Calculation of the Structural Stiffness of Run-flat and Regular Tires by considering Strain Energy
- 8 Downloads
The vertical stiffness of a tire is defined by the ratio of the vertical force to the deflection; it can be expressed as the combination of the structural stiffness and air stiffness. However, the calculation of the structural stiffness alone is challengeable, and therefore this paper presents a new methodology for extracting the structural stiffness from the strain energy of the regular and run-flat tires. In order to verify our proposed method, the applied force-deflection relationship was compared with the calculated force-deflection relationship using the proposed energy method at zero air pressure. Further, the structural stiffness of the inflated regular and run-flat tires was calculated. In addition, we obtained the structural stiffness of the tire components to investigate the effect of each component on the overall structural stiffness of both tires. Finally, we analyzed the vertical and structural stiffness of the run-flat tire when the inflation pressure and the elastic modulus of the components were varied.
Key wordsVertical stiffness Structural stiffness Regular tire Run-flat tire Strain energy Castigliano’s theorem
Unable to display preview. Download preview PDF.
- Bae, J. J., Suh, J. B. and Kang, N. (2015). Structural stiffness of tire calculated from strain energy. Proc. ASME Int. Design Engineering Technical Conf. and Computers and Information in Engineering Conf., Boston, Massachusetts, USA.Google Scholar
- Bareket, Z., Blower, D. F. and MacAdam, C. (2000). Blowout Resistant Tire Study for Commercial Highway Vehicles. UMTRI Technical Report. DTRS57-97-C-0005.Google Scholar
- Horiuchi, K. (2015). U.S. Patent No. 9,090,129. U.S. Patent and Trademark Office.Google Scholar
- Kirby, J. M. (2018). U.S. Patent Application No. 15/549,296.Google Scholar
- KuliKowsKi, K. and Szpica, D. (2014). Determination of directional stiffnesses of vehicles’ tires under a static load operation. Eksploatacja i Niezawodnosc — Maintenance and Reliability 16, 1, 66–72.Google Scholar
- Leister, G. and Hein, H. R. (2012). The tire stiffness index TSI and how to calculate it: A test method for new passenger car tires with run-flat properties. Tire Technology Expo, Cologne, Germany.Google Scholar
- Reddy, J. N. (2002). Energy Principles and Variational Methods in Applied Mechanics. John Wiley & Sons. Hoboken, New Jersey, USA.Google Scholar
- Tomkins, E. (1981). The History of the Pneumatic Tyre. Eastland Press. London, UK.Google Scholar
- Wei, C. and Yang, X. (2016). Static tire properties analysis and static parameters derivation to characterising tire model using experimental and numerical solutions. J. Advances in Vehicle Engineering 2, 1, 1–20.Google Scholar