A Thermomechanical Model to Predict the Temperature Distribution of Steady State Rolling Tires

Abstract

The thermomechanical behavior of pneumatic tires is a highly complex transient phenomenon that, in general, requires the solution of a dynamic nonlinear coupled thermoviscoelasticity problem with heat sources resulting from internal dissipation and contact and friction. This highly complex and nonlinear system requires indepth knowledge of the geometry, material properties, friction coefficients, dissipation mechanisms, convective heat transfer coefficients, and many other aspects of tire design that are not fully understood at the present time. In this paper, a simplified approach to modeling this system that couples all of these phenomena in a straightforward manner is presented in order to predict temperature distributions in static and rolling tires. The model is based on a one-way coupling approach, wherein the solution of a mechanical rolling contact problem (with friction and viscoelastic material properties) provides heat source terms for the solution of a thermal problem. The thermal solution is based on the thermodynamics of irreversible processes and is performed on the deformed tire configuration. Several numerical examples are provided to illustrate the performance of the method.

A Review of Patents in Tyre Cooling

“…Some of the experimental studies looked at the effects of operating conditions on the tyre thermal behaviour and showed that the vehicle load has the most pronounced effect on tyre temperature in comparison to speed, inflation pressure and slip angle [9]. Other studies examined the temperature distributions in the tyres for various structures, materials and thermal characteristics of the tyre [10][11][12][13][14].…”

Thermomechanical analysis of an aircraft tire in cornering using coupled ale and lagrangian formulations

“…However, determining the thermomechanical behavior of vehicle tires in general, and of aircraft tires in particular, is a highly complex task requiring much hard work due to the kind of problem to be solved, i.e., a non-linear dynamic thermo-viscoelastic coupling problem with heat sources resulting both from internal (due to the viscoelasticity) volumetric sources and superficial (due to the friction) sources in a very complex structure requiring detailed knowledge of the geometry, the properties of the materials, the friction coefficient, the dissipative mechanisms, the thermal coefficients and other parameters. Several experimental [6,7] and numerical [8][9][10][11][12][13][14] attempts have been made on these lines, and the authors have used various simplified models and methods to reduce the complexity of the analysis, depending on the accuracy required, the nature of the problem under investigation, the type of tire involved, the experimental conditions and the computational resources available. A simplified approach to the thermomechanical analysis of a tire is presented here, where the mechanical model previously described in [4] is extended to include the thermal effects.…”

Design, modeling, and analysis of a high performance piezoelectric energy harvester for intelligent tires

“…The temperature distribution of rolling tires has been studied by a number of researchers . It is proved that the increase in ambient temperature and vehicle velocity leads to the tire temperature rise . In addition, temperature variations will result in a significant nonlinear behavior in the piezoelectric material coefficients in piezoelectric lead zirconate titanate (PZT) ceramics, hence will affect the overall performance of strain‐based PEHs.…”