Nihal Ege , Barış Erbaş , Julius Kaplunov , Hazel Yücel
{"title":"Dynamics of a thin elastic coating","authors":"Nihal Ege , Barış Erbaş , Julius Kaplunov , Hazel Yücel","doi":"10.1016/j.ijengsci.2025.104221","DOIUrl":null,"url":null,"abstract":"<div><div>Forced vibrations of a thin elastic coating are considered. A long wave, multimode approximation is derived from the original 3D setup. It is governed by a 2D equation with the coefficients depending on trigonometric functions of the frequency parameter. The related explicit dispersion relations appear to be of general interest as well. Although the developed asymptotic formulation is oriented to the analysis of the effect of normal stresses slowly varying along the upper face of the coating, it is also useful for evaluating the majority of the resonance responses due to <span><math><mi>δ</mi></math></span>-type loading. Numerical comparisons between exact and asymptotic predictions are presented.</div></div>","PeriodicalId":14053,"journal":{"name":"International Journal of Engineering Science","volume":"209 ","pages":"Article 104221"},"PeriodicalIF":5.7000,"publicationDate":"2025-02-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"International Journal of Engineering Science","FirstCategoryId":"5","ListUrlMain":"https://www.sciencedirect.com/science/article/pii/S0020722525000084","RegionNum":1,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q1","JCRName":"ENGINEERING, MULTIDISCIPLINARY","Score":null,"Total":0}
引用次数: 0
Abstract
Forced vibrations of a thin elastic coating are considered. A long wave, multimode approximation is derived from the original 3D setup. It is governed by a 2D equation with the coefficients depending on trigonometric functions of the frequency parameter. The related explicit dispersion relations appear to be of general interest as well. Although the developed asymptotic formulation is oriented to the analysis of the effect of normal stresses slowly varying along the upper face of the coating, it is also useful for evaluating the majority of the resonance responses due to -type loading. Numerical comparisons between exact and asymptotic predictions are presented.
期刊介绍：
The International Journal of Engineering Science is not limited to a specific aspect of science and engineering but is instead devoted to a wide range of subfields in the engineering sciences. While it encourages a broad spectrum of contribution in the engineering sciences, its core interest lies in issues concerning material modeling and response. Articles of interdisciplinary nature are particularly welcome.
The primary goal of the new editors is to maintain high quality of publications. There will be a commitment to expediting the time taken for the publication of the papers. The articles that are sent for reviews will have names of the authors deleted with a view towards enhancing the objectivity and fairness of the review process.
Articles that are devoted to the purely mathematical aspects without a discussion of the physical implications of the results or the consideration of specific examples are discouraged. Articles concerning material science should not be limited merely to a description and recording of observations but should contain theoretical or quantitative discussion of the results.
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