenyangChina
  2. 2.Key Laboratory of Vibration and Control of Aero-Propulsion System Ministry of EducationNortheastern UniversityShenyangChina

Personalised recommendations