Skip to main content

Research on Vibration Responses of Gear System with Backlash

  • Conference paper
  • First Online:
Book cover Recent Developments in Mechatronics and Intelligent Robotics (ICMIR 2019)

Part of the book series: Advances in Intelligent Systems and Computing ((AISC,volume 1060))

Included in the following conference series:

Abstract

Gear transmission system is widely used in mechanical systems, such as joints in manipulator system. However, the vibration and noise caused by the backlash in gear pair are significant to the manipulator system. The effects of backlash on vibration characteristics the gear-rotor system are investigated numerically. First, the dynamic model of gear system is established considering the variable meshing stiffness and damping. Then, the dimensionless method is used and the dimensionless differential equations are obtained and then calculated numerically. Finally, a numerical example is presented to study the effects of backlash on the vibration of the gear-rotor system. The results indicate that the vibration characteristics of gear mechanism with backlash are significant, which will provide the basis for the design and control of manipulator system.

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 129.00
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 169.99
Price excludes VAT (USA)
  • Compact, lightweight 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. Theodossiades S, Natsiavas S. Non-linear dynamics of gear-pair systems with periodic stiffness and backlash. J Sound Vib. 2000;229(2):287–310.

    Article  Google Scholar 

  2. Han J, Jiang Z, Liu X. A study on effects of gear backlash on differential vibration. Adv Mater Res. 2014;945–949:730–4.

    Google Scholar 

  3. Halse CK, Wilson RE, Bernardo MD, Homer ME. Coexisting solutions and bifurcations in mechanical oscillators with backlash. J Sound Vib. 2007;305:854–85.

    Article  MathSciNet  Google Scholar 

  4. Walha L, Fakhfakh T, Haddar M. Nonlinear dynamics of a two-stage gear system with mesh stiffness fluctuation, bearing flexibility and backlash. Mech Mach Theory. 2009;44(2009):1058–69.

    Article  Google Scholar 

  5. Kahraman A, Singh R. Non-linear dynamic of a spur gear pair. J Sound Vib. 1990;142(1):49–75.

    Article  Google Scholar 

  6. Kahraman A, Singh R. Interactions between time-varying mesh stiffness and clearance non-linearities in a geared system. J Sound Vib. 1991;146(1):135–56.

    Article  Google Scholar 

  7. Kahraman A, Singh R. Non-linear dynamic of a geared rotor bearing system with multiple clearance. J Sound Vib. 1991;144(3):469–506.

    Article  Google Scholar 

  8. Padmanabhan C, Singh R. Spectral coupling issues in a two-degree-of freedom system with clearance non-linearities. J Sound Vib. 1992;155(2):209–30.

    Article  Google Scholar 

  9. Rook TE, Singh R. Dynamic analysis of a reverse-idler gear pair with concurrent clearance. J Sound Vib. 1995;182(2):303–22.

    Article  Google Scholar 

  10. Zhang H, Wang R, Chen Z, Wei C, Zhao Y, You B. Nonlinear dynamic analysis of a gear-rotor system with coupled multi-clearance. J Vib Shock. 2015;34(8):145–50.

    Google Scholar 

  11. Zhang S. Research on the nonlinear vibration characteristics of spiral bevel gears in propulsion shaft of azimuth thrusters. Harbin Institute of Technology, Master thesis, 2017.

    Google Scholar 

Download references

Acknowledgements

This work was supported by the National Natural Science Foundation of China (Grant Nos. 51775128, 51305093) and the Scientific Research Innovation Foundation of Weihai, China.

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Zheng Feng Bai .

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2020 Springer Nature Singapore Pte Ltd.

About this paper

Check for updates. Verify currency and authenticity via CrossMark

Cite this paper

Bai, Z.F., Jiang, X., Li, F., Zhao, J.J. (2020). Research on Vibration Responses of Gear System with Backlash. In: Patnaik, S., Wang, J., Yu, Z., Dey, N. (eds) Recent Developments in Mechatronics and Intelligent Robotics. ICMIR 2019. Advances in Intelligent Systems and Computing, vol 1060. Springer, Singapore. https://doi.org/10.1007/978-981-15-0238-5_6

Download citation

Publish with us

Policies and ethics