Human-induced vibration assessment of a steel arch footbridge with tapered truss cross-section

Matteo Marra , Emma Ghini , Giada Gasparini , Stefano Silvestri

Advances in Bridge Engineering ›› 2026, Vol. 7 ›› Issue (1) : 1

PDF
Advances in Bridge Engineering ›› 2026, Vol. 7 ›› Issue (1) :1 DOI: 10.1186/s43251-025-00188-y
Technical Note
brief-report

Human-induced vibration assessment of a steel arch footbridge with tapered truss cross-section

Author information +
History +
PDF

Abstract

The serviceability of pedestrian bridges may be affected by the discomfort due to vibrations felt by the users crossing the deck. Design guidelines recommend avoiding critical frequency ranges and provide acceptance criteria for maximum accelerations to assess user discomfort for serviceability conditions. The paper presents selected results from an experimental campaign on a two-hinged steel arch pedestrian bridge, analysing its dynamic response to both ambient and human-induced vibrations. Activities such as walking, running, and jumping are investigated. In this field, many research works are available in the scientific literature, but the vibration analysis of a steel arch footbridge with tapered truss cross-section is still missing. The first six vibration modes of the bridge are identified using the Frequency Domain Decomposition technique, while damping ratios are estimated through Enhanced Frequency Domain Decomposition. Walking and running tests reveal a small shift in the bridge's forced response frequencies compared to its free response. Jumping tests are analysed by isolating specific modal responses and estimating modal damping ratios based on free vibration data after the jump. The study also compares the maximum vertical accelerations recorded during these tests with the acceptance limits provided by technical standards. Overall, the paper provides insight into the vibration assessment of a steel arch footbridge with tapered truss cross-section and offers practical indications for field-data interpretation, as well as reference values of natural frequencies, damping ratios and accelerations for this common kind of infrastructures.

Keywords

Steel arch footbridge / Dynamic identification / Human-induced vibration / Pedestrian comfort assessment / Acceleration acceptance criteria

Cite this article

Download citation ▾
Matteo Marra, Emma Ghini, Giada Gasparini, Stefano Silvestri. Human-induced vibration assessment of a steel arch footbridge with tapered truss cross-section. Advances in Bridge Engineering, 2026, 7(1): 1 DOI:10.1186/s43251-025-00188-y

登录浏览全文

4963

注册一个新账户 忘记密码

References

[1]

Alhasa AA, Vafaei M, Ali SC, Jian TW (2023) Viscoelastic damper for vibration mitigation of footbridges. In IOP Conference Series: Earth and Environmental Science, vol 1205, no 1. IOP Publishing, p 012051. https://doi.org/10.1088/1755-1315/1205/1/012051

[2]

Alhassan MA, Al-Rousan RZ, Al-Khasawneh SI. Control of vibrations of common pedestrian bridges in Jordan using tuned mass dampers. Procedia Manuf, 2020, 44: 36-43

[3]

Bachmann H, Ammann W, (1987) Vibrations in structures: induced by man and machines. (Vol 3) International Association for Bridge and Structural Engineering, Zurich, Switzerland.

[4]

Banerjee S, Saravanan TJ (2024) Utilizing data-driven algorithms for blind modal parameter identification of structures from output-only video measurements. In: Structures, vol 63. Elsevier, p 106410. https://doi.org/10.1016/j.istruc.2024.106410

[5]

Barbosa R, Magalhães F, Caetano E, Cunha A. The Viana footbridge: construction and dynamic monitoring. Proceedings of the Institution of Civil Engineers-Bridge Engineering, 2013, 166(4): 273-290

[6]

Brincker R, Zhang L, Andersen P (2000) Modal identification from ambient responses using frequency domain decomposition. IMAC 18: Proceedings of the International Modal Analysis Conference, San Antonio, Texas, USA, 625–630 February 2000

[7]

Brincker R, Ventura CE, Andersen P (2001) Damping estimation by frequency domain decomposition. In Proceedings of IMAC 19: A conference on structural dynamics: February 5–8, 2001, Hyatt Orlando, Kissimmee, Florida, 2001 (pp. 698–703). Society for Experimental Mechanics

[8]

Brincker R, Ventura C, Andersen P (2003) Why output-only modal testing is a desirable tool for a wide range of practical applications. In: Proceedings of the International Modal Analysis Conference (IMAC) 21: A Conference on Structural Dynamics. pp 265–272

[9]

Brincker R, Ventura C (2015) Introduction to operational modal analysis. John Wiley & Sons, Chichester, United Kingdom

[10]

Caetano E, Cunha A, Magalhães F, Moutinho C. Studies for controlling human-induced vibration of the Pedro e Inês footbridge, Portugal. Part 1: assessment of dynamic behavior. Eng Struct, 2010, 32(4): 1069-1081

[11]

Caetano E, Cunha A, Magalhães F, Moutinho C. Studies for controlling human-induced vibration of the Pedro e Inês footbridge, Portugal. Part 2: implementation of tuned mass dampers. Eng Struct, 2010, 32(4): 1082-1091

[12]

Caetano E, Cunha A (2013) Implementation of a passive control system in a lively footbridge. In: IABSE Symp Rep vol 99, no 20. pp 760–767

[13]

Caetano E, Cunha A, Hoorpah W, Raoul J (2009) Footbridge Vibration Design. 1st Edition. Taylor & Francis Group. London, United Kingdom. https://doi.org/10.1201/9781482266511

[14]

Casiano MJ (2016) Extracting damping ratio from dynamic data and numerical solutions No M-1418

[15]

Chopra AK (2012) Dynamics of structures : theory and applications to earthquake engineering, 4/E. https://www.pearson.com/us/higher-education/product/Chopra-Dynamics-of-Structures-4th-Edition/9780132858038.html

[16]

Cunha A, Caetano E, Magalhães F, Moutinho C. Recent perspectives in dynamic testing and monitoring of bridges. Struct Control Health Monit, 2013, 20(6): 853-877

[17]

Da Silva IAR, Da Silva JGS. Experimental and numerical dynamic structural analysis of footbridges when subjected to pedestrians walking loads. J Civ Struct Health Monit, 2018, 8(4): 585-595

[18]

Dallard P, Fitzpatrick T, Flint A, Low A, Smith RR, Willford M, Roche M. London Millennium Bridge: pedestrian-induced lateral vibration. J Bridge Eng, 2001, 6(6): 412-417

[19]

Duflot P, Taylor D (2008) Fluid viscous dampers: an effective way to suppress pedestrian-induced motions in footbridges. In Third International Conference: Footbridge

[20]

EN 1990, 2002. (2002). Eurocode - Basis of structural design. Eurocode 0

[21]

Feng K, Hester D, Taylor S, O'Higgins C, Ferguson A, Zhu Z, Zou G, Lydon M, Early J. Experimental modal identification of a pedestrian bridge through drive-by monitoring integrated with shared-mobility vehicles. Dev Built Environ, 2024, 20: 100562

[22]

Hajdu Robert (2014) Brücken im Phoenix-Park in Dortmund. Entwurf und Realisierung einer »Brückenfamilie«. In: Brückenbau, vol 6, no 6. pp. 6–12

[23]

Hasan AMD, Ahmad ZAB, Salman Leong M, Hee LM. Enhanced frequency domain decomposition algorithm: a review of a recent development for unbiased damping ratio estimates. J Vibroeng, 2018, 20(5): 1919-1936

[24]

Heinemeyer C, Martin P-O, Trometor S, Keil A, Cunha A, Lukic M, Lemaire A, Butz C, Chabrolin B, Caetano E (2009) Design of Lightweight Footbridges for Human Induced Vibrations: Background document in support to the implementation, harmonization and further development of the Eurocodes; Joint Report, prepared under the JRC-ECCS cooperation agreement for the evolution of Eurocode 3 (programme of CEN/TC 250) (No. RWTH-CONV-009271). Lehrstuhl für Stahl-und Leichtmetallbau und Institut für Stahlbau. Office for Official Publications of the European Communities, Luxembourg

[25]

Jiménez-Alonso JF, Soria JM, Díaz IM, Guillen-Gonzalez F (2021) A common framework for the robust design of tuned mass damper techniques to mitigate pedestrian-induced vibrations in lively footbridges. In Structures vol 34. Elsevier, pp 1276–1290. https://doi.org/10.1016/j.istruc.2021.08.070

[26]

Li Y, Zhang X, Wang C, Zhang Y, Wei X. Human-induced vertical vibration of a glass suspension footbridge: experimental study and numerical analysis. Struct Infrastruct Eng, 2023, 0(01-19

[27]

Maraveas C, Fasoulakis Z, Tsavdaridis K. A review of human induced vibrations on footbridges. Am J Eng Appl Sci, 2015, 8(4): 422-433

[28]

NTC 2018 (2018) Norme tecniche per le costruzioni. DM 17/1/2018. In: Gazzetta Ufficiale della Repubblica Italiana, vol 20. https://www.gazzettaufficiale.it/eli/gu/2018/02/20/42/so/8/sg/pdf

[29]

Peeters B (2000) System identification and damage detection in civil engineering. Dissertation, Katholike Universite Leuven, Belgium

[30]

Peeters B, De Roeck G. Reference-based stochastic subspace identification for output-only modal analysis. Mech Syst Signal Process, 1999, 13(6): 855-878

[31]

Quqa S, Giordano PF, Limongelli MP. Shared micromobility-driven modal identification of urban bridges. Autom Constr, 2022, 134: 104048

[32]

Racic V, Pavic A, Brownjohn JMW. Experimental identification and analytical modelling of human walking forces: literature review. J Sound Vib, 2009, 326: 1-49

[33]

Rainieri C, Fabbrocino G. Operational modal analysis of civil engineering structures: an introduction and guide for applications, 2014, New York, Springer142143

[34]

Setra AFGC (2006) Footbridges. Assessment of vibrational behaviour of footbridges under pedestrian loading. Technical guide SETRA, Paris, France.

[35]

Shahabpoor E, Pavic A, Racic V. Interaction between walking humans and structures in vertical direction: a literature review. Shock Vib, 2016, 1: 3430285

[36]

Van Nimmen K, Lombaert G, De Roeck G, Van den Broeck P. Vibration serviceability of footbridges: evaluation of the current codes of practice. Eng Struct, 2014, 59: 448-461

[37]

Van Nimmen K, Van Hauwermeiren J, Van den Broeck P. Eeklo Footbridge: Benchmark Dataset on Pedestrian-Induced Vibrations. J Bridg Eng, 2021, 26(7): 1-17

[38]

Wang D, Wu C, Zhang Y, Li S. Study on vertical vibration control of long-span steel footbridge with tuned mass dampers under pedestrian excitation. J Constr Steel Res, 2019, 154: 84-98

[39]

Welch P. The use of fast Fourier transform for the estimation of power spectra: a method based on time averaging over short, modified periodograms. IEEE Trans Audio Electroacoust, 1967, 15(2): 70-73

[40]

Wirsching PH, Paez TL, Ortiz K (2006) Random vibrations: theory and practice. Courier Corporation. John Wiley & Sons. New York, United States.

[41]

Zivanovic S, Pavic A, Reynolds P. Vibration serviceability of footbridges under human-induced excitation: a literature review. J Sound Vib, 2005, 279: 1-74

RIGHTS & PERMISSIONS

The Author(s)

PDF

41

Accesses

0

Citation

Detail

Sections
Recommended

/