Skip to main content
Skip main navigation
No Access

Beam model for tyre tread block dynamics

Published Online:pp 312-333https://doi.org/10.1504/IJVNV.2013.055812

The tyre provides the only connection between vehicle and road. Therefore, tyre performance is essential for the passengers’ safety and comfort. Especially in winter the tyre can improve the vehicle handling and safety. For that reason, the winter tyre development gains more and more attention. Due to the special environmental demands for winter tyre tests the development process for winter tyres takes several years. For reducing the development costs and time the relevant friction influencing factors must be understood. Therefore, we studied the contact behaviour of single tread blocks experimentally and by simulation. In this publication the authors set up a siped tyre tread block model which can be used for studying the interaction between tread block and road surface. The model is based on Timoshenko’s beam theory and can display several different effects like stick-slip vibrations or contact between tread block elements.

Keywords

winter tyre, tread block, Timoshenko, beam, friction, stick-slip, ice, finite difference method, FDM, vibration, contact, viscoelacity, damping, Kelvin-Voigt, rheological model, rubber, tyre

References

  • 1. Bickford, W.B. (1982). ‘A consistent higher order beam theorie’. in Developments in Theoretical and Applied Mechanics. 11, Selected papers of the 11th Southeastern Conference on Theoretical and Applied Mechanics Google Scholar
  • 2. Bishop, R.E.D. , Price, W.G. (1978). ‘The vibration characteristics of a beam with an axial force’. Journal of Sound and Vibration. 59, 2, 237-244 Google Scholar
  • 3. Chang, Y.P. (2006). ‘Tyre vertical transmissibility transient response analysis’. International Journal of Vehicle Noise and Vibration. 2, 3, 191-208 AbstractGoogle Scholar
  • 4. Cowper, G-R. (1966). ‘The shear coefficient in timoshenko’s beam theory’. Journal of Applied Mechanics. 33, 2, 335-340 Google Scholar
  • 5. Gere, J. , Timoshenko, S. (1999). Mechanics of Materials. Cheltenham, UK:Stanley Thornes Google Scholar
  • 6. Gross, D. , Hauger, W. , Wriggers, P. (2009). Technische Mechanik Band 4: Hydromechanik, Elemente der Höheren Mechanik, Numerische Methoden. 7, auflage ed., Berlin Heidelberg, German:Springer-Verlag Google Scholar
  • 7. Hajianmaleki, M. , Qatu, M.S. (2008). ‘A rigorous beam model for static and vibration analysis of generally laminated composite thick beams and shafts’. International Journal of Vehicle Noise and Vibration. 8, 2, 166-184 Google Scholar
  • 8. Kendziorra, N. , Wies, P.M.B. (2007). ‘Verschiedene Aspekte der Reibdynamik am Fahrzeugreifen’. Nichtlineare Schwingungen, Reibung und Kontaktmechanik. 2022, VDI-Berichte, 1-19, German Google Scholar
  • 9. Lindner, M. (2005). Experimentelle und theoretische Untersuchungen zur Gummireibung an Profilklotzen und Dichtungen. 4, auflage ed., Düsseldorf:VDI Verlag GmbH , German Google Scholar
  • 10. Mayer, G. , van der Sluis, S. , Steinauer, B. (2002). Research, Road Construction and Traffic Engineering: Grip Level of Road Surfaces. 841, German Government Department of Traffic, Construction and Housing, 239-254, German Google Scholar
  • 11. Pinnington, R.J. , Briscoe, A.R. (2002). ‘A wave model for a pneumatic tyre belt’. Journal of Sound and Vibration. 253, 5, 941-959 Google Scholar
  • 12. Pinnington, R.J. (2002). ‘Radial force transmission to the hub from an unloaded stationary tyre’. Journal of Sound and Vibration. 253, 5, 961-983 Google Scholar
  • 13. Popp, K. , Schiehlen, W. (1993). Fahrzeugdynamik. Stuttgart:B.G. Teubner , in German Google Scholar
  • 14. Ripka, S. , Mihajlovic, M. , Wangenheim, M. , Wallaschek, J. , Wiese, K. , Wies, B. (2009a). ‘Tread block mechanics on ice and snow surfaces studied with a new high speed linear friction test rig’. 2086, 12. Int. Congress on Tire, Chassis and Road, VDI-Berichte, 239-254 Google Scholar
  • 15. Ripka, S. , Gäbel, G. , Wangenheim, M. (2009b). ‘Dynamics of a siped tire tread block-experiment and simulation’. Tire, Science and Technology, TSTCA. 37, 4, 323-339 Google Scholar
  • 16. Ripka, S. , Wangenheim, M. , Wiese, K. , Wies, B. (2010). ‘Laboratory observations of the influence of snow and ice tracks on tire tread block friction’. in Proceedings of the 12th Int. Conference on the Physics and Chemistry of Ice. Sapporo, Japan, 29-36 Google Scholar
  • 17. Ripka, S. , Zimmermann, M. , Wallaschek, J. (2011). ‘Modeling tire tread block dynamics by a timoshenko beam model’. Proceedings of the ASME 2011 International Mechanical Engineering Congress & Exposition, IMECE2011-63367 (Noise, Vibration & Reliability in Vehicle Systems). Denver, Colorado, USA, 1-10, Order No.: I881DV, S Google Scholar
  • 18. Ripka, S. , Lind, H. , Wangenheim, M. , Wallaschek, J. , Wiese, K. , Wies, B. (2012). ‘Investigation of friction mechanisms of siped tire tread blocks on snowy and icy surfaces’. Tire, Science and Technology, TSTCA. 40, 1, 1-24 Google Scholar
  • 19. Timoshenko, S.P. (1921). ‘On the correction for shear of the differential equation for transverse vibrations of prismatic bars’. Philosophical Magazine Series 6. 41, 744-746 Google Scholar
  • 20. Topp, A. , Kendziorra, N. , Wies, B. , Lange, H. (2008). ‘Braking force transfer capabilities of tires on wet roads’. 17th EVU Conference, Nice Google Scholar
  • 21. Zibdeh, H.S. , Abu-Alshaikh, I. (2008). ‘Vibration response of a beam with different appendages subjected to a moving system’. International Journal of Vehicle Noise and Vibration. 4, 2, 93-106 AbstractGoogle Scholar