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

被引：1

作者：

Rosic, N. ^{[1
]}

Karlicic, D. ^{[2
]}

Cajic, M. ^{[2
]}

Adhikari, S. ^{[3
]}

Lazarevic, M. ^{[1
]}

机构：

[1] Univ Belgrade, Fac Mech Engn, Dept Mech, Kraljice Marije 16, Belgrade 11120, Serbia

[2] Serbian Acad Arts & Sci, Math Inst, Kneza Mihaila 36, Belgrade 11001, Serbia

[3] Univ Glasgow, James Watt Sch Engn, Glasgow G12 8QQ, Scotland

来源：

PHILOSOPHICAL TRANSACTIONS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES | 2024年 / 382卷 / 2279期

关键词：

metamaterials; phononic structures; Timoshenko beams; transfer matrix method; dispersion relation; rigid body; FREE-VIBRATION; PERIODIC STRUCTURES;

D O I：

10.1098/rsta.2023.0362

中图分类号：

O [数理科学和化学]; P [天文学、地球科学]; Q [生物科学]; N [自然科学总论];

学科分类号：

07 ; 0710 ; 09 ;

摘要：

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)'.

引用

页数：14

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