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Dynamics of fractional-order multi-beam mass system excited by base motion

Stepa Paunović, Milan Cajić, Danilo Karličić, Marina Mijalković, Danilo Karlicic Orcid Logo

Applied Mathematical Modelling, Volume: 80, Pages: 702 - 723

Swansea University Author: Danilo Karlicic Orcid Logo

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DOI (Published version): 10.1016/j.apm.2019.11.055

Abstract

Vibration of structures induced by some external sources of excitation is a common phenomenon in many engineering fields such as civil engineering, machinery and aerospace. In most cases, it is desirable to suppress such vibrations but lately there are attempts to exploit this phenomenon for the ene...

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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/cronfa53024
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first_indexed 2019-12-12T19:16:18Z
last_indexed 2020-11-07T04:10:42Z
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spelling 2020-11-06T16:59:37.1338492 v2 53024 2019-12-12 Dynamics of fractional-order multi-beam mass system excited by base motion d99ee591771c238aab350833247c8eb9 0000-0002-7547-9293 Danilo Karlicic Danilo Karlicic true false 2019-12-12 EEN Vibration of structures induced by some external sources of excitation is a common phenomenon in many engineering fields such as civil engineering, machinery and aerospace. In most cases, it is desirable to suppress such vibrations but lately there are attempts to exploit this phenomenon for the energy harvesting purposes. Multiple connected structures with attached masses are ideal systems for such applications. In this study, we propose a cantilever multi-beam system excited by base motion, with an arbitrary number of attached masses on beams and fractional-order damping considered. The corresponding governing equations with fractional-order derivatives and non-homogeneous boundary conditions are given. These equations are solved by first homogenizing the boundary conditions and applying the Galerkin discretization, and then using the Fourier transform and impulse response methodology. A steady state response of the system is also analysed. In the numerical study, the influence of various system parameters on the dynamic behaviour of the system is investigated, and different beam-mass configurations are examined. The potential application of this type of systems is also commented. Journal Article Applied Mathematical Modelling 80 702 723 Elsevier BV 0307-904X Multi-beam system, Base excitation, Concentrated masses, Fractional viscoelasticity, Galerkin method, Impulse response 1 4 2020 2020-04-01 10.1016/j.apm.2019.11.055 COLLEGE NANME Engineering COLLEGE CODE EEN Swansea University 2020-11-06T16:59:37.1338492 2019-12-12T13:10:22.0660793 Professional Services ISS - Uncategorised Stepa Paunović 1 Milan Cajić 2 Danilo Karličić 3 Marina Mijalković 4 Danilo Karlicic 0000-0002-7547-9293 5 53024__16089__aba6486d7e134e189e8d8e6771b20c6e.pdf paunovic2019(2).pdf 2019-12-12T13:13:16.5044182 Output 2739900 application/pdf Accepted Manuscript true 2020-12-06T00:00:00.0000000 true eng
title Dynamics of fractional-order multi-beam mass system excited by base motion
spellingShingle Dynamics of fractional-order multi-beam mass system excited by base motion
Danilo Karlicic
title_short Dynamics of fractional-order multi-beam mass system excited by base motion
title_full Dynamics of fractional-order multi-beam mass system excited by base motion
title_fullStr Dynamics of fractional-order multi-beam mass system excited by base motion
title_full_unstemmed Dynamics of fractional-order multi-beam mass system excited by base motion
title_sort Dynamics of fractional-order multi-beam mass system excited by base motion
author_id_str_mv d99ee591771c238aab350833247c8eb9
author_id_fullname_str_mv d99ee591771c238aab350833247c8eb9_***_Danilo Karlicic
author Danilo Karlicic
author2 Stepa Paunović
Milan Cajić
Danilo Karličić
Marina Mijalković
Danilo Karlicic
format Journal article
container_title Applied Mathematical Modelling
container_volume 80
container_start_page 702
publishDate 2020
institution Swansea University
issn 0307-904X
doi_str_mv 10.1016/j.apm.2019.11.055
publisher Elsevier BV
college_str Professional Services
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hierarchy_top_title Professional Services
hierarchy_parent_id professionalservices
hierarchy_parent_title Professional Services
department_str ISS - Uncategorised{{{_:::_}}}Professional Services{{{_:::_}}}ISS - Uncategorised
document_store_str 1
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description Vibration of structures induced by some external sources of excitation is a common phenomenon in many engineering fields such as civil engineering, machinery and aerospace. In most cases, it is desirable to suppress such vibrations but lately there are attempts to exploit this phenomenon for the energy harvesting purposes. Multiple connected structures with attached masses are ideal systems for such applications. In this study, we propose a cantilever multi-beam system excited by base motion, with an arbitrary number of attached masses on beams and fractional-order damping considered. The corresponding governing equations with fractional-order derivatives and non-homogeneous boundary conditions are given. These equations are solved by first homogenizing the boundary conditions and applying the Galerkin discretization, and then using the Fourier transform and impulse response methodology. A steady state response of the system is also analysed. In the numerical study, the influence of various system parameters on the dynamic behaviour of the system is investigated, and different beam-mass configurations are examined. The potential application of this type of systems is also commented.
published_date 2020-04-01T04:05:46Z
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score 11.012678

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