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

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

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 1872-8480
Published: Elsevier BV 2020
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URI: https://cronfa.swan.ac.uk/Record/cronfa53024
first_indexed 2019-12-12T19:16:18Z
last_indexed 2025-04-09T03:57:36Z
id cronfa53024
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spelling 2025-04-08T11:55:43.1669745 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 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 1872-8480 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 COLLEGE CODE Swansea University Not Required This research was supported by the Ministry of Education, Science and Technology of the Republic of Serbia, through the Mathematical Institute SANU, Belgrade, and the Grant No. 174001, and the author D. Karličić was supported by the Marie SkÅĆodowska-Curie Actions - European Commission fellowship: 799201-METACTIVE. 2025-04-08T11:55:43.1669745 2019-12-12T13:10:22.0660793 Faculty of Science and Engineering School of Aerospace, Civil, Electrical, General and Mechanical Engineering - Mechanical Engineering Stepa Paunović 1 Milan Cajić 2 Danilo Karlicic 0000-0002-7547-9293 3 Marina Mijalković 4 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 Karlicic
Marina Mijalković
format Journal article
container_title Applied Mathematical Modelling
container_volume 80
container_start_page 702
publishDate 2020
institution Swansea University
issn 0307-904X
1872-8480
doi_str_mv 10.1016/j.apm.2019.11.055
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 Aerospace, Civil, Electrical, General and Mechanical Engineering - Mechanical Engineering{{{_:::_}}}Faculty of Science and Engineering{{{_:::_}}}School of Aerospace, Civil, Electrical, General and Mechanical Engineering - Mechanical Engineering
document_store_str 1
active_str 0
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 2020-04-01T11:54:35Z
_version_ 1832002440505851904
score 11.059316

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