Modelling high-frequency tyre belt vibrations

IF 4.9 2区 工程技术 Q1 ACOUSTICS
W.R. Graham
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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.
模拟高频轮胎皮带振动
轮胎噪声问题的研究需要理论预测方法。这里的一个关键部分是轮胎振动的计算。轮胎是一个复杂的复合结构,尤其是皮带。到目前为止,大多数工作都将该组件视为薄板,这有利于计算经济。然而,表示的保真度是不清楚的,因为它的关系,皮带的组成材料的性质。在这里,这些问题是在一个可以计算精确解的问题的背景下解决的:波在与带的组成相匹配的平面层压板上的传播。在大部分感兴趣的频率范围内(高达2khz),可以持续三种波:弯曲波、水平剪切波和伸展波。在Kirchhoff和Reissner-Mindlin假设、分层多项式展开和一维有限元离散化的基础上,得到了近似解。薄板(Kirchhoff和Reissner-Mindlin)方法不能令人满意地重现精确的解。相比之下,层压厚度的解析方法能够做到这一点,但需要高分辨率才能准确捕获水平横波。这一观察结果对轮胎噪声模拟的数值成本具有重要意义,并表明需要进一步开展简化公式的工作。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
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来源期刊
Journal of Sound and Vibration
Journal of Sound and Vibration 工程技术-工程:机械
CiteScore
9.10
自引率
10.60%
发文量
551
审稿时长
69 days
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.
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