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.
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References
Clark, S.K. (ed.): Mechanics of Pneumatic Tires. Washington D.C., U.S. Department of Transportation, United States (1981)
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
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
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
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
Institute of Automotive Engineering, Graz University of Technology. http://www.ftg.tugraz.at. Accessed 24 June 2019
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
Rill, G.: Road Vehicle Dynamics, Fundamentals and Modeling. CRC Press/Taylor & Francis Group, Boca Raton/United States (2011). ISBN 978-1-4398-9744-7
Rill, G.: TMeasy Extended Documentation, Version 5.0.1. Technical report, Georg Rill, Regensburg, Germany (2015)
Sbrosi, M.: Experimental analysis of dynamic rolling radius of tyres at high speed. In: Electrification & All-Wheel Drive Congress (EAWD 2019), Graz, Austria (2019)
Russo Spena, M., Timpone, F., Farroni, F.: Virtual testing of advanced driving assistance systems. Int. J. Mech. 9, 300–308 (2015). ISSN 1998-4448
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
Acknowledgement
The authors would like to thank Prof. Georg Rill, OTH Regensburg, for his generous support regarding the tyre model TMeasy.
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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
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DOI: https://doi.org/10.1007/978-3-030-38077-9_214
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