Study on the Application of Determinant-MTMD(TMDD) Vibration Reduction in Cable-Supported Pedestrian Suspension Bridge

In this study, multiple tuned mass dampers (MTMDs) were studied to understand their impact on the human-induced vibration response and comfort level of a pedestrian cable-supported suspension bridge. A spatial finite element model based on a specific engineering case was established. The dynamic cha...

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Main Authors: Zhen Li, Dejian Li, Jincheng Li, Chenxi Zhao, Xuezhi Cheng, Yao Lu
Format: Article
Language:English
Published: MDPI AG 2024-10-01
Series:Buildings
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Online Access:https://www.mdpi.com/2075-5309/14/11/3417
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author Zhen Li
Dejian Li
Jincheng Li
Chenxi Zhao
Xuezhi Cheng
Yao Lu
author_facet Zhen Li
Dejian Li
Jincheng Li
Chenxi Zhao
Xuezhi Cheng
Yao Lu
author_sort Zhen Li
collection DOAJ
description In this study, multiple tuned mass dampers (MTMDs) were studied to understand their impact on the human-induced vibration response and comfort level of a pedestrian cable-supported suspension bridge. A spatial finite element model based on a specific engineering case was established. The dynamic characteristics of the bridge under human-induced loads were investigated, and its comfort level under human-induced vibrations was analyzed using the time-history method. Then, this study adjusted the design parameters of the dampers based on various optimal damper parameter expressions. Furthermore, the damping effectiveness of MTMD under different mass ratios (<inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mi>μ</mi></mrow></semantics></math></inline-formula>) was evaluated, and it was found that increasing the mass ratio significantly impacts damping performance. Finally, determinant-TMD (TMDD) was introduced, and a comparison between the damping effect, robustness, and performance of TMDD and MTMD was conducted. The results indicate that while increasing the mass ratio does not linearly affect maximum vibration acceleration, the damping effect increases initially and then stabilizes, with a damping rate converging at approximately 55%. However, with the TMDD approach, the maximum damping rate can reach approximately 70%, enhancing comfort levels from the “minimum CL3” achieved with MTMD to the “medium CL2” level. Additionally, while TMDD’s robustness is slightly inferior to MTMD at lower mass ratios, it demonstrates superior robustness at higher mass ratios.
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spelling doaj-art-0d683a45d99244a7b3cb8071096c02ce2025-08-20T01:53:44ZengMDPI AGBuildings2075-53092024-10-011411341710.3390/buildings14113417Study on the Application of Determinant-MTMD(TMDD) Vibration Reduction in Cable-Supported Pedestrian Suspension BridgeZhen Li0Dejian Li1Jincheng Li2Chenxi Zhao3Xuezhi Cheng4Yao Lu5College of Civil Engineering, Central South University, Changsha 410075, ChinaCollege of Civil Engineering, Central South University, Changsha 410075, ChinaHunan Dellson Bridge Technology Service Co., Ltd., Changsha 410075, ChinaCollege of Transportation Engineering, Tongji University, Shanghai 200070, ChinaHebei Tonghua Highway Materials Co., Ltd., Shijiazhuang 050019, ChinaCollege of Civil Engineering, Zhengzhou University, Zhengzhou 450001, ChinaIn this study, multiple tuned mass dampers (MTMDs) were studied to understand their impact on the human-induced vibration response and comfort level of a pedestrian cable-supported suspension bridge. A spatial finite element model based on a specific engineering case was established. The dynamic characteristics of the bridge under human-induced loads were investigated, and its comfort level under human-induced vibrations was analyzed using the time-history method. Then, this study adjusted the design parameters of the dampers based on various optimal damper parameter expressions. Furthermore, the damping effectiveness of MTMD under different mass ratios (<inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mi>μ</mi></mrow></semantics></math></inline-formula>) was evaluated, and it was found that increasing the mass ratio significantly impacts damping performance. Finally, determinant-TMD (TMDD) was introduced, and a comparison between the damping effect, robustness, and performance of TMDD and MTMD was conducted. The results indicate that while increasing the mass ratio does not linearly affect maximum vibration acceleration, the damping effect increases initially and then stabilizes, with a damping rate converging at approximately 55%. However, with the TMDD approach, the maximum damping rate can reach approximately 70%, enhancing comfort levels from the “minimum CL3” achieved with MTMD to the “medium CL2” level. Additionally, while TMDD’s robustness is slightly inferior to MTMD at lower mass ratios, it demonstrates superior robustness at higher mass ratios.https://www.mdpi.com/2075-5309/14/11/3417cable-supported pedestrian suspension bridgemultiple tuned mass dampers (MTMDs)determinant multiple tuned mass damper (TMDD)human-induced vibrationrobustness
spellingShingle Zhen Li
Dejian Li
Jincheng Li
Chenxi Zhao
Xuezhi Cheng
Yao Lu
Study on the Application of Determinant-MTMD(TMDD) Vibration Reduction in Cable-Supported Pedestrian Suspension Bridge
Buildings
cable-supported pedestrian suspension bridge
multiple tuned mass dampers (MTMDs)
determinant multiple tuned mass damper (TMDD)
human-induced vibration
robustness
title Study on the Application of Determinant-MTMD(TMDD) Vibration Reduction in Cable-Supported Pedestrian Suspension Bridge
title_full Study on the Application of Determinant-MTMD(TMDD) Vibration Reduction in Cable-Supported Pedestrian Suspension Bridge
title_fullStr Study on the Application of Determinant-MTMD(TMDD) Vibration Reduction in Cable-Supported Pedestrian Suspension Bridge
title_full_unstemmed Study on the Application of Determinant-MTMD(TMDD) Vibration Reduction in Cable-Supported Pedestrian Suspension Bridge
title_short Study on the Application of Determinant-MTMD(TMDD) Vibration Reduction in Cable-Supported Pedestrian Suspension Bridge
title_sort study on the application of determinant mtmd tmdd vibration reduction in cable supported pedestrian suspension bridge
topic cable-supported pedestrian suspension bridge
multiple tuned mass dampers (MTMDs)
determinant multiple tuned mass damper (TMDD)
human-induced vibration
robustness
url https://www.mdpi.com/2075-5309/14/11/3417
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