Wave propagation in tailored metastructures consisting of elastic beams and rigid bodies.

IF 4.3 3区综合性期刊 Q1 MULTIDISCIPLINARY SCIENCES

Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences Pub Date : 2024-09-23 Epub Date: 2024-08-12 DOI:10.1098/rsta.2023.0362

N Rosić, D Karličić, M Cajić, S Adhikari, M Lazarević

{"title":"Wave propagation in tailored metastructures consisting of elastic beams and rigid bodies.","authors":"N Rosić, D Karličić, M Cajić, S Adhikari, M Lazarević","doi":"10.1098/rsta.2023.0362","DOIUrl":null,"url":null,"abstract":"<p><p>This paper presents a study of wave propagation through an infinite periodic structure that consists of elastic Timoshenko beams interconnected with rigid bodies. This is a generalized approach in which the beams are not coaxial and the centre of mass of each rigid body is placed away from the intersection of their neutral axes. An analytical approach is used by applying the transfer matrix method (TMM), along with the Floquet-Bloch theorem for elastic wave propagation. Subsequent parametric analysis is performed with visualization of resulting band diagrams of a representative structure. These results are verified through comparison with solutions obtained using the finite-element method (FEM). In this manner, a comprehensive dynamical analysis of tailored metastructures is provided.This article is part of the theme issue 'Current developments in elastic and acoustic metamaterials science (Part 2)'.</p>","PeriodicalId":19879,"journal":{"name":"Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences","volume":"382 2279","pages":"20230362"},"PeriodicalIF":4.3000,"publicationDate":"2024-09-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences","FirstCategoryId":"103","ListUrlMain":"https://doi.org/10.1098/rsta.2023.0362","RegionNum":3,"RegionCategory":"综合性期刊","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"2024/8/12 0:00:00","PubModel":"Epub","JCR":"Q1","JCRName":"MULTIDISCIPLINARY SCIENCES","Score":null,"Total":0}

引用次数: 0

Abstract

This paper presents a study of wave propagation through an infinite periodic structure that consists of elastic Timoshenko beams interconnected with rigid bodies. This is a generalized approach in which the beams are not coaxial and the centre of mass of each rigid body is placed away from the intersection of their neutral axes. An analytical approach is used by applying the transfer matrix method (TMM), along with the Floquet-Bloch theorem for elastic wave propagation. Subsequent parametric analysis is performed with visualization of resulting band diagrams of a representative structure. These results are verified through comparison with solutions obtained using the finite-element method (FEM). In this manner, a comprehensive dynamical analysis of tailored metastructures is provided.This article is part of the theme issue 'Current developments in elastic and acoustic metamaterials science (Part 2)'.

查看原文本刊更多论文

波在由弹性梁和刚体组成的定制转移结构中的传播。

本文研究了波在无限周期结构中的传播，该结构由与刚体相互连接的弹性季莫申科梁组成。这是一种通用方法，其中梁不是同轴的，每个刚体的质量中心都远离它们的中性轴交点。分析方法是应用传递矩阵法（TMM）和弹性波传播的 Floquet-Bloch 定理。随后进行了参数分析，并对代表性结构的带状图进行了可视化。这些结果通过与使用有限元法（FEM）获得的解决方案进行比较得到验证。本文是主题 "弹性和声学超材料科学的最新发展（第 2 部分）"的一部分。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

求助全文

约1分钟内获得全文求助全文

来源期刊

Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences 综合性期刊-综合性期刊

CiteScore

9.30

自引率

2.00%

发文量

367

审稿时长

3 months

期刊介绍： Continuing its long history of influential scientific publishing, Philosophical Transactions A publishes high-quality theme issues on topics of current importance and general interest within the physical, mathematical and engineering sciences, guest-edited by leading authorities and comprising new research, reviews and opinions from prominent researchers.