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On wave propagation in two-dimensional functionally graded porous rotating nano-beams using a general nonlocal higher-order beam model

S. Faroughi, A. Rahmani, Michael Friswell

Applied Mathematical Modelling, Volume: 80, Pages: 169 - 190

Swansea University Author: Michael Friswell

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DOI (Published version): 10.1016/j.apm.2019.11.040

Abstract

This paper studies the wave propagation of two-dimensional functionally graded (2D-FG) porous rotating nano-beams for the first time. The rotating nano-beams are made of two different materials, and the material properties of the nano-beams alter both in the thickness and length directions. The gene...

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Published in: Applied Mathematical Modelling
ISSN: 0307-904X
Published: Elsevier BV 2020
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URI: https://cronfa.swan.ac.uk/Record/cronfa52965
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spelling 2021-03-18T15:01:59.0563510 v2 52965 2019-12-05 On wave propagation in two-dimensional functionally graded porous rotating nano-beams using a general nonlocal higher-order beam model 5894777b8f9c6e64bde3568d68078d40 Michael Friswell Michael Friswell true false 2019-12-05 FGSEN This paper studies the wave propagation of two-dimensional functionally graded (2D-FG) porous rotating nano-beams for the first time. The rotating nano-beams are made of two different materials, and the material properties of the nano-beams alter both in the thickness and length directions. The general nonlocal theory (GNT) in conjunction with Reddy's beam model are employed to formulate the size-dependent model. The GNT efficiently models the dispersions of acoustic waves when two independent nonlocal fields are modelled for the longitudinal and transverse acoustic waves. The governing equations of motion for the 2D-FG porous rotating nano-beams are established using Hamilton's principle as a function of the axial force due to centrifugal stiffening and displacement. The analytic solution is applied to obtain the results and solve the governing equations. The effect of the features of different parameters such as functionally graded power indexes, porosity, angular velocity, and material variation on the wave propagation characteristics of the rotating nano-beams are discussed in detail. Journal Article Applied Mathematical Modelling 80 169 190 Elsevier BV 0307-904X Wave Propagation, General Nonlocal Theory, Reddy&apos;s Beam Model, 2D-FG Beam, Rotating Nano-Beam 1 4 2020 2020-04-01 10.1016/j.apm.2019.11.040 http://dx.doi.org/10.1016/j.apm.2019.11.040 COLLEGE NANME Science and Engineering - Faculty COLLEGE CODE FGSEN Swansea University 2021-03-18T15:01:59.0563510 2019-12-05T10:32:18.2459967 Faculty of Science and Engineering School of Engineering and Applied Sciences - Uncategorised S. Faroughi 1 A. Rahmani 2 Michael Friswell 3 52965__16041__490ab99341ea49b5970d6fa2654df847.pdf faroughi2019.pdf 2019-12-05T10:34:36.7818698 Output 4712117 application/pdf Accepted Manuscript true 2020-11-30T00:00:00.0000000 © 2019. 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 On wave propagation in two-dimensional functionally graded porous rotating nano-beams using a general nonlocal higher-order beam model
spellingShingle On wave propagation in two-dimensional functionally graded porous rotating nano-beams using a general nonlocal higher-order beam model
Michael Friswell
title_short On wave propagation in two-dimensional functionally graded porous rotating nano-beams using a general nonlocal higher-order beam model
title_full On wave propagation in two-dimensional functionally graded porous rotating nano-beams using a general nonlocal higher-order beam model
title_fullStr On wave propagation in two-dimensional functionally graded porous rotating nano-beams using a general nonlocal higher-order beam model
title_full_unstemmed On wave propagation in two-dimensional functionally graded porous rotating nano-beams using a general nonlocal higher-order beam model
title_sort On wave propagation in two-dimensional functionally graded porous rotating nano-beams using a general nonlocal higher-order beam model
author_id_str_mv 5894777b8f9c6e64bde3568d68078d40
author_id_fullname_str_mv 5894777b8f9c6e64bde3568d68078d40_***_Michael Friswell
author Michael Friswell
author2 S. Faroughi
A. Rahmani
Michael Friswell
format Journal article
container_title Applied Mathematical Modelling
container_volume 80
container_start_page 169
publishDate 2020
institution Swansea University
issn 0307-904X
doi_str_mv 10.1016/j.apm.2019.11.040
publisher Elsevier BV
college_str Faculty of Science and Engineering
hierarchytype
hierarchy_top_id facultyofscienceandengineering
hierarchy_top_title Faculty of Science and Engineering
hierarchy_parent_id facultyofscienceandengineering
hierarchy_parent_title Faculty of Science and Engineering
department_str School of Engineering and Applied Sciences - Uncategorised{{{_:::_}}}Faculty of Science and Engineering{{{_:::_}}}School of Engineering and Applied Sciences - Uncategorised
url http://dx.doi.org/10.1016/j.apm.2019.11.040
document_store_str 1
active_str 0
description This paper studies the wave propagation of two-dimensional functionally graded (2D-FG) porous rotating nano-beams for the first time. The rotating nano-beams are made of two different materials, and the material properties of the nano-beams alter both in the thickness and length directions. The general nonlocal theory (GNT) in conjunction with Reddy's beam model are employed to formulate the size-dependent model. The GNT efficiently models the dispersions of acoustic waves when two independent nonlocal fields are modelled for the longitudinal and transverse acoustic waves. The governing equations of motion for the 2D-FG porous rotating nano-beams are established using Hamilton's principle as a function of the axial force due to centrifugal stiffening and displacement. The analytic solution is applied to obtain the results and solve the governing equations. The effect of the features of different parameters such as functionally graded power indexes, porosity, angular velocity, and material variation on the wave propagation characteristics of the rotating nano-beams are discussed in detail.
published_date 2020-04-01T04:05:40Z
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score 11.037275

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