A Novel Approach to the Design of Distributed Dynamic Vibration Absorbers for Plates Subjected to Classical and Elastic Edge Conditions

Plate structures are the main components of offshore platforms and ships in engineering applications. The vibration control of the low-frequency mode of plate structures has always been a meaningful research object in marine science and engineering. Due to their low cost and good performance, dynami...

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Main Authors: Yuan Du, Yuhang Tang, Chenyu Fan, Yucheng Zou, Zhen Bao, Yong Ma
Format: Article
Language:English
Published: MDPI AG 2025-02-01
Series:Journal of Marine Science and Engineering
Subjects:
Online Access:https://www.mdpi.com/2077-1312/13/3/401
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author Yuan Du
Yuhang Tang
Chenyu Fan
Yucheng Zou
Zhen Bao
Yong Ma
author_facet Yuan Du
Yuhang Tang
Chenyu Fan
Yucheng Zou
Zhen Bao
Yong Ma
author_sort Yuan Du
collection DOAJ
description Plate structures are the main components of offshore platforms and ships in engineering applications. The vibration control of the low-frequency mode of plate structures has always been a meaningful research object in marine science and engineering. Due to their low cost and good performance, dynamic vibration absorbers are widely used. To enhance the design efficiency of dynamic vibration absorbers, a mathematical model was developed for plates with dynamic vibration absorbers under different boundary constraints. To overcome the discontinuity of the displacement function, auxiliary series were introduced. In addition, the efficiency of resolving the plate structure’s equivalent mass was significantly improved compared with when using FEM software Abaqus 6.14. The validity of the proposed mathematical model was confirmed in comparison with related studies, the FEM results, and the experimental results. Considering the mathematical model and design approach proposed in the current paper, more research on the vibration control of plates subjected to clamped and elastic boundary conditions should be performed. The mathematical model and findings in the design process may have positive implications for the control of the vibration of plate structures in marine science and engineering.
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id doaj-art-dacbb7537e3f4f96a39162d111b18611
institution OA Journals
issn 2077-1312
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publishDate 2025-02-01
publisher MDPI AG
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series Journal of Marine Science and Engineering
spelling doaj-art-dacbb7537e3f4f96a39162d111b186112025-08-20T02:11:17ZengMDPI AGJournal of Marine Science and Engineering2077-13122025-02-0113340110.3390/jmse13030401A Novel Approach to the Design of Distributed Dynamic Vibration Absorbers for Plates Subjected to Classical and Elastic Edge ConditionsYuan Du0Yuhang Tang1Chenyu Fan2Yucheng Zou3Zhen Bao4Yong Ma5School of Marine Engineering and Technology, Sun Yat-sen University, Zhuhai 519000, ChinaNaval Research Institute, Beijing 100161, ChinaNaval Research Institute, Beijing 100161, ChinaCollege of Shipbuilding Engineering, Harbin Engineering University, Harbin 150001, ChinaCollege of Shipbuilding Engineering, Harbin Engineering University, Harbin 150001, ChinaSchool of Marine Engineering and Technology, Sun Yat-sen University, Zhuhai 519000, ChinaPlate structures are the main components of offshore platforms and ships in engineering applications. The vibration control of the low-frequency mode of plate structures has always been a meaningful research object in marine science and engineering. Due to their low cost and good performance, dynamic vibration absorbers are widely used. To enhance the design efficiency of dynamic vibration absorbers, a mathematical model was developed for plates with dynamic vibration absorbers under different boundary constraints. To overcome the discontinuity of the displacement function, auxiliary series were introduced. In addition, the efficiency of resolving the plate structure’s equivalent mass was significantly improved compared with when using FEM software Abaqus 6.14. The validity of the proposed mathematical model was confirmed in comparison with related studies, the FEM results, and the experimental results. Considering the mathematical model and design approach proposed in the current paper, more research on the vibration control of plates subjected to clamped and elastic boundary conditions should be performed. The mathematical model and findings in the design process may have positive implications for the control of the vibration of plate structures in marine science and engineering.https://www.mdpi.com/2077-1312/13/3/401platedynamic vibration absorbersvibration controlclassical edge conditionselastic edge conditions
spellingShingle Yuan Du
Yuhang Tang
Chenyu Fan
Yucheng Zou
Zhen Bao
Yong Ma
A Novel Approach to the Design of Distributed Dynamic Vibration Absorbers for Plates Subjected to Classical and Elastic Edge Conditions
Journal of Marine Science and Engineering
plate
dynamic vibration absorbers
vibration control
classical edge conditions
elastic edge conditions
title A Novel Approach to the Design of Distributed Dynamic Vibration Absorbers for Plates Subjected to Classical and Elastic Edge Conditions
title_full A Novel Approach to the Design of Distributed Dynamic Vibration Absorbers for Plates Subjected to Classical and Elastic Edge Conditions
title_fullStr A Novel Approach to the Design of Distributed Dynamic Vibration Absorbers for Plates Subjected to Classical and Elastic Edge Conditions
title_full_unstemmed A Novel Approach to the Design of Distributed Dynamic Vibration Absorbers for Plates Subjected to Classical and Elastic Edge Conditions
title_short A Novel Approach to the Design of Distributed Dynamic Vibration Absorbers for Plates Subjected to Classical and Elastic Edge Conditions
title_sort novel approach to the design of distributed dynamic vibration absorbers for plates subjected to classical and elastic edge conditions
topic plate
dynamic vibration absorbers
vibration control
classical edge conditions
elastic edge conditions
url https://www.mdpi.com/2077-1312/13/3/401
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