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A wave model for a circular tyre. Part 1: belt modelling

A wave model for a circular tyre. Part 1: belt modelling
A wave model for a circular tyre. Part 1: belt modelling
The equations of motion of a curved tyre belt are derived for one-dimensional waves propagating around the belt and a standing wave across the belt. The effects of curvature, shear stiffness, rotary inertia, tension, rotational speed and air pressure are included. These are combined to give a sixth-order wave equation, the solution of which gives three pairs of wavenumber as a function of frequency. The application of the boundary conditions at the contact leads to the input and transfer mobilities for both in-plane and out of plane excitation. Observed are: low-frequency rigid-body modes, belt bending modes and in-plane ring modes. At high frequencies only travelling waves occur.
0022-460X
101-132
Pinnington, R.J.
8c573d68-9de6-46df-95a4-23130f4fac9f
Pinnington, R.J.
8c573d68-9de6-46df-95a4-23130f4fac9f

Pinnington, R.J. (2006) A wave model for a circular tyre. Part 1: belt modelling. Journal of Sound and Vibration, 290 (1-2), 101-132. (doi:10.1016/j.jsv.2005.03.023).

Record type: Article

Abstract

The equations of motion of a curved tyre belt are derived for one-dimensional waves propagating around the belt and a standing wave across the belt. The effects of curvature, shear stiffness, rotary inertia, tension, rotational speed and air pressure are included. These are combined to give a sixth-order wave equation, the solution of which gives three pairs of wavenumber as a function of frequency. The application of the boundary conditions at the contact leads to the input and transfer mobilities for both in-plane and out of plane excitation. Observed are: low-frequency rigid-body modes, belt bending modes and in-plane ring modes. At high frequencies only travelling waves occur.

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Published date: February 2006

Identifiers

Local EPrints ID: 28596
URI: http://eprints.soton.ac.uk/id/eprint/28596
ISSN: 0022-460X
PURE UUID: 37bca74c-cefe-412a-bda6-ab96aa1c0624

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Date deposited: 02 May 2006
Last modified: 15 Mar 2024 07:25

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Author: R.J. Pinnington

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