Validation of a belt model for prediction of hub forces from a rolling tire

Lecomte, Christophe, Graham, W. R. and O’Boy, D. J. (2009) Validation of a belt model for prediction of hub forces from a rolling tire Tire Science and Technology, 37, (2), pp. 62-102. (doi:10.2346/1.3130984).


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An integrated model is under development which will be able to predict the interior noise due to the vibrations of a rolling tire structurally transmitted to the hub of a vehicle. Here, the tire belt model used as part of this prediction method is first briefly presented and discussed, and it is then compared to other models available in the literature. This component will be linked to the tread blocks through normal and tangential forces and to the sidewalls through impedance boundary conditions. The tire belt is modeled as an orthotropic cylindrical ring of negligible thickness with rotational effects, internal pressure, and prestresses included. The associated equations of motion are derived by a variational approach and are investigated for both unforced and forced motions. The model supports extensional and bending waves, which are believed to be the important features to correctly predict the hub forces in the midfrequency (50–500 Hz) range of interest. The predicted waves and forced responses of a benchmark structure are compared to the predictions of several alternative analytical models: two three dimensional models that can support multiple isotropic layers, one of these models include curvature and the other one is flat; a one-dimensional beam model which does not consider axial variations; and several shell models. Finally, the effects of internal pressure, prestress, curvature, and tire rotation on free waves are discussed.

Item Type: Article
Digital Object Identifier (DOI): doi:10.2346/1.3130984
ISSNs: 0090-8657 (print)
Keywords: tire belt model, hub forces, interior tire noise, shell theories, three dimensional cylindrical model, three dimensional plate model, one-dimensional model, rotating tire, prestress, orthotropy
Organisations: Computational Engineering & Design Group
ePrint ID: 342602
Date :
Date Event
June 2009Published
Date Deposited: 10 Sep 2012 11:57
Last Modified: 17 Apr 2017 16:39
Further Information:Google Scholar

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