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A particle-envelope surface model for road–tyre interaction

A particle-envelope surface model for road–tyre interaction
A particle-envelope surface model for road–tyre interaction
Due to concern over the environmental impact of the noise and energy consumption of road transportation a line of research is developing for modelling road–tyre interaction i.e. vehicle vibration, tyre noise and friction. Although models for tyres, radiation, friction and contact have been made there is not yet a single surface model for all the interactions. Thus an algebraic model of a general surface is presented here to cover the full wavelength range for road–tyre interaction. Within this range there are particles of different orders of magnitude e.g. atoms, crystals, and stones, arranged in what are called roughness orders representing a size distribution of the particles. Using measured road profile data in the range of about 100 m to 10?4 m, a single roughness order is modelled using two types of sine-wave series. A truncated Fourier series describes the particle shapes and the envelope of particle peaks as a truncated Weierstrass–Mandelbrot function. The modelling is not just a mathematical fit but is based on the physical structure and formation processes, and includes asymmetry between the upper and lower surfaces due to wear. By assuming that similar roughness order also exist at smaller length scales a surface description can be assembled for the full bandwidth for all interaction mechanisms. The modelled surface is given as a profile and in three dimensions.
surface geometry, fractals, particles, road-tyre noise, friction, wear
0020-7683
546-555
Pinnington, Roger J.
68ae7cc1-d0f7-4286-bd59-8c19569c4c4d
Pinnington, Roger J.
68ae7cc1-d0f7-4286-bd59-8c19569c4c4d

Pinnington, Roger J. (2012) A particle-envelope surface model for road–tyre interaction. International Journal of Solids and Structures, 49 (3-4), 546-555. (doi:10.1016/j.ijsolstr.2011.10.022).

Record type: Article

Abstract

Due to concern over the environmental impact of the noise and energy consumption of road transportation a line of research is developing for modelling road–tyre interaction i.e. vehicle vibration, tyre noise and friction. Although models for tyres, radiation, friction and contact have been made there is not yet a single surface model for all the interactions. Thus an algebraic model of a general surface is presented here to cover the full wavelength range for road–tyre interaction. Within this range there are particles of different orders of magnitude e.g. atoms, crystals, and stones, arranged in what are called roughness orders representing a size distribution of the particles. Using measured road profile data in the range of about 100 m to 10?4 m, a single roughness order is modelled using two types of sine-wave series. A truncated Fourier series describes the particle shapes and the envelope of particle peaks as a truncated Weierstrass–Mandelbrot function. The modelling is not just a mathematical fit but is based on the physical structure and formation processes, and includes asymmetry between the upper and lower surfaces due to wear. By assuming that similar roughness order also exist at smaller length scales a surface description can be assembled for the full bandwidth for all interaction mechanisms. The modelled surface is given as a profile and in three dimensions.

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More information

Published date: 2012
Keywords: surface geometry, fractals, particles, road-tyre noise, friction, wear
Organisations: Dynamics Group

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Local EPrints ID: 353544
URI: http://eprints.soton.ac.uk/id/eprint/353544
ISSN: 0020-7683
PURE UUID: 2a3009f9-8043-4aa0-8b9e-73c626cc2c8a

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Date deposited: 10 Jun 2013 08:53
Last modified: 14 Mar 2024 14:07

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Author: Roger J. Pinnington

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