Editorial Type:
Article Category: Research Article
 | 
Online Publication Date: 01 Sept 2007

A Finite Element Approach to the Transient Dynamics of Rolling Tires with Emphasis on Rolling Noise Simulation4

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Page Range: 165 – 182
DOI: 10.2346/1.2768975
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Abstract

The sound radiating from rolling tires is the most important source of traffic noise in urban regions. In this contribution a detailed finite element approach for the dynamics of tire/road systems is presented with emphasis on rolling noise prediction. The analysis is split into sequential steps, namely, the nonlinear analysis of the stationary rolling problem within an arbitrary Lagrangian Eulerian framework, and a subsequent analysis of the transient dynamic response due to the excitation caused by road surface roughness. Here, a modal superposition approach is employed using complex eigenvalue analysis. Finally, the sound radiation analysis of the rolling tire/road system is performed.

Keywords: rolling tire noise; finite element methods; arbitrary Lagrangian Eulerian; gyroscopic eigenvalue problem; road surface texture; modal superposition; operational vibration; sound radiation
Copyright: The Tire Society
FIG. 1.
FIG. 1.

Mapping between base, deformed current, and rotated reference configuration in arbitrary Lagrangian Eulerian description.

FIG. 2.
FIG. 2.

Cross section of tire model.

FIG. 3.
FIG. 3.

Simulation of tire vibration holography.

FIG. 7.
FIG. 7.

Some eigenmodes at low frequencies.

FIG. 4.
FIG. 4.

Gyroscopic split of vibration into waves.

FIG. 5.
FIG. 5.

Influence of speed.

FIG. 6.
FIG. 6.

Histogram of eigenvalue distribution.

FIG. 8.
FIG. 8.

Some eigenmodes at high frequencies.

FIG. 9.
FIG. 9.

Shaker test setup.

FIG. 10.
FIG. 10.

Transfer functions of measurement (top) and simulation (bottom).

FIG. 11.
FIG. 11.

Texture measurement and power spectral density.

FIG. 12.
FIG. 12.

Simulation setup with tire model on roller drum test-rig.

FIG. 13.
FIG. 13.

Snapshots of rolling tire dynamics.

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