Skip to main content

Vibration Force Transmissibility of a Rotor-Stator System with Potential Rub-Impact

  • Conference paper
  • First Online:
Vibration Engineering for a Sustainable Future

Abstract

This paper investigates the force transmission characteristics between rotor and stator of a rotor dynamic system considering potential rub-impact. The system model comprises a Jeffcott rotor mounted on symmetrically located bearings, and a rigidly supported stator set concentrically with the rotor when the rotor is at static equilibrium position. The centrifugal force generated by the rotor eccentricity during the rotation acts as the vibration excitation source of the system. The nonlinear radial impact force and the tangential rub force in the intermittent contact between the rotor and stator are estimated by adopting a classical rub-impact model. The harmonic balance approximations and the numerical integration method are implemented to solve the governing equations and obtain the steady-state response of the rotor as well as force transmissibility between rotor and stator. The effects of mass unbalance level, contact stiffness, and contact friction coefficient on the rotordynamic behavior and vibration transmission characteristics are examined systematically. The results show that the impact contact has a hardening nonlinearity effect on the steady-state frequency response of the rotor. The increase of the rotor eccentricity can enlarge the vibration response near the resonance peak but may reduce the force transmissibility at certain rotational speed. A lower rub coefficient and a lower contact stiffness may reduce the vibration response as well as force transmission to the stator. These results give a deeper understanding of the effects of rub-impact on the vibration behavior and vibration transmission within rotor-stator system and, therefore, benefit improved designs with better dynamic characteristics.

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

Access this chapter

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 169.00
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 219.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book
USD 219.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

References

  1. Hou, L., Chen, H.Z., Chen, Y.S., Lu, K., Liu, Z.S.: Bifurcation and stability analysis of a nonlinear rotor system subjected to constant excitation and rub-impact. Mech. Syst. Signal Process. 125, 65–78 (2019)

    Article  Google Scholar 

  2. Yang, J., Xiong, Y.P., Xing, J.T.: Nonlinear power flow analysis of the Duffing oscillator. Mech. Syst. Signal Process. 45(2), 563–578 (2014)

    Article  Google Scholar 

  3. Yang, J., Shi, B.Y., Rudd, C.: On vibration transmission between interactive oscillators with nonlinear coupling interface. Int. J. Mech. Sci. 137, 238–251 (2018)

    Article  Google Scholar 

  4. Shi, B.Y., Yang, J., Rudd, C.: On vibration transmission in oscillating systems incorporating bilinear stiffness and damping elements. Int. J. Mech. Sci. 150, 458–470 (2019)

    Article  Google Scholar 

  5. Yang, J., Xiong, Y.P., Xing, J.T.: Dynamics and power flow behaviour of a nonlinear vibration isolation system with a negative stiffness mechanism. J. Sound Vib. 332(1), 167–183 (2013)

    Article  Google Scholar 

  6. Yang, J., Xiong, Y.P., Xing, J.T.: Power flow behaviour and dynamic performance of a nonlinear vibration absorber coupled to a nonlinear oscillator. Nonlinear Dyn. 80(3), 1063–1079 (2015)

    Article  Google Scholar 

  7. Dai, W., Yang, J., Shi, B.Y.: Vibration transmission and power flow in impact oscillators with linear and nonlinear constraints. Int. J. Mech. Sci. 168, 105234 (2020). https://doi.org/10.1016/j.ijmecsci.2019.105234

  8. Shi, B.Y., Yang, J.: Quantification of vibration force and power flow transmission between coupled nonlinear oscillators. Int. J. Dyn. Control. 8(2), 418–435 (2019)

    Google Scholar 

  9. Yang, J., Xiong, Y.P., Xing, J.T.: Vibration power flow and force transmission behaviour of a nonlinear isolator mounted on a nonlinear base. Int. J. Mech. Sci. 115-116, 238–252 (2016)

    Article  Google Scholar 

  10. Chu, F., Zhang, Z.: Bifurcation and chaos in a rub-impact jeffcott rotor system. J. Sound Vib. 210(1), 1–18 (1998)

    Article  Google Scholar 

  11. Von Groll, G., Ewins, D.J.: The harmonic balance method with arclength continuation in rotor/stator contact problems. J. Sound Vib. 241(2), 223–233 (2001)

    Article  Google Scholar 

  12. Dai, W., Yang, J.: Vibration analysis of a rotordynamic system with nonlinear bearing supports. In: 26th International Congress on Sound and Vibration, Montréal, Canada (2019)

    Google Scholar 

  13. Dai, W., Yang, J.: Rotordynamic analysis of a permanent magnet synchronous motor considering nonlinear unbalanced magnetic pull. In: 22nd International Conference on Electrical Machines and Systems, Harbin, China (2019)

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Jian Yang .

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2021 Springer Nature Switzerland AG

About this paper

Check for updates. Verify currency and authenticity via CrossMark

Cite this paper

Dai, W., Yang, J. (2021). Vibration Force Transmissibility of a Rotor-Stator System with Potential Rub-Impact. In: Oberst, S., Halkon, B., Ji, J., Brown, T. (eds) Vibration Engineering for a Sustainable Future. Springer, Cham. https://doi.org/10.1007/978-3-030-46466-0_16

Download citation

  • DOI: https://doi.org/10.1007/978-3-030-46466-0_16

  • Published:

  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-030-46465-3

  • Online ISBN: 978-3-030-46466-0

  • eBook Packages: EngineeringEngineering (R0)

Publish with us

Policies and ethics