Wave propagation in mass embedded and pre-stressed hexagonal lattices

Karlicic, Danilo; Cajić, Milan; Chatterjee, Tanmoy; Adhikari, Sondipon

doi:10.1016/j.compstruct.2020.113087

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Wave propagation in mass embedded and pre-stressed hexagonal lattices

Danilo Karlicic

, Milan Cajić, Tanmoy Chatterjee, Sondipon Adhikari

Composite Structures, Volume: 256, Start page: 113087

Swansea University Authors: Danilo Karlicic , Tanmoy Chatterjee, Sondipon Adhikari

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DOI (Published version): 10.1016/j.compstruct.2020.113087

Abstract

This paper investigates the elastic wave propagation, mode veering, and in-plane vibration of pre-stressed hexagonal lattice embedded in an elastic medium and composed of axially loaded Timoshenko beams with attached point masses. The frequency band structure of the lattice system is obtained by sol...

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Published in:	Composite Structures
ISSN:	0263-8223
Published:	Elsevier BV 2021
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URI:	https://cronfa.swan.ac.uk/Record/cronfa55428
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spelling	2020-12-16T11:52:08.9188039 v2 55428 2020-10-16 Wave propagation in mass embedded and pre-stressed hexagonal lattices d99ee591771c238aab350833247c8eb9 0000-0002-7547-9293 Danilo Karlicic Danilo Karlicic true false 5e637da3a34c6e97e2b744c2120db04d Tanmoy Chatterjee Tanmoy Chatterjee true false 4ea84d67c4e414f5ccbd7593a40f04d3 Sondipon Adhikari Sondipon Adhikari true false 2020-10-16 EEN This paper investigates the elastic wave propagation, mode veering, and in-plane vibration of pre-stressed hexagonal lattice embedded in an elastic medium and composed of axially loaded Timoshenko beams with attached point masses. The frequency band structure of the lattice system is obtained by solving the corresponding eigenvalue problem based on the Bloch theorem and the finite element method. The parametric study is performed by investigating the effects of the pre-stress magnitude, stiffness of elastic medium, and attached point masses on the band structure of a lattice unit cell. For simulating the free vibration behavior of the proposed lattices with different topologies, the Hurty-Craig-Bampton method is introduced to reduce the number of degrees of freedom. Based on the reduced finite element model, the natural frequencies are determined for various boundary conditions. The additional interface reduction technique, called system-level reduction, has been observed to achieve accurate results compared to that of the full model. Numerical experiments demonstrated a significant influence of the additional masses, pre-stress, and stiffness of elastic medium on Bloch waves and eigenvalues of the proposed lattice systems. The effects of different parameters on the emergence of mode veering phenomenon and band gaps are investigated in detail. Journal Article Composite Structures 256 113087 Elsevier BV 0263-8223 Embedded Lattices, Attached point masses, Pre-stressed Timoshenko beams, Bloch waves, Hurty-Craig-Bampton method, Veering phenomena 15 1 2021 2021-01-15 10.1016/j.compstruct.2020.113087 COLLEGE NANME Engineering COLLEGE CODE EEN Swansea University 2020-12-16T11:52:08.9188039 2020-10-16T10:47:29.2907351 Faculty of Science and Engineering School of Engineering and Applied Sciences - Uncategorised Danilo Karlicic 0000-0002-7547-9293 1 Milan Cajić 2 Tanmoy Chatterjee 3 Sondipon Adhikari 4 55428__18427__26ba5e82a82f4cf0b4e351a7ae2d938b.pdf 55428.pdf 2020-10-16T10:50:23.3781933 Output 2932511 application/pdf Accepted Manuscript true 2021-10-10T00:00:00.0000000 © 2020. This manuscript version is made available under the CC-BY-NC-ND 4.0 license true eng http://creativecommons.org/licenses/by-nc-nd/4.0/
title	Wave propagation in mass embedded and pre-stressed hexagonal lattices
spellingShingle	Wave propagation in mass embedded and pre-stressed hexagonal lattices Danilo Karlicic Tanmoy Chatterjee Sondipon Adhikari
title_short	Wave propagation in mass embedded and pre-stressed hexagonal lattices
title_full	Wave propagation in mass embedded and pre-stressed hexagonal lattices
title_fullStr	Wave propagation in mass embedded and pre-stressed hexagonal lattices
title_full_unstemmed	Wave propagation in mass embedded and pre-stressed hexagonal lattices
title_sort	Wave propagation in mass embedded and pre-stressed hexagonal lattices
author_id_str_mv	d99ee591771c238aab350833247c8eb9 5e637da3a34c6e97e2b744c2120db04d 4ea84d67c4e414f5ccbd7593a40f04d3
author_id_fullname_str_mv	d99ee591771c238aab350833247c8eb9_*_Danilo Karlicic 5e637da3a34c6e97e2b744c2120db04d__Tanmoy Chatterjee 4ea84d67c4e414f5ccbd7593a40f04d3_**_Sondipon Adhikari
author	Danilo Karlicic Tanmoy Chatterjee Sondipon Adhikari
author2	Danilo Karlicic Milan Cajić Tanmoy Chatterjee Sondipon Adhikari
format	Journal article
container_title	Composite Structures
container_volume	256
container_start_page	113087
publishDate	2021
institution	Swansea University
issn	0263-8223
doi_str_mv	10.1016/j.compstruct.2020.113087
publisher	Elsevier BV
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description	This paper investigates the elastic wave propagation, mode veering, and in-plane vibration of pre-stressed hexagonal lattice embedded in an elastic medium and composed of axially loaded Timoshenko beams with attached point masses. The frequency band structure of the lattice system is obtained by solving the corresponding eigenvalue problem based on the Bloch theorem and the finite element method. The parametric study is performed by investigating the effects of the pre-stress magnitude, stiffness of elastic medium, and attached point masses on the band structure of a lattice unit cell. For simulating the free vibration behavior of the proposed lattices with different topologies, the Hurty-Craig-Bampton method is introduced to reduce the number of degrees of freedom. Based on the reduced finite element model, the natural frequencies are determined for various boundary conditions. The additional interface reduction technique, called system-level reduction, has been observed to achieve accurate results compared to that of the full model. Numerical experiments demonstrated a significant influence of the additional masses, pre-stress, and stiffness of elastic medium on Bloch waves and eigenvalues of the proposed lattice systems. The effects of different parameters on the emergence of mode veering phenomenon and band gaps are investigated in detail.
published_date	2021-01-15T04:09:38Z
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score	11.012678

Wave propagation in mass embedded and pre-stressed hexagonal lattices

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