Next Article in Journal
The Underground Economy and Carbon Dioxide (CO2) Emissions in China
Previous Article in Journal
Eating Habits and Sustainable Food Production in the Development of Innovative “Healthy” Snacks
Article

Optimal Design and Application of a Multiple Tuned Mass Damper System for an In-Service Footbridge

by 1,2 and 1,*
1
Department of Disaster Mitigation for Structures, Tongji University, Shanghai 200092, China
2
Shanghai Research Institute of Building Sciences, Shanghai 200032, China
*
Author to whom correspondence should be addressed.
Sustainability 2019, 11(10), 2801; https://doi.org/10.3390/su11102801
Received: 23 April 2019 / Revised: 13 May 2019 / Accepted: 14 May 2019 / Published: 16 May 2019
(This article belongs to the Section Sustainable Engineering and Science)
Slender steel footbridges suffer excessive human-induced vibrations due to their low damping nature and their frequency being located in the range of human-induced excitations. Tuned mass dampers (TMDs) are usually used to solve the serviceability problem of footbridges. A multiple TMD (MTMD) system, which consists of several TMDs with different frequencies, has a wide application in the vibration control of footbridges. An MTMD system with well-designed parameters will have a satisfactory effect for vibration control. This study firstly discusses the relationship between the acceleration dynamic amplification factor and important parameters of an MTMD system, i.e., the frequency bandwidth, TMD damping ratio, central frequency ratio, mass ratio and the number of TMDs. Then, the frequency bandwidth and damping ratio optimal formulas are proposed according to the parametric study. At last, an in-service slender footbridge is proposed as a case study. The footbridge is analyzed through a finite element model and an in situ test, and then, an MTMD system is designed based on the proposed optimal design formulas. The vibration control effect of the MTMD system is verified through a series of in situ comparison tests. Results show that under walking, running and jumping excitations with different frequency, the MTMD system always has an excellent vibration control effect. Under a crowd-induced excitation with the resonance frequency, the footbridge with an MTMD system can meet the acceleration limit requirement. It is also found that the analysis result agrees well with the in situ test. View Full-Text
Keywords: footbridge; serviceability problem; multiple tuned mass damper; optimal design; in situ test; human-induced vibration; passive control footbridge; serviceability problem; multiple tuned mass damper; optimal design; in situ test; human-induced vibration; passive control
Show Figures

Figure 1

MDPI and ACS Style

Wang, C.; Shi, W. Optimal Design and Application of a Multiple Tuned Mass Damper System for an In-Service Footbridge. Sustainability 2019, 11, 2801. https://doi.org/10.3390/su11102801

AMA Style

Wang C, Shi W. Optimal Design and Application of a Multiple Tuned Mass Damper System for an In-Service Footbridge. Sustainability. 2019; 11(10):2801. https://doi.org/10.3390/su11102801

Chicago/Turabian Style

Wang, Chao, and Weixing Shi. 2019. "Optimal Design and Application of a Multiple Tuned Mass Damper System for an In-Service Footbridge" Sustainability 11, no. 10: 2801. https://doi.org/10.3390/su11102801

Find Other Styles
Note that from the first issue of 2016, MDPI journals use article numbers instead of page numbers. See further details here.

Article Access Map by Country/Region

1
Back to TopTop