Case Studies
Sep 7, 2021

Glass Suspension Footbridge: Human-Induced Vibration, Serviceability Evaluation, and Vibration Mitigation

Publication: Journal of Bridge Engineering
Volume 26, Issue 11

Abstract

Glass suspension footbridges or glass-bottomed suspension footbridges, such as the Zhangjiajie Grand Canyon Glass Bridge in China, are increasingly constructed in scenic regions as tourist attractions due to the glass-bottomed and transparent characteristics. Being installed in the second phase as a constant load, the glass deck is not designed to participate in the load bearing of the whole structure and thus the structure requires larger load-bearing capacity from other parts and a slightly different load-bearing system. More importantly, the glass deck weakens structural integrity and results in slightly smaller structural stiffness, which may result in globally lower natural frequencies. These structures may inevitably be more sensitive to the pedestrian-induced excitations. This paper investigates the human-induced vibrations of a typical glass suspension footbridge in China. The investigations are first performed based on intensive parametric studies. Except for the boundary conditions, the interlayers of glass, the vertical rise–span ratio and the axial stiffness of main cables, other governing parameters of the modal parameters for this type of structures are also identified, including the pavement load of the bridge deck system, the central buckle, and the prestress of wind-resistant cables. It may guide designers to take effective measures to improve the dynamic behavior of this type of structure. Next, the vibration serviceability assessments were performed based on different standards and guidelines such as the UK National Annex (NA) to Eurocode 1 (2008), the Bro2004 specification of Sweden, the HiVoSS guideline, and the ISO standard. Comparisons show that the UK NA to Eurocode 1, the HiVoSS guideline, and the ISO standard are more suitable for the vibration serviceability evaluations. These three codes consider the pedestrian-induced vibrations in both lateral and vertical directions and also consider both a small number of pedestrians and crowd-induced loads with different densities. Furthermore, comfort limits are not defined by only one limiting value but sorted into different levels. This may provide reference for the vibration serviceability evaluations of the other glass suspension footbridges. The assessments also show that changing the structural parameters can only partially reduce vibration levels and may result in different modal parameters to dominate the vibration responses. Thus, they recommend taking vibration mitigation measures to improve the vibration serviceability and suggest performing careful response calculations to ensure the effectiveness of vibration serviceability design if via changing the structural parameters. Finally, tuned mass dampers (TMDs) are installed to the structure. The results show that the popular TMD may effectively reduce the vibration levels.

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Acknowledgments

The authors acknowledge the technical supports from the bridge design office in Hebei Province, China.

References

Bedon, C. 2019a. “Diagnostic analysis and dynamic identification of a glass suspension footbridge via on-site vibration experiments and FE numerical modelling.” Compos. Struct. 216: 366–378. https://doi.org/10.1016/j.compstruct.2019.03.005.
Bedon, C. 2019b. “Issues on the vibration analysis of in-service laminated glass structures: Analytical, experimental and numerical investigations on delaminated beams.” Appl. Sci. 9 (18): 3928. https://doi.org/10.3390/app9183928.
Bedon, C. 2020. “Experimental investigation on vibration sensitivity of an indoor glass footbridge to walking conditions.” J. Build. Eng. 29: 101195. https://doi.org/10.1016/j.jobe.2020.101195.
Bedon, C., and M. Fasan. 2019. “Reliability of field experiments, analytical methods and pedestrian’s perception scales for the vibration serviceability assessment of an in-service glass walkway.” Appl. Sci. 9 (9): 1936. https://doi.org/10.3390/app9091936.
Bedon, C., M. Fasan, and C. Amadio. 2019. “Vibration analysis and dynamic characterization of structural glass elements with different restraints based on operational modal analysis.” Buildings 9 (1): 13. https://doi.org/10.3390/buildings9010013.
BSI (British Standards Institution). 2008. UK national annex to Eurocode 1: Actions on structures—Part 2: Traffic loads on bridges. NA to BS EN 1991-2:2003. London: BSI.
Chen, Z., and X. Hua. 2009. Vibration and dynamic design of footbridge. [In Chinese.] Beijing: People’s Communications Press.
Chopra, A. 2012. Dynamics of structures: Theory and applications to earthquake engineering. 4th ed. Hoboken, NJ: Prentice-Hall.
Cui, Y., R. Li, Z. Xu, and X. Li. 2019. “Influence of wind resistant cable on dynamic characteristics and comfort of pedestrian suspension bridge with glass deck.” [In Chinese.] Steel Struct. 34 (11): 86–90.
Da Silva, J. G. S., P. D. S. Vellasco, S. A. L. De Andrade, L. R. O. De Lima, and F. P. Figueiredo. 2007. “Vibration analysis of footbridges due to vertical human loads.” Comput. Struct. 85 (21–22): 1693–1703. https://doi.org/10.1016/j.compstruc.2007.02.012.
Dall’Asta, A., L. Ragni, A. Zona, L. Nardini, and W. Salvatore. 2016. “Design and experimental analysis of an externally prestressed steel and concrete footbridge equipped with vibration mitigation devices.” J. Bridge Eng. 21 (8): C5015001. https://doi.org/10.1061/(ASCE)BE.1943-5592.0000842.
Dallard, P., T. Fitzpatrick, A. Flint, A. Low, R. R. Smith, M. Willford, and M. Roche. 2001. “London millennium bridge: Pedestrian-induced lateral vibration.” J. Bridge Eng. 6 (6): 412–417. https://doi.org/10.1061/(ASCE)1084-0702(2001)6:6(412).
Den Hartog, J. P. 1985. Mechanical vibrations. New York: Dover Publications.
Feldmann, M. et al. 2008. Research fund for coal and steel, HiVoSS (human induced vibrations of steel structures): Design of footbridges. Luxembourg: Publications Office of the European Union.
Feldmann, M., R. Kasper, and B. Abeln. 2014. Guidance for European structural design of glass components, 1–196. Luxembourg: Publications Office of the European Union.
Fu, B., and X. Wei. 2020. “An intelligent analysis method for human-induced vibration of concrete footbridges.” Int. J. Struct. Stab. Dyn. 21 (1): 2150013. https://doi.org/10.1142/S0219455421500139.
Fujino, Y., B. M. Pacheco, S. I. Nakamura, and P. Warnitchai. 1993. “Synchronization of human walking observed during lateral vibration of a congested pedestrian bridge.” Earthquake Eng. Struct. Dyn. 22 (9): 741–758. https://doi.org/10.1002/eqe.4290220902.
Gonilha, J. A., J. R. Correia, and F. A. Branco. 2013. “Dynamic response under pedestrian load of a GFRP–SFRSCC hybrid footbridge prototype: Experimental tests and numerical simulation.” Compos. Struct. 95: 453–463. https://doi.org/10.1016/j.compstruct.2012.07.029.
Grigorjeva, T., and Z. Kamaitis. 2014. “Effects of cable flexural rigidity on the free vibrations of suspension bridges.” In 2014 Int. Conf.e on Mechanics and Civil Engineering, 32–37. Dordrecht, Netherlands: Atlantis Press.
Grigorjeva, T., and Z. Kamaitis. 2015. “Numerical analysis of the effects of the bending stiffness of the cable and the mass of structural members on free vibrations of suspension bridges.” J. Civ. Eng. Manage. 21 (7): 948–957. https://doi.org/10.3846/13923730.2015.1055787.
Guan, Q., Y. Zhou, J. Li, Z. Hu, and J. Liu. 2018. “Parameter analysis of nonlinear static wind stability of pedestrian suspension bridge with main span of 420 m.” [In Chinese.] Vib. Impact 37 (9): 155–160.
Haldimann, M., A. Luible, and M. Overend. 2008. Structural use of glass. Zurich, China: IABSE.
Han, Y., K. Li, and C. S. Cai. 2020. “Study of central buckle effects on flutter of long-span suspension bridges.” Smart Struct. Syst. 31 (5): 403–418. https://doi.org/10.12989/was.2020.31.5.403.
Hu, T. F., X. G. Hua, W. W. Zhang, and Q. S. Xian. 2016. “Influence of central buckles on the modal characteristics of long-span suspension bridge.” J. Highway Transp. Res. Dev. 10 (1): 72–77. https://doi.org/10.1061/JHTRCQ.0000488.
Ingólfsson, E. T., C. T. Georgakis, and J. Jönsson. 2012. “Pedestrian-induced lateral vibrations of footbridges: A literature review.” Eng. Struct. 45: 21–52. https://doi.org/10.1016/j.engstruct.2012.05.038.
ISO (International Organization for Standardization). 2007. Bases for design of structures–serviceability of buildings and walkways against vibrations. ISO 10137. Geneva: ISO.
Ji, T., and A. Pachi. 2005. “Frequency and velocity of people walking.” Struct. Eng. 84 (3): 36–40.
Jimenez-Alonso, J. F., and A. Saez. 2018. “Motion-based design of TMD for vibrating footbridges under uncertainty conditions.” Smart Struct. Syst. 21 (6): 727–740.
Li, C., X. Xu, and S. Qiang. 2014. “Dynamic characteristic parameter analysis of super long span CFRP main cable suspension bridge.” [In Chinese.] J. Southwest Jiaotong Univ. 49 (3): 419–424.
Luo, L., J. Feng, Y. Yang, and W. Qin. 2019. “The scientific layouts of glass bridges in tourist areas from the perspective of sustainable development.” In Proc., 1st Int. Symp. on Economic Development and Management Innovation, 333–338. Dordrecht, Netherlands: Atlantis Press.
Máca, J., and J. Štěpánek. 2017. “Pedestrian load models of footbridges.” MATEC Web Conf. 107: 00009. https://doi.org/10.1051/matecconf/201710700009.
Moreno-Mínguez, A., L. C. Martinez-Fernandez, and A. Carrasco-Campos. 2016. “Family policy indicators and well-being in Europe from an evolutionary perspective.” Appl. Res. Qual. Life 11 (2): 343–367. https://doi.org/10.1007/s11482-014-9326-2.
Peng, J., J. Ma, Y. Du, L. Zhang, and X. Hu. 2016. “Ecological suitability evaluation for mountainous area development based on conceptual model of landscape structure, function, and dynamics.” Ecol. Indic. 61: 500–511. https://doi.org/10.1016/j.ecolind.2015.10.002.
Qin, F. J., J. Di, J. Dai, and G. L. Li. 2014. “Influence of central buckle on dynamic behaviour of long-span suspension bridge with deck-truss composite stiffening girder.” Adv. Mater. Res. 838–841: 1096–1101. https://doi.org/10.4028/www.scientific.net/AMR.838-841.1096.
Swedish Road Authorities. 2004. “Bro 2004: Vägverkets allmänna tekniska beskrivning för nybyggande och förbättring av broar.” [In Swedish.]
The Guardian. 2016. “World’s longest glass bridge closes for maintenance two weeks after opening.” September 3, 2016.
Wan, T. 2017. “Key techniques of design of special shape glass floor suspension bridge over Zhangjiajie grand canyon.” [In Chinese.] Bridge Constr. 47 (1): 6–11.
Wang, H., K. G. Zou, A. Q. Li, and C. K. Jiao. 2010. “Parameter effects on the dynamic characteristics of a super-long-span triple-tower suspension bridge.” J. Zhejiang Univ. Sci. A 11 (5): 305–316. https://doi.org/10.1631/jzus.A0900496.
Wu, C., Z. Zhang, and X. Wu. 2017. “Influence of wind resistant cable on dynamic characteristics and static wind stability of pedestrian suspension bridge.” [In Chinese.] Bridge Constr. 47 (3): 77–82.
Xia, Z. et al. 2016. “Sensitivity analysis of dynamic characteristics of self-anchored suspension bridge with super wide stiffening beam.” [In Chinese.] J. Southeast Univ. 46 (2): 360–364.
Xu, L., M. Tao, J. Fan, and F. Du. 2016. “Comfort analysis of long-span steel-concrete composite footbridge.” [In Chinese.] J. Build. Struct. 37 (5): 138–145.
Xu, X., S. Qiang, and S. He. 2008. “Influence of central buckle on dynamic characteristics of long span suspension bridge and excitation response of vehicle train.” [In Chinese.] Chin. J. Highway 19 (6): 57–63.
Yang, H. Y., T. Y. Zhong, and H. Xia. 2015. “Study on effect and mechanism of central buckle on seismic responses of long span suspension bridge.” J. China Railway Soc. 5: 94–100. https://doi.org/10.3969/j.issn.1001-8361.2015.05.016.
Živanović, S., A. Pavic, and P. Reynolds. 2005. “Vibration serviceability of footbridges under human-induced excitation: A literature review.” J. Sound Vib. 279 (1–2): 1–74. https://doi.org/10.1016/j.jsv.2004.01.019.

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Go to Journal of Bridge Engineering
Journal of Bridge Engineering
Volume 26Issue 11November 2021

History

Received: Mar 4, 2021
Accepted: Jul 28, 2021
Published online: Sep 7, 2021
Published in print: Nov 1, 2021
Discussion open until: Feb 7, 2022

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Authors

Affiliations

Ming Gong, Ph.D.
School of Civil Engineering, Southwest Jiaotong Univ., Chengdu 610031, China.
Yunsheng Li
Professor, School of Civil Engineering, Shijiazhuang Tiedao Univ., Shijiazhuang 050043, China.
Ruili Shen, M.ASCE
Professor, School of Civil Engineering, Southwest Jiaotong Univ., Chengdu 610031, China.
Ph.D. and Scientific Staff, Dept. of Civil and Environmental Engineering Sciences, Ruhr-Universität Bochum, Universitätsstraße 150, D-44780 Bochum, Germany (corresponding author). Email: [email protected]

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