Abstract
A new simulation methodology was proposed for predicting the temperature distribution and the rolling resistance of a passenger car tire with consideration of the thermo-mechanical characteristics of the cap ply. By combining the tensile test data and the shrinkage test data of Nylon 6.6 cap ply and Hybrid cap ply, the stress-strain-temperature curves were obtained. Then, these curves were implemented in an ABAQUS user subroutine. A deformation analysis and a thermal analysis were iteratively conducted until the temperature distribution reached a stable distribution. Then, the hysteretic loss, the rolling resistance, and the rolling resistance coefficient were estimated. Compared to experimental data available in the literature, the estimated rolling resistance coefficient was within a plausible range and showed a similar trend as the speed increased. It also showed that Nylon 6.6 cap ply and Hybrid cap ply reduced the rolling resistance coefficient of the tire with no cap ply at the speed of 160 km/h from 0.015 to 0.010 and to 0.009, respectively.
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References
Aldhufairi, H. S. and Essa, K. (2019). Tire rolling-resistance computation based on material viscoelasticity representation. Advances in Automotive Engineering 1, 2, 167–183.
Cho, J., Lee, S. and Jeong, H. Y. (2015). Finite element analysis of a tire using an equivalent cord model. Finite Elements in Analysis and Design, 105, 26–32.
Cho, J. R., Lee, H. W., Jeong, W. B., Jeong, K. M. and Kim, K. W. (2013). Numerical estimation of rolling resistance and temperature distribution of 3-D periodic patterned tire. Int. J. Solids and Structures 50, 1, 86–96.
Ghosh, S. (2011). Investigation on Role of Fillers on Viscoelastic Properties of Tire Tread Compounds. Ph. D. Dissertation. Maharaja Sayajirao University of Baroda, Gujarat, India.
Guo, M., Li, X., Ran, M., Zhou, X. and Yan, Y. (2020). Analysis of contact stresses and rolling resistance of truck-bus tyres under different working conditions. Sustainability 12, 24, 10603.
Heisler, H. (2002). Advanced Vehicle Technology. 2nd edn. Reed Educational and Professional Publishing Ltd., Oxford, UK.
Kondé, A. K., Rosu, I., Lebon, F., Brardo, O. and Devésa, B. (2013). Thermomechanical analysis of an aircraft tire in cornering using coupled ale and lagrangian formulations. Central European J. Engineering 3, 2, 191–205.
Korunović, N., Fragassa, C., Marinković, D., Vitković, N. and Trajanović, M. (2019). Performance evaluation of cord material models applied to structural analysis of tires. Composite Structures, 224, 111006.
Lin, Y. J. and Hwang, S. J. (2004). Temperature prediction of rolling tires by computer simulation. Mathematics and Computers in Simulation 67, 3, 235–249.
McAllen, J., Cuitino, A. M. and Sernas, V. (1996a). Numerical investigation of the deformation characteristics and heat generation in pneumatic aircraft tires: Part I. Mechanical modeling. Finite Elements in Analysis and Design 23, 2–4, 241–263.
McAllen, J., Cuitino, A. M. and Sernas, V. (1996b). Numerical investigation of the deformation characteristics and heat generation in pneumatic aircraft tires: Part II. Thermal modeling. Finite Elements in Analysis and Design 23, 2–4, 265–290.
Mozharovskii, V. V., Shil’ko, S. V., Anfinogenov, S. B. and Khot’ko, A. V. (2007). Determination of resistance to rolling of tires in dependence on operating conditions. Part 1. Method of multifactorial experiment. J. Friction and Wear 28, 2, 154–161.
Namjoo, M., Golbakhshi, H. and Momeni-Khabisi, H. (2016). An experimentally validated FE analysis for transient thermal behavior of the rolling tire. Int. J. Automotive Engineering 6, 3, 2111–2120.
Redrouthu, B. M. and Das, S. (2014). Tyre Modelling for Rolling Resistance. M. S. Thesis. Chalmers University of Technology, Göteborg, Sweden.
Simal, A. L. and Martin, A. R. (1998). Structure of heat-treated Nylon 6 and 6.6 fibers. I. The shrinkage mechanism. J. Applied Polymer Science 68, 3, 441–452.
Smith, R. E., Tang, T., Johnson, D., Ledbury, E., Goddette, T. and Felicelli, S. D. (2012). Simulation of thermal signature of tires and tracks. NDIA Ground Vehicle Systems Engineering and Technology Symp. (GVSETS), Modeling & Simulation, Testing and Validation (MSTV) Mini-Symp., Troy, Michigan, USA.
Song, T. S., Lee, J. W. and Yu, H. J. (1998). Rolling resistance of tires-An analysis of heat generation. SAE Trans., 507–511.
Tang, T., Johnson, D., Smith, R. E. and Felicelli, S. D. (2014). Numerical evaluation of the temperature field of steady-state rolling tires. Applied Mathematical Modelling 38, 5–6, 1622–1637.
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The financial support and test data for nylon 6.6 and hybrid cap plies provided by Hyosung are highly appreciated.
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Park, JW., Jeong, HY. Finite Element Modeling for the Cap Ply and Rolling Resistance of Tires. Int.J Automot. Technol. 23, 1427–1436 (2022). https://doi.org/10.1007/s12239-022-0125-8
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DOI: https://doi.org/10.1007/s12239-022-0125-8