Skip to main content

A Non-linear Model of Rubber Shear Springs Validated by Experiments

  • Conference paper
  • First Online:
Nonlinear Dynamics of Structures, Systems and Devices

Abstract

Vibrating flip-flow screens provide an effective solution for screening highly viscous or fine materials. However, only linear theory has been applied to their design. Yet, to understand deficiencies and to improve performance an accurate model especially of the rubber shear springs equipped in screen frames is critical for its dynamics to predict, e.g. frequency- and amplitude-dependent behaviour. In this chapter, the amplitude dependency of the rubber shear spring is represented by employing a friction model in which parameters are fitted to an affine function rather constant values used for the classic Berg’s friction model; the fractional derivative model is used to describe its frequency dependency and compared to conventional dashpot and Maxwell models with its elasticity being represented by a non-linear spring. The experimentally validated results indicate that the proposed model with a non-linear spring, friction and fractional derivative model is able to more accurately describe the dynamic characteristics of a rubber shear spring compared with other models.

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 219.00
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 279.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book
USD 279.99
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. Xiong, X., Niu, L., Gu, C., Wang, Y.: Vibration characteristics of an inclined flip-flow screen panel in banana flip-flow screens. J. Sound Vib. 411, 108–128 (2017)

    Article  ADS  Google Scholar 

  2. Akbari, H., Ackah, L., Mohanty, M.: Performance optimization of a new air table and flip-flow screen for fine particle dry separation. Int. J. Coal Preparation Util. 0, 1–23 (2017)

    Google Scholar 

  3. Gong, S., Wang, X., Oberst, S.: Non-linear analysis of vibrating flip-flow screens. MATEC Web of Conferences, vol. 221, 04007 (2018)

    Article  Google Scholar 

  4. Knothe, K.L., Grassie, S.L.: Modelling of railway track and vehicle/track interaction at high frequencies. Vehicle Syst. Dyn. 22(3–4), 209–262 (1993)

    Article  Google Scholar 

  5. Babitsky, V.I., Veprik, A.M.: Universal bumpered vibration isolator for severe environment. J. Sound Vib. 218(2), 269–292 (1998)

    Article  ADS  Google Scholar 

  6. Fenander, A.: Frequency dependent stiffness and damping of railpads. Proc. Inst. Mech. Eng. F J. Rail Rapid Transit. 211(1), 269–292 (1997)

    Article  Google Scholar 

  7. Berg, M.: A non-linear rubber spring model for rail vehicle dynamics analysis. Vehicle Syst. Dyn. 30(3–4), 197–212 (1998)

    Article  Google Scholar 

  8. Sjöberg, M.: Nonlinear isolator dynamic at finite deformations: an effective hyperelastic, fractional derivative, generalized friction model. Nonlin. Dyn. 33, 323–336 (2003)

    Article  Google Scholar 

  9. Zhu, H., Yang, J., Zhang, Y., Feng, X.: A novel air spring dynamic model with pneumatic thermodynamics, effective friction and viscoelastic damping. J. Sound Vib. 408, 87–104 (2017)

    Article  ADS  Google Scholar 

  10. Sedlaczek, K., Dronka, S., Rauh, J.: Advanced modular modelling of rubber bushing for vehicle simulations. Vehicle Syst. Dyn. 49, 741–759 (2011)

    Article  ADS  Google Scholar 

  11. Shi, H., Wu, P.: A nonlinear rubber spring model containing fractional derivatives for use in railroad vehicle dynamic analysis. Proc. Inst. Mech. Eng. F J. Rail Rapid Transit. 230(7), 1745–1759 (2016)

    Article  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Sebastian Oberst .

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2020 Springer Nature Switzerland AG

About this paper

Check for updates. Verify currency and authenticity via CrossMark

Cite this paper

Gong, S., Oberst, S., Wang, X. (2020). A Non-linear Model of Rubber Shear Springs Validated by Experiments. In: Lacarbonara, W., Balachandran, B., Ma, J., Tenreiro Machado, J., Stepan, G. (eds) Nonlinear Dynamics of Structures, Systems and Devices. Springer, Cham. https://doi.org/10.1007/978-3-030-34713-0_32

Download citation

Publish with us

Policies and ethics