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Title: The simulation of in-plane tyre modal behaviour: a broad modal range comparison between analytical and discretised modelling approaches
Authors: Tsotras, Achillefs
Mavros, George
Keywords: In-plane tyre vibrations
Modal tyre
Ring tyre model
Finite elements tyre model
Tyre inflation effect
Nonlinear tyre sidewall
Issue Date: 2009
Publisher: © Taylor & Francis
Citation: TSOTRAS, A. and MAVROS, G., 2009. The simulation of in-plane tyre modal behaviour: a broad modal range comparison between analytical and discretised modelling approaches. Vehicle System Dynamics, 47 (11), pp. 1377 - 1400.
Abstract: In-plane tyre modal behaviour determines the response of tyres to ride excitations and braking/traction manoeuvres. In many studies, the interest is limited to relatively low frequencies and a detailed investigation into the ability of models to accurately simulate higher-order responses is unnecessary. In cases where an in-plane model is to be used for the generation of the contact deformation and stresses, or where modal reduction methods are implemented, a detailed knowledge of the modal response is desirable. The present work forms a study on the ability of a number of frequently used modelling approaches to generate realistic modal data throughout a wide frequency range. The analytical ring on elastic foundation model is used as a benchmark throughout the paper. Its predictions are compared with those of two discretised models, namely a truss- and a beam-based model. The sensitivity of the ring’s response to a number of physical parameters is discussed. The results are used to inform the comparison between the analytical ring and the discretised models, providing explanations for any discrepancies observed. The limited applicability of the truss model is pointed out, while the accuracy of the beam-based model is enhanced by a circumferential inextensible string element. Both the ring and the enhanced beam models are further improved with the addition of a nonlinear string-based sidewall that accounts for the change in sidewall stiffness with inflation pressure. The findings may offer a reference when setting up in-plane models, including the stage of planning modal tests for parameter identification.
Description: This article was published in the journal Vehicle System Dynamics [© Taylor & Francis] and the definitive version is available at: htpp://dx.doi.org/10.1080/00423110802635405
Version: Accepted for publication
DOI: 10.1080/00423110802635405
URI: https://dspace.lboro.ac.uk/2134/11398
Publisher Link: http://dx.doi.org/10.1080/00423110802635405
ISSN: 0042-3114
Appears in Collections:Published Articles (Aeronautical and Automotive Engineering)

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