Simple Models for the Dynamic Modeling of Rotating Tires

Abstract

Abstract. Large Finite Element (FE) models of tires are currently used to predict low frequency behavior and to obtain dynamic model coefficients used in multi-body models for riding and comfort. However, to predict higher frequency behavior, which may explain irregular wear, critical rotating speeds and noise radiation, FE models are not practical. Detailed FE models are not adequate for optimization and uncertainty predictions either, as in such applications the dynamic solution must be computed a number of times. Therefore, there is a need for simpler models that can capture the physics of the tire and be used to compute the dynamic response with a low computational cost. In this paper, the spectral (or continuous) element approach is used to derive such a model. A circular beam spectral element that takes into account the string effect is derived, and a method to simulate the response to a rotating force is implemented in the frequency domain. The behavior of a circular ring under different internal pressures is investigated using modal and frequency/wavenumber representations. Experimental results obtained with a real untreaded truck tire are presented and qualitatively compared with the simple model predictions with good agreement. No attempt is made to obtain equivalent parameters for the simple model from the real tire results. On the other hand, the simple model fails to represent the correct variation of the quotient of the natural frequency by the number of circumferential wavelengths with the mode count. Nevertheless, some important features of the real tire dynamic behavior, such as the generation of standing waves and part of the frequency/wavenumber behavior, can be investigated using the proposed simplified model.

Review of Response and Damage of Linear and Nonlinear Systems under Multiaxial Vibration

“…Because of these limitations, estimating and modeling vibration fatigue for components in higher frequency ranges can be an arduous task. High-frequency dynamic loading, especially random loading, is a major contributor to fatigue in vehicular components [19]. These high frequencies can easily generate other high frequencies caused by rotating speeds, random vibration, and noise radiation that can potentially augment the severity of damages.…”

Building Spectral Element Dynamic Matrices Using Finite Element Models of Waveguide Slices and Elastodynamic Equations

“…Using the first equation of the condensed dynamic stiffness matrix in Eqs (3), (7) and (8), it is possible to write:…”

“…Results are compared with results from a standard FE analysis, thus validating the method. The proposed method is applicable to more complex structures such as car tires [6,7] and ducts. Moreover, because the spectral dynamic matrix is obtained, instead of the standard wave propagation solution, the proposed spectral elements can be easily combined with standard finite elements using a mobility approach.…”

In-plane vibration response of time and frequency domain with rigid-elastic coupled tire model with continuous sidewall

“…On the other hand, the availability of powerful computation proposes the development of off-road tire models forward on the detail tire model, such as nonlinear finite element method, 11 ANCF finite element, 12 wave finite element, 13 and spectral element formulation. 14 Coupled with finite element road model, 7 detail tire mode can be used to analyze the coupled vibration, contact stress, and wear of tire and road, while the comprehensive computation and the difficultly obtained material parameters limit the vehicle simulation appliance.…”