Citation

Pesterev AV, Bergman LA, Tan CA. Proc. Inst. Mech. Eng. Pt. D J. Automobile Eng. 2004; 218(4): 373-384.

Copyright

(Copyright © 2004, Institution of Mechanical Engineers, Publisher SAGE Publishing)

DOI

10.1243/095440704773599890

PMID

unavailable

Abstract

A technique to assess the dynamic tyre forces arising after passing road surface irregularities by a vehicle modelled as a general linear multiple-degrees-of-freedom system is presented. The equations governing vibration of a vehicle moving along an uneven profile are, first, transformed to the state-space form and, then, to a system of uncoupled first-order complex differential equations. For a local roadway irregularity described functionally, solutions of all equations are found analytically and expressed in terms of a unique function of one complex variable, the so-called pothole dynamic amplification factor (DAF). The problem is shown to be decomposed into separate calculating vehicle- specific data, which are easily constructed in terms of physical and modal vehicle characteristics, and the DAF function, which does not depend on the vehicle model. The dynamic tyre forces are obtained then by simple arithmetic manipulation of the complex numbers obtained. The technique discussed is not specific to a particular vehicle model or an irregularity shape. The discussion is amply illustrated by examples of the application of the technique to the calculation of the tyre forces for three simple vehicle models.

Language: en