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Conference Paper/Proceeding/Abstract 243 views 46 downloads

Fractional damping in a monoatomic chain with cubic nonlinearity

Milan Cajic, Stepa Paunović, Sondipon Adhikari

Proceedings of the 26th International Congress of Mechanical Engineering, Pages: 1 - 6

Swansea University Authors: Milan Cajic, Sondipon Adhikari

DOI (Published version): 10.26678/abcm.cobem2021.cob2021-2340

Abstract

In this communication, we show the model of a nonlinear periodic chain with fractional-order damping included. The model includes point masses connected through cubic nonlinear and linear springs and fractional spring-pot elements. The motion equation is solved by using the first-order multiple scal...

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Published in: Proceedings of the 26th International Congress of Mechanical Engineering
Published: Brasil ABCM 2021
Online Access: http://dx.doi.org/10.26678/abcm.cobem2021.cob2021-2340
URI: https://cronfa.swan.ac.uk/Record/cronfa61900
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first_indexed 2022-11-14T11:14:53Z
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spelling v2 61900 2022-11-14 Fractional damping in a monoatomic chain with cubic nonlinearity 08b3d2d27daffae99331d905f63a6697 Milan Cajic Milan Cajic true false 4ea84d67c4e414f5ccbd7593a40f04d3 Sondipon Adhikari Sondipon Adhikari true false 2022-11-14 AERO In this communication, we show the model of a nonlinear periodic chain with fractional-order damping included. The model includes point masses connected through cubic nonlinear and linear springs and fractional spring-pot elements. The motion equation is solved by using the first-order multiple scales perturbation analysis. The case with weak nonlinearity and damping is observed and the corresponding dispersion equation derived. A parametric study is performed to examine the effects of different parameters on dispersion curves. Given the wavenumber, the cubic nonlinearityand fractional damping parameter have shown to produce lower frequencies than the corresponding undamped linear system. Conference Paper/Proceeding/Abstract Proceedings of the 26th International Congress of Mechanical Engineering 1 6 ABCM Brasil 1 1 2021 2021-01-01 10.26678/abcm.cobem2021.cob2021-2340 http://dx.doi.org/10.26678/abcm.cobem2021.cob2021-2340 COLLEGE NANME Aerospace Engineering COLLEGE CODE AERO Swansea University Not Required European Union’s Horizon 2020 research and innovation programme under the Marie Skłodowska-Curie grant 896942 2023-06-02T15:45:00.6212933 2022-11-14T09:46:11.4363829 Faculty of Science and Engineering School of Engineering and Applied Sciences - Uncategorised Milan Cajic 1 Stepa Paunović 2 Sondipon Adhikari 3 61900__25753__4e7981125dc245e5b3099b981e992d0c.pdf cobem2021_Cajic_et_al.pdf 2022-11-14T09:58:07.7039338 Output 274682 application/pdf Author's Original true false eng
title Fractional damping in a monoatomic chain with cubic nonlinearity
spellingShingle Fractional damping in a monoatomic chain with cubic nonlinearity
Milan Cajic
Sondipon Adhikari
title_short Fractional damping in a monoatomic chain with cubic nonlinearity
title_full Fractional damping in a monoatomic chain with cubic nonlinearity
title_fullStr Fractional damping in a monoatomic chain with cubic nonlinearity
title_full_unstemmed Fractional damping in a monoatomic chain with cubic nonlinearity
title_sort Fractional damping in a monoatomic chain with cubic nonlinearity
author_id_str_mv 08b3d2d27daffae99331d905f63a6697
4ea84d67c4e414f5ccbd7593a40f04d3
author_id_fullname_str_mv 08b3d2d27daffae99331d905f63a6697_***_Milan Cajic
4ea84d67c4e414f5ccbd7593a40f04d3_***_Sondipon Adhikari
author Milan Cajic
Sondipon Adhikari
author2 Milan Cajic
Stepa Paunović
Sondipon Adhikari
format Conference Paper/Proceeding/Abstract
container_title Proceedings of the 26th International Congress of Mechanical Engineering
container_start_page 1
publishDate 2021
institution Swansea University
doi_str_mv 10.26678/abcm.cobem2021.cob2021-2340
publisher ABCM
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/10.26678/abcm.cobem2021.cob2021-2340
document_store_str 1
active_str 0
description In this communication, we show the model of a nonlinear periodic chain with fractional-order damping included. The model includes point masses connected through cubic nonlinear and linear springs and fractional spring-pot elements. The motion equation is solved by using the first-order multiple scales perturbation analysis. The case with weak nonlinearity and damping is observed and the corresponding dispersion equation derived. A parametric study is performed to examine the effects of different parameters on dispersion curves. Given the wavenumber, the cubic nonlinearityand fractional damping parameter have shown to produce lower frequencies than the corresponding undamped linear system.
published_date 2021-01-01T15:44:59Z
_version_ 1767602492954116096
score 11.012678

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