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Analysis of human-footbridge-MTMD coupled system and MTMD optimization design based on the pseudo-excitation method
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Jinlong WEN1, 2, Yang LI1, Zhihao WANG1, 3, Aijiu CHEN1, Mingyi HU4
Journal of Vibration Engineering | 2025, 38(4) : 794 - 802
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Journal of Vibration Engineering | 2025, 38(4): 794-802
Analysis of human-footbridge-MTMD coupled system and MTMD optimization design based on the pseudo-excitation method
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Jinlong WEN1, 2, Yang LI1, Zhihao WANG1, 3, Aijiu CHEN1, Mingyi HU4
Affiliations
  • 1.College of Civil Engineering and Communication，North China University of Water Resources and Electric Power，Zhengzhou 450045，China
  • 2.Faculty of Civil Engineering and Mechanics，Kunming University of Science and Technology，Kunming 650000，China
  • 3.Henan Engineering Research Center for Structural Vibration Control and Health Monitoring，Zhengzhou 450045，China
  • 4.Engineering Vibration Control Technology Research Center of State Machinery Group Science and Technology Research Institute Co.，Ltd.，Beijing 100083，China
Published: 2025-04-10 doi: 10.16385/j.cnki.issn.1004-4523.2025.04.015
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To establish the optimal design method of multiple tuned mass damper（MTMD）for the footbridge considering the vertical human-structure interaction，the parameters randomness of the mass-spring-damper（MSD）pedestrian model is simulated，and the vertical dynamic response of the random crowd-footbridge-MTMD system is calculated based on the pseudo-excitation method. Then，the effect of vertical human-structure interaction on the dynamic response of the footbridge-TMD system is demonstrated. Finally，based on the H2 performance of the acceleration transfer function and response surface methodology of the coupled system，an optimal design method of MTMD for footbridge vibration control considering vertical human-structure interaction is established. The results show that the dynamic response calculation method of the coupled system avoids a large number of nonlinear time history analyses，and the power spectrum and root mean square of the coupled system response can be obtained efficiently. The vertical human-structure interaction makes the TMD detuning effect significant，and the reduction rate of TMD with 3% mass ratio decreases by 37.19% when the crowd density increases from 0.25 person/m2 to 1.25 person/m2. The proposed MTMD optimization design method for footbridge has an average mitigation rate of over 70% for footbridge acceleration response.

vertical human-structure interaction  /  footbridge  /  random crowd  /  vibration control with MTMD  /  pseudo-excitation method
Jinlong WEN, Yang LI, Zhihao WANG, Aijiu CHEN, Mingyi HU. Analysis of human-footbridge-MTMD coupled system and MTMD optimization design based on the pseudo-excitation method[J]. Journal of Vibration Engineering, 2025 , 38 (4) : 794 -802 . DOI: 10.16385/j.cnki.issn.1004-4523.2025.04.015
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Year 2025 volume 38 Issue 4
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Article Info
doi: 10.16385/j.cnki.issn.1004-4523.2025.04.015
  • Receive Date：2023-07-21
  • Online Date：2026-02-12
  • Published：2025-04-10
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History
  • Received：2023-07-21
  • Revised：2023-09-25
Funding
Affiliations
    1.College of Civil Engineering and Communication，North China University of Water Resources and Electric Power，Zhengzhou 450045，China
    2.Faculty of Civil Engineering and Mechanics，Kunming University of Science and Technology，Kunming 650000，China
    3.Henan Engineering Research Center for Structural Vibration Control and Health Monitoring，Zhengzhou 450045，China
    4.Engineering Vibration Control Technology Research Center of State Machinery Group Science and Technology Research Institute Co.，Ltd.，Beijing 100083，China
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https://castjournals.cast.org.cn/joweb/zdgcxb/EN/10.16385/j.cnki.issn.1004-4523.2025.04.015
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栓菌属 Trametes 5 2.39
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