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Vibration of viscoelastic axially graded beams with simultaneous axial and spinning motions under an axial load

A. Ebrahimi-Mamaghani, A. Forooghi, H. Sarparast, A. Alibeigloo, Michael Friswell

Applied Mathematical Modelling, Volume: 90, Pages: 131 - 150

Swansea University Author: Michael Friswell

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DOI (Published version): 10.1016/j.apm.2020.08.041

Abstract

For the first time, the structural dynamics and vibrational stability of a viscoelastic axially functionally graded (AFG) beam with both spinning and axial motions subjected to an axial load are analyzed, with the aim to enhance the performance of bi-gyroscopic systems. A detailed parametric study i...

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Published in: Applied Mathematical Modelling
ISSN: 0307-904X
Published: Elsevier BV 2021
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URI: https://cronfa.swan.ac.uk/Record/cronfa55252
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spelling 2020-11-09T17:16:10.7082095 v2 55252 2020-09-24 Vibration of viscoelastic axially graded beams with simultaneous axial and spinning motions under an axial load 5894777b8f9c6e64bde3568d68078d40 Michael Friswell Michael Friswell true false 2020-09-24 FGSEN For the first time, the structural dynamics and vibrational stability of a viscoelastic axially functionally graded (AFG) beam with both spinning and axial motions subjected to an axial load are analyzed, with the aim to enhance the performance of bi-gyroscopic systems. A detailed parametric study is also performed to emphasize the influence of various key factors such as material distribution type, viscosity coefficient, and coupled rotation and axial translation on the dynamical characteristics of the system. The material properties of the system are assumed to vary linearly or exponentially in the longitudinal direction with viscoelastic effects. Adopting the Laplace transform and a Galerkin discretization scheme, the critical axial and spin velocities of the system are obtained. An analytical approach is applied to identify the instability thresholds. Stability maps are examined, and for the first time in this paper, it is demonstrated that the stability evolution of the system can be altered by fine-tuning of axial grading or viscosity of the material. The variation of density and elastic modulus gradient parameters are found to have opposite effects on the divergence and flutter boundaries of the system. Furthermore, the results indicate that the destabilizing effect of the axial compressive load can be significantly alleviated by the simultaneous determination of density and elastic modulus gradation in the axial direction of the system. Journal Article Applied Mathematical Modelling 90 131 150 Elsevier BV 0307-904X Axially functionally graded material, Viscoelastic effect, Axially moving and spinning beam, Divergence and flutter instability, Stability map, Structural dynamics 1 2 2021 2021-02-01 10.1016/j.apm.2020.08.041 COLLEGE NANME Science and Engineering - Faculty COLLEGE CODE FGSEN Swansea University 2020-11-09T17:16:10.7082095 2020-09-24T10:15:00.0893041 Faculty of Science and Engineering School of Engineering and Applied Sciences - Uncategorised A. Ebrahimi-Mamaghani 1 A. Forooghi 2 H. Sarparast 3 A. Alibeigloo 4 Michael Friswell 5 55252__18240__36f650a611034eadba1a37ca82e7aceb.pdf 55252.pdf 2020-09-24T10:17:04.0917424 Output 1888144 application/pdf Accepted Manuscript true 2021-09-22T00:00:00.0000000 ©2020 All rights reserved. All article content, except where otherwise noted, is licensed under a Creative Commons Attribution Non-Commercial No Derivatives License (CC-BY-NC-ND) true eng https://creativecommons.org/licenses/by-nc-nd/4.0/
title Vibration of viscoelastic axially graded beams with simultaneous axial and spinning motions under an axial load
spellingShingle Vibration of viscoelastic axially graded beams with simultaneous axial and spinning motions under an axial load
Michael Friswell
title_short Vibration of viscoelastic axially graded beams with simultaneous axial and spinning motions under an axial load
title_full Vibration of viscoelastic axially graded beams with simultaneous axial and spinning motions under an axial load
title_fullStr Vibration of viscoelastic axially graded beams with simultaneous axial and spinning motions under an axial load
title_full_unstemmed Vibration of viscoelastic axially graded beams with simultaneous axial and spinning motions under an axial load
title_sort Vibration of viscoelastic axially graded beams with simultaneous axial and spinning motions under an axial load
author_id_str_mv 5894777b8f9c6e64bde3568d68078d40
author_id_fullname_str_mv 5894777b8f9c6e64bde3568d68078d40_***_Michael Friswell
author Michael Friswell
author2 A. Ebrahimi-Mamaghani
A. Forooghi
H. Sarparast
A. Alibeigloo
Michael Friswell
format Journal article
container_title Applied Mathematical Modelling
container_volume 90
container_start_page 131
publishDate 2021
institution Swansea University
issn 0307-904X
doi_str_mv 10.1016/j.apm.2020.08.041
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
document_store_str 1
active_str 0
description For the first time, the structural dynamics and vibrational stability of a viscoelastic axially functionally graded (AFG) beam with both spinning and axial motions subjected to an axial load are analyzed, with the aim to enhance the performance of bi-gyroscopic systems. A detailed parametric study is also performed to emphasize the influence of various key factors such as material distribution type, viscosity coefficient, and coupled rotation and axial translation on the dynamical characteristics of the system. The material properties of the system are assumed to vary linearly or exponentially in the longitudinal direction with viscoelastic effects. Adopting the Laplace transform and a Galerkin discretization scheme, the critical axial and spin velocities of the system are obtained. An analytical approach is applied to identify the instability thresholds. Stability maps are examined, and for the first time in this paper, it is demonstrated that the stability evolution of the system can be altered by fine-tuning of axial grading or viscosity of the material. The variation of density and elastic modulus gradient parameters are found to have opposite effects on the divergence and flutter boundaries of the system. Furthermore, the results indicate that the destabilizing effect of the axial compressive load can be significantly alleviated by the simultaneous determination of density and elastic modulus gradation in the axial direction of the system.
published_date 2021-02-01T04:09:20Z
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score 11.012678

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