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Bloch waves in an array of elastically connected periodic slender structures

Danilo Karlicic Orcid Logo, Milan Cajić, Stepa Paunović, Sondipon Adhikari

Mechanical Systems and Signal Processing, Volume: 155, Start page: 107591

Swansea University Authors: Danilo Karlicic Orcid Logo, Sondipon Adhikari

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Abstract

This paper proposes the methodology to carry out the analysis of Bloch wave propagation in an array of vertically aligned and elastically connected structural elements such as beams, strings, plates, or other slender structures. The suggested approach is based on the Galerkin approximation and Floqu...

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Published in: Mechanical Systems and Signal Processing
ISSN: 0888-3270
Published: Elsevier BV 2021
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URI: https://cronfa.swan.ac.uk/Record/cronfa56215
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first_indexed 2021-02-09T10:46:41Z
last_indexed 2021-12-01T04:14:48Z
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spelling 2021-11-30T15:59:56.8811915 v2 56215 2021-02-09 Bloch waves in an array of elastically connected periodic slender structures d99ee591771c238aab350833247c8eb9 0000-0002-7547-9293 Danilo Karlicic Danilo Karlicic true false 4ea84d67c4e414f5ccbd7593a40f04d3 Sondipon Adhikari Sondipon Adhikari true false 2021-02-09 EEN This paper proposes the methodology to carry out the analysis of Bloch wave propagation in an array of vertically aligned and elastically connected structural elements such as beams, strings, plates, or other slender structures. The suggested approach is based on the Galerkin approximation and Floquet-Bloch theorem used in defining the eigenvalue problem and obtaining the band structure of the periodic systems. Special attention is devoted to the case of elastically connected Rayleigh beams with attached concentrated masses and wave propagation in the direction normal to the beam’s length. A validation study is performed by using the finite element model and the frequency response function to confirm the accuracy of the solution obtained via the Galerkin approximation. Two configurations of unit cells, having two and three elastically connected beams with different geometrical and material properties, are considered in the numerical study. The effects of various parameters are investigated to reveal their influence on the frequency band structure and emergence of the zero-frequency bandgap. The results of this study demonstrates the tunability properties of the proposed periodic systems due to changes in values of concentrated masses, stiffness of the coupling medium or boundary conditions on structural elements within the unit cell. Journal Article Mechanical Systems and Signal Processing 155 107591 Elsevier BV 0888-3270 Bloch waves, Galerkin approximation, Band structure, Elastically connected beams, Concentrated masses 16 6 2021 2021-06-16 10.1016/j.ymssp.2020.107591 COLLEGE NANME Engineering COLLEGE CODE EEN Swansea University 2021-11-30T15:59:56.8811915 2021-02-09T10:33:20.3930836 College of Engineering Engineering Danilo Karlicic 0000-0002-7547-9293 1 Milan Cajić 2 Stepa Paunović 3 Sondipon Adhikari 4
title Bloch waves in an array of elastically connected periodic slender structures
spellingShingle Bloch waves in an array of elastically connected periodic slender structures
Danilo Karlicic
Sondipon Adhikari
title_short Bloch waves in an array of elastically connected periodic slender structures
title_full Bloch waves in an array of elastically connected periodic slender structures
title_fullStr Bloch waves in an array of elastically connected periodic slender structures
title_full_unstemmed Bloch waves in an array of elastically connected periodic slender structures
title_sort Bloch waves in an array of elastically connected periodic slender structures
author_id_str_mv d99ee591771c238aab350833247c8eb9
4ea84d67c4e414f5ccbd7593a40f04d3
author_id_fullname_str_mv d99ee591771c238aab350833247c8eb9_***_Danilo Karlicic
4ea84d67c4e414f5ccbd7593a40f04d3_***_Sondipon Adhikari
author Danilo Karlicic
Sondipon Adhikari
author2 Danilo Karlicic
Milan Cajić
Stepa Paunović
Sondipon Adhikari
format Journal article
container_title Mechanical Systems and Signal Processing
container_volume 155
container_start_page 107591
publishDate 2021
institution Swansea University
issn 0888-3270
doi_str_mv 10.1016/j.ymssp.2020.107591
publisher Elsevier BV
college_str College of Engineering
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hierarchy_top_id collegeofengineering
hierarchy_top_title College of Engineering
hierarchy_parent_id collegeofengineering
hierarchy_parent_title College of Engineering
department_str Engineering{{{_:::_}}}College of Engineering{{{_:::_}}}Engineering
document_store_str 0
active_str 0
description This paper proposes the methodology to carry out the analysis of Bloch wave propagation in an array of vertically aligned and elastically connected structural elements such as beams, strings, plates, or other slender structures. The suggested approach is based on the Galerkin approximation and Floquet-Bloch theorem used in defining the eigenvalue problem and obtaining the band structure of the periodic systems. Special attention is devoted to the case of elastically connected Rayleigh beams with attached concentrated masses and wave propagation in the direction normal to the beam’s length. A validation study is performed by using the finite element model and the frequency response function to confirm the accuracy of the solution obtained via the Galerkin approximation. Two configurations of unit cells, having two and three elastically connected beams with different geometrical and material properties, are considered in the numerical study. The effects of various parameters are investigated to reveal their influence on the frequency band structure and emergence of the zero-frequency bandgap. The results of this study demonstrates the tunability properties of the proposed periodic systems due to changes in values of concentrated masses, stiffness of the coupling medium or boundary conditions on structural elements within the unit cell.
published_date 2021-06-16T04:11:40Z
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score 10.879195