Abstract
To address various tire vibration characteristics such as noise, vibration, and harshness, it is necessary to study the tire dynamic performance. In this paper, we focus on investigating the influence of static loading on radial (in-plane) and bending modes and their frequencies of a tire. To model the effect, we first identify important tire parameters, termed as modal parameters, based on three-dimensional ring model and three-dimensional finite element results under free-free conditions without and with temperature variations. After finding the parameters, we have used three-dimensional flexible ring model in which both in-plane and bending modes are considered under static loading. When load is applied, tire behavior changes and it becomes more stiffer. Thus, it fixes the tire to the road and increases the contact region. In this paper, we define this contact region over θf < θ < 2π and the region 0 < θ < θf can be considered free-free. Subsequently, we assume the expression of radial and bending modes in terms of generalized coordinates satisfying the above boundary conditions and obtain kinetic and potential energy by integrating it over 0 < θ < θf. The unknown coordinate is obtained by satisfying the governing conditions. Finally, corresponding mode shapes and frequencies are obtained. The assumed modes and frequencies are validated with three-dimensional finite element model using abaqus. The same procedure can be extended to compute modes and frequencies as a function of temperature under static loading for a constant tire pressure.
