{"title":"Modelling high-frequency tyre belt vibrations","authors":"W.R. Graham","doi":"10.1016/j.jsv.2025.119393","DOIUrl":null,"url":null,"abstract":"<div><div>The problem of tyre noise demands, among other approaches, theoretical prediction methods. A key component here is calculation of the tyre vibrations. A tyre is a complex, composite structure, especially the belt. The majority of work to date has treated this component as a thin plate, which is advantageous for computational economy. However, the fidelity of the representation is unclear, as is its relation to the belt’s component material properties. Here, these questions are addressed in the context of a problem for which exact solutions can be computed: wave propagation on a planar laminate matching the belt’s composition. Over most of the frequency range of interest — up to 2 kHz — three waves can be sustained: flexural, horizontal-shear and extensional. Approximate solutions have been obtained on the basis of the Kirchhoff and Reissner–Mindlin assumptions, layerwise polynomial expansions, and a one-dimensional finite-element discretisation. The thin-plate (Kirchhoff and Reissner–Mindlin) approaches fail to reproduce the exact solutions satisfactorily. In contrast, the methods that resolve the laminate thickness are able to do so, but need high resolutions to capture the horizontal-shear wave accurately. This observation has significant implications for the numerical cost of tyre-noise simulation, and suggests that further work on developing simplified formulations is needed.</div></div>","PeriodicalId":17233,"journal":{"name":"Journal of Sound and Vibration","volume":"619 ","pages":"Article 119393"},"PeriodicalIF":4.9000,"publicationDate":"2025-08-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Journal of Sound and Vibration","FirstCategoryId":"5","ListUrlMain":"https://www.sciencedirect.com/science/article/pii/S0022460X25004663","RegionNum":2,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q1","JCRName":"ACOUSTICS","Score":null,"Total":0}
引用次数: 0
Abstract
The problem of tyre noise demands, among other approaches, theoretical prediction methods. A key component here is calculation of the tyre vibrations. A tyre is a complex, composite structure, especially the belt. The majority of work to date has treated this component as a thin plate, which is advantageous for computational economy. However, the fidelity of the representation is unclear, as is its relation to the belt’s component material properties. Here, these questions are addressed in the context of a problem for which exact solutions can be computed: wave propagation on a planar laminate matching the belt’s composition. Over most of the frequency range of interest — up to 2 kHz — three waves can be sustained: flexural, horizontal-shear and extensional. Approximate solutions have been obtained on the basis of the Kirchhoff and Reissner–Mindlin assumptions, layerwise polynomial expansions, and a one-dimensional finite-element discretisation. The thin-plate (Kirchhoff and Reissner–Mindlin) approaches fail to reproduce the exact solutions satisfactorily. In contrast, the methods that resolve the laminate thickness are able to do so, but need high resolutions to capture the horizontal-shear wave accurately. This observation has significant implications for the numerical cost of tyre-noise simulation, and suggests that further work on developing simplified formulations is needed.
期刊介绍:
The Journal of Sound and Vibration (JSV) is an independent journal devoted to the prompt publication of original papers, both theoretical and experimental, that provide new information on any aspect of sound or vibration. There is an emphasis on fundamental work that has potential for practical application.
JSV was founded and operates on the premise that the subject of sound and vibration requires a journal that publishes papers of a high technical standard across the various subdisciplines, thus facilitating awareness of techniques and discoveries in one area that may be applicable in others.