Skip to main content

Experimental Investigation and Semi-physical Modelling of the Influence of Rotational Speed on the Vertical Tyre Stiffness and Tyre Radii

Part of the Lecture Notes in Mechanical Engineering book series (LNME)

Abstract

Development and validation of vehicle dynamics controls and automated driving functions require real-time capable tyre models that are able to consider main influencing parameters at the tested operation condition accurately. In the presented study, experimental investigations with two types of tyres were conducted to quantify the effect of the tyre rotation on the vertical tyre stiffness, the unloaded, static and effective tyre radius. Based on the semi-physical handling tyre model TMeasy, an enhanced modelling approach is presented which is able to consider the rotational speed dependent tyre behaviour in an effective semi-physical and numerically efficient manner. The measurement results of the tyre testing series are analysed and the effects of the tyre rotation are identified. The tested tyres show a nearly linear rotational speed induced increase of the vertical stiffness and a non-linear increase of the unloaded radius. Finally, the performance of the presented enhanced semi-physical model for the vertical tyre force transmission and tyre radii is validated. The results are discussed and an outlook regarding further investigations is given.

Keywords

  • Tyre modelling
  • Semi-physical modelling
  • Influence of tyre rotational speed
  • Vehicle dynamics and handling
  • Experimental investigation
  • Tyre test rig measurements

This is a preview of subscription content, access via your institution.

Buying options

Chapter
USD   29.95
Price excludes VAT (USA)
  • DOI: 10.1007/978-3-030-38077-9_214
  • Chapter length: 10 pages
  • Instant PDF download
  • Readable on all devices
  • Own it forever
  • Exclusive offer for individuals only
  • Tax calculation will be finalised during checkout
eBook
USD   469.00
Price excludes VAT (USA)
  • ISBN: 978-3-030-38077-9
  • Instant PDF download
  • Readable on all devices
  • Own it forever
  • Exclusive offer for individuals only
  • Tax calculation will be finalised during checkout
Softcover Book
USD   599.99
Price excludes VAT (USA)
Hardcover Book
USD   599.99
Price excludes VAT (USA)
Fig. 1.
Fig. 2.
Fig. 3.
Fig. 4.

References

  1. Clark, S.K. (ed.): Mechanics of Pneumatic Tires. Washington D.C., U.S. Department of Transportation, United States (1981)

    Google Scholar 

  2. Enisz, K., Fodor, D., Szalay, I., Kovacs, L.: Reconfigurable real-time hardware-in-the-loop environment for automotive electronic control unit testing and verification. IEEE Instrum. Meas. Mag. 17(4), 31–36 (2014). https://doi.org/10.1109/MIM.2014.6873729

    CrossRef  Google Scholar 

  3. Gruber, P., Sharp, R.S. (eds.): Proceedings of the 4th International Tyre Colloquium, Tyre Models for Vehicle Dynamics Analysis. University of Surrey, Guildford, United Kingdom (2015). ISBN 978-1-84469-032-9

    Google Scholar 

  4. Guo, K., Zhuang, Y., Lu, D., Chen, S., Lin, W.: A study on speed-dependent tyre-road friction and its effect on the force and the moment. Veh. Syst. Dyn. 43(S1), 329–340 (2005). https://doi.org/10.1080/00423110500140815

    CrossRef  Google Scholar 

  5. Guvenc, B.A., Guvenc, L., Karaman, S.: Robust yaw stability controller design and hardware-in-the-loop testing for a road vehicle. IEEE Trans. Veh. Technol. 58(2), 555–571 (2009). https://doi.org/10.1109/TVT.2008.925312

    CrossRef  Google Scholar 

  6. Institute of Automotive Engineering, Graz University of Technology. http://www.ftg.tugraz.at. Accessed 24 June 2019

  7. Karoshi, P., Ager, M., Schabauer, M., Lex, C.: Robust and numerically efficient estimation of vehicle mass and road grade. Advanced Microsystems for Automotive Applications, pp. 87–100. Springer, Cham (2017). https://doi.org/10.1007/978-3-319-66972-4_8

  8. Rill, G.: Road Vehicle Dynamics, Fundamentals and Modeling. CRC Press/Taylor & Francis Group, Boca Raton/United States (2011). ISBN 978-1-4398-9744-7

    CrossRef  Google Scholar 

  9. Rill, G.: TMeasy Extended Documentation, Version 5.0.1. Technical report, Georg Rill, Regensburg, Germany (2015)

    Google Scholar 

  10. Sbrosi, M.: Experimental analysis of dynamic rolling radius of tyres at high speed. In: Electrification & All-Wheel Drive Congress (EAWD 2019), Graz, Austria (2019)

    Google Scholar 

  11. Russo Spena, M., Timpone, F., Farroni, F.: Virtual testing of advanced driving assistance systems. Int. J. Mech. 9, 300–308 (2015). ISSN 1998-4448

    Google Scholar 

  12. Zegelaar, P.W.A.: The dynamic response of tyres to brake torque variations and road unevennesses. Ph.D. thesis, Delft University of Technology, Delft, Netherlands (1998). ISBN: 90-370-0166-1

    Google Scholar 

Download references

Acknowledgement

The authors would like to thank Prof. Georg Rill, OTH Regensburg, for his generous support regarding the tyre model TMeasy.

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Martin Schabauer .

Editor information

Editors and Affiliations

Rights and permissions

Reprints and Permissions

Copyright information

© 2020 Springer Nature Switzerland AG

About this paper

Verify currency and authenticity via CrossMark

Cite this paper

Schabauer, M., Hackl, A., Hirschberg, W., Lex, C. (2020). Experimental Investigation and Semi-physical Modelling of the Influence of Rotational Speed on the Vertical Tyre Stiffness and Tyre Radii. In: Klomp, M., Bruzelius, F., Nielsen, J., Hillemyr, A. (eds) Advances in Dynamics of Vehicles on Roads and Tracks. IAVSD 2019. Lecture Notes in Mechanical Engineering. Springer, Cham. https://doi.org/10.1007/978-3-030-38077-9_214

Download citation

  • DOI: https://doi.org/10.1007/978-3-030-38077-9_214

  • Published:

  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-030-38076-2

  • Online ISBN: 978-3-030-38077-9

  • eBook Packages: EngineeringEngineering (R0)