{"title":"Longitudinal wave propagation in coupled triple-layer mass–spring chains: Discrete and continuum models","authors":"E. Ghavanloo","doi":"10.1016/j.mechrescom.2025.104446","DOIUrl":null,"url":null,"abstract":"<div><div>Wave propagation in coupled triple-layer mass–spring chains is investigated through discrete and continuum modeling approaches to address the underexplored dynamics of multilayered systems. A discrete model is formulated using Newton’s second law, and Bloch’s theorem is applied to obtain the dispersion relation. Complementing the discrete analysis, continuum approximations are developed using standard Taylor series expansions (up to sixth-order) and a non-standard Padé-based approach. Numerical comparisons demonstrate that the non-standard model achieves good accuracy across a broad frequency spectrum, while higher-order standard models (sixth-order) offer excellent improvements at the cost of complexity.</div></div>","PeriodicalId":49846,"journal":{"name":"Mechanics Research Communications","volume":"148 ","pages":"Article 104446"},"PeriodicalIF":2.3000,"publicationDate":"2025-06-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Mechanics Research Communications","FirstCategoryId":"5","ListUrlMain":"https://www.sciencedirect.com/science/article/pii/S0093641325000795","RegionNum":4,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q3","JCRName":"MECHANICS","Score":null,"Total":0}
引用次数: 0
Abstract
Wave propagation in coupled triple-layer mass–spring chains is investigated through discrete and continuum modeling approaches to address the underexplored dynamics of multilayered systems. A discrete model is formulated using Newton’s second law, and Bloch’s theorem is applied to obtain the dispersion relation. Complementing the discrete analysis, continuum approximations are developed using standard Taylor series expansions (up to sixth-order) and a non-standard Padé-based approach. Numerical comparisons demonstrate that the non-standard model achieves good accuracy across a broad frequency spectrum, while higher-order standard models (sixth-order) offer excellent improvements at the cost of complexity.
期刊介绍:
Mechanics Research Communications publishes, as rapidly as possible, peer-reviewed manuscripts of high standards but restricted length. It aims to provide:
• a fast means of communication
• an exchange of ideas among workers in mechanics
• an effective method of bringing new results quickly to the public
• an informal vehicle for the discussion
• of ideas that may still be in the formative stages
The field of Mechanics will be understood to encompass the behavior of continua, fluids, solids, particles and their mixtures. Submissions must contain a strong, novel contribution to the field of mechanics, and ideally should be focused on current issues in the field involving theoretical, experimental and/or applied research, preferably within the broad expertise encompassed by the Board of Associate Editors. Deviations from these areas should be discussed in advance with the Editor-in-Chief.