A model of tyre vibration with stochastic excitation
A model of tyre vibration with stochastic excitation
For vehicle at normal driving conditions and speeds above 30-40 km/h the dominating external noise source is the sound generated by the tyre and road interaction. Previous measurements have shown that there is a strong correlation between the radiated sound pressure and the vibrations of the tyre structure for frequency below approximately 1 kHz. The tyre vibration is also the main source of noise inside many vehicles in this frequency range. It is thus important to develop simple tools that predict the tyres behaviour in this frequency range.
The tyre is modelled as an elemental system, which permits the analysis of the low frequency tyre response when excited by distributed stochastic forces in the contact patch. Although the contact mechanism is generally non-linear, it is assumed here that the tyre is compliant enough for the whole of the contact patch to remain of the same width and to be always in touch with the road. A linear model can then be used to calculate the contact forces from the road roughness and thus calculate the resulting radial velocity of the tyre. A spectral density matrix, derived from a road roughness model, describes the velocities and is used to calculate the expectation of the tyre’s kinetic energy and its sound power radiation.
In the first instance a simple two-dimensional model will be used with a Winkler bedding model of the contact patch to predict the power spectral density of the tyre vibration at different road speeds. This model can also be used to provide an initial estimate of the potential effect of various active control strategies for reducing the tyre vibrations. In particular an optimised feed-forward control formulation can be used to calculate the potential effect of various types of actuators, by calculating the optimal performance with different distributions of secondary force.
International Institute of Acoustics and Vibration
Rustighi, E.
9544ced4-5057-4491-a45c-643873dfed96
Elliott, S.J.
721dc55c-8c3e-4895-b9c4-82f62abd3567
2005
Rustighi, E.
9544ced4-5057-4491-a45c-643873dfed96
Elliott, S.J.
721dc55c-8c3e-4895-b9c4-82f62abd3567
Rustighi, E. and Elliott, S.J.
(2005)
A model of tyre vibration with stochastic excitation.
In Proceedings of the 12th International Congress on Sound and Vibration.
International Institute of Acoustics and Vibration..
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Conference or Workshop Item
(Paper)
Abstract
For vehicle at normal driving conditions and speeds above 30-40 km/h the dominating external noise source is the sound generated by the tyre and road interaction. Previous measurements have shown that there is a strong correlation between the radiated sound pressure and the vibrations of the tyre structure for frequency below approximately 1 kHz. The tyre vibration is also the main source of noise inside many vehicles in this frequency range. It is thus important to develop simple tools that predict the tyres behaviour in this frequency range.
The tyre is modelled as an elemental system, which permits the analysis of the low frequency tyre response when excited by distributed stochastic forces in the contact patch. Although the contact mechanism is generally non-linear, it is assumed here that the tyre is compliant enough for the whole of the contact patch to remain of the same width and to be always in touch with the road. A linear model can then be used to calculate the contact forces from the road roughness and thus calculate the resulting radial velocity of the tyre. A spectral density matrix, derived from a road roughness model, describes the velocities and is used to calculate the expectation of the tyre’s kinetic energy and its sound power radiation.
In the first instance a simple two-dimensional model will be used with a Winkler bedding model of the contact patch to predict the power spectral density of the tyre vibration at different road speeds. This model can also be used to provide an initial estimate of the potential effect of various active control strategies for reducing the tyre vibrations. In particular an optimised feed-forward control formulation can be used to calculate the potential effect of various types of actuators, by calculating the optimal performance with different distributions of secondary force.
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Published date: 2005
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Proceedings of the 12th International Congress on Sound and Vibration (ICSV12), Lisbon, Portugal, 2005-07-11 - 2005-07-14
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Local EPrints ID: 28326
URI: http://eprints.soton.ac.uk/id/eprint/28326
PURE UUID: 5973bc10-7628-4780-941a-f629950d78b9
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Date deposited: 02 May 2006
Last modified: 06 Mar 2024 17:41
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