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Wave solutions and vibration control for the coupled vibration of a moving string system subjected to periodic excitations

Wave solutions and vibration control for the coupled vibration of a moving string system subjected to periodic excitations
Wave solutions and vibration control for the coupled vibration of a moving string system subjected to periodic excitations
This paper provides wave solutions for the forced vibration response of a moving string system. Coupled vibration for different regions of the moving string system are considered. Firstly, due to the regularity of transmission and reflection, wave solutions are obtained by D’Alembert’s method incorporating forced waves. Secondly, the case of an applied control force provides a control strategy that changes the transmission of propagating waves to prevent the impact of the vibration travelling from one region of the string into another. Thirdly, the coupled vibration issue is handled from the point of view of propagating waves. The transmission and reflection of propagating waves at constraints are also studied. Finally, the theory proposed is applied to two real-life examples, i.e., the wiresaw manufacturing process and the hot-dip galvanizing process. Vibration characteristics of the system with a concentrated or uniform harmonic excitation are studied, and a good performance of the control strategy is demonstrated.
Control force, Coupled vibration, Forced vibration, Moving string, Transmission and reflection, Wave solution
0888-3270
He, Yuteng
b7f7ab54-7de2-4aa6-a6cd-30466bd1d7ee
Chen, Enwei
808a82ee-6f26-4047-bd12-9e6a1e55c6fa
Ferguson, Neil
8cb67e30-48e2-491c-9390-d444fa786ac8
Zhu, Weidong
0192832e-6e65-4faa-aa48-f6fde5aedf94
Wu, Yuanfeng
6ee200c9-07f2-417b-b198-71cebbc82d15
Lu, Yimin
596a6e39-b819-4c9d-927a-74dd43245a11
He, Yuteng
b7f7ab54-7de2-4aa6-a6cd-30466bd1d7ee
Chen, Enwei
808a82ee-6f26-4047-bd12-9e6a1e55c6fa
Ferguson, Neil
8cb67e30-48e2-491c-9390-d444fa786ac8
Zhu, Weidong
0192832e-6e65-4faa-aa48-f6fde5aedf94
Wu, Yuanfeng
6ee200c9-07f2-417b-b198-71cebbc82d15
Lu, Yimin
596a6e39-b819-4c9d-927a-74dd43245a11

He, Yuteng, Chen, Enwei, Ferguson, Neil, Zhu, Weidong, Wu, Yuanfeng and Lu, Yimin (2023) Wave solutions and vibration control for the coupled vibration of a moving string system subjected to periodic excitations. Mechanical Systems and Signal Processing, 189, [110057]. (doi:10.1016/j.ymssp.2022.110057).

Record type: Article

Abstract

This paper provides wave solutions for the forced vibration response of a moving string system. Coupled vibration for different regions of the moving string system are considered. Firstly, due to the regularity of transmission and reflection, wave solutions are obtained by D’Alembert’s method incorporating forced waves. Secondly, the case of an applied control force provides a control strategy that changes the transmission of propagating waves to prevent the impact of the vibration travelling from one region of the string into another. Thirdly, the coupled vibration issue is handled from the point of view of propagating waves. The transmission and reflection of propagating waves at constraints are also studied. Finally, the theory proposed is applied to two real-life examples, i.e., the wiresaw manufacturing process and the hot-dip galvanizing process. Vibration characteristics of the system with a concentrated or uniform harmonic excitation are studied, and a good performance of the control strategy is demonstrated.

Text
MSSP22-2492_R1_PURE - Accepted Manuscript
Restricted to Repository staff only until 23 January 2025.
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More information

Accepted/In Press date: 17 December 2022
e-pub ahead of print date: 23 January 2023
Published date: 15 April 2023
Additional Information: Funding Information: This work was supported by the Natural Science Foundation of Anhui province [grant number 2208085ME130] and the National Natural Science Foundation of China [grant numbers 51675150, 51305115 and 11772100]. Publisher Copyright: © 2022 Elsevier Ltd
Keywords: Control force, Coupled vibration, Forced vibration, Moving string, Transmission and reflection, Wave solution

Identifiers

Local EPrints ID: 474137
URI: http://eprints.soton.ac.uk/id/eprint/474137
ISSN: 0888-3270
PURE UUID: 9de3c124-b47a-46ea-b2c3-db3cfefe1e1e
ORCID for Neil Ferguson: ORCID iD orcid.org/0000-0001-5955-7477

Catalogue record

Date deposited: 14 Feb 2023 17:38
Last modified: 17 Mar 2024 02:32

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Contributors

Author: Yuteng He
Author: Enwei Chen
Author: Neil Ferguson ORCID iD
Author: Weidong Zhu
Author: Yuanfeng Wu
Author: Yimin Lu

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