A one-dimensional wave equation of an in"nite #attened tyre belt is generated. The belt vibration is controlled by bending, tension, shear and the sidewall sti!ness. The dispersion relations for two waves in the belt are calculated and used to "nd both the input impedance and attenuation on a tyre b
A wave model of a circular tyre. Part 1: belt modelling
β Scribed by R.J. Pinnington
- Publisher
- Elsevier Science
- Year
- 2006
- Tongue
- English
- Weight
- 416 KB
- Volume
- 290
- Category
- Article
- ISSN
- 0022-460X
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β¦ Synopsis
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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