journal article·2020-06-29Open access

Experimental and Numerical Study on Dynamics of Two Footbridges with Different Shapes of Girders

Anna Banas, Robert Jankowski

Applied Sciences· Volume 10· Issue 13

Abstract

The paper presents the experimental and numerical results of the dynamic system identification and verification of the behavior of two footbridges in Poland. The experimental part of the study involved vibration testing under different scenarios of human-induced load, impulse load, and excitations induced by vibration exciter. Based on the results obtained, the identification of dynamic parameters of the footbridges was performed using the peak-picking method. With the impulse load applied to both structures, determination of their natural vibration frequencies was possible. Then, based on the design drawings, detailed finite element method (FEM) models were developed, and the numerical analyses were carried out. The comparison between experimental and numerical results obtained from the modal analysis showed a good agreement. The results also indicated that both structures under investigation have the first natural bending frequency of the deck in the range of human-induced excitation. Therefore, the risk of excessive structural vibrations caused by pedestrian loading was then analysed for both structures. The vibration comfort criteria for both footbridges were checked according to Sétra guidelines. In the case of the first footbridge, the results showed that the comfort criteria are fulfilled, regardless of the type of load. For the second footbridge, it was emphasized that the structure meets the assumptions of the guidelines for vibration severability in normal use; nevertheless, it is susceptible to excitations induced by synchronized users, even in the case of a small group of pedestrians.
Source: crossref · Quality: baseline

Research context

OpenAlex topics: Structural Engineering and Vibration Analysis · Structural Health Monitoring Techniques · Railway Engineering and Dynamics

SciVX discovery tags are terminology-based. OpenAlex topics are source-provided classifications.

Affiliations

Faculty of Civil and Environmental Engineering, Gdansk University of Technology, 80-233 Gdansk, Poland

References (83)

Show source-provided references
1. Response Spectra of Ground Motions and Building Foundation Vibrations Excited by Rockbursts in the LGC Region10.1193/020515EQS022M ↗
2. Seismic pounding behavior of multi-story buildings in series considering the effect of infill panels10.1016/j.engstruct.2017.01.078 ↗
3. Falborski, T., and Jankowski, R. (2017). Experimental Study on Effectiveness of a Prototype Seismic Isolation System Made of Polymeric Bearings. Appl. Sci., 7.10.3390/app7080808 ↗
4. Seismic pounding between adjacent buildings: Identification of parameters, soil interaction issues and mitigation measures10.1016/j.soildyn.2019.02.024 ↗
5. Non-linear strain rate analysis of earthquake-induced pounding between steel buildings
6. The ratio of response spectra from seismic-type free-field and building foundation vibrations: The influence of rockburst parameters and simple models of kinematic soil-structure interaction10.1007/s10518-019-00734-w ↗
7. Vibration serviceability assessment of GFRP pedestrian bridges10.1016/j.engstruct.2019.01.072 ↗
8. Flaga, A. (2011). Footbridges, WKŁ.
9. Vibration serviceability of footbridges under human-induced excitation: A literature review10.1016/j.jsv.2004.01.019 ↗
10. The London Millennium Footbridge
11. London Millennium Bridge: Pedestrian-Induced Lateral Vibration10.1061/(ASCE)1084-0702(2001)6:6(412) ↗
12. Dallard, P. (2005). Pedestrian Excitation on the London Millennium Footbridge. Struct. Congr., 1–13.10.1061/40753(171)138 ↗
13. La passerelle Solférino. Comportement dynamique
14. Autoparametric Resonance in a Pedestrian Steel Arch Bridge: Solferino Bridge, Paris10.1061/(ASCE)1084-0702(2007)12:6(669) ↗
15. Studies for controlling human-induced vibration of the Pedro e Inês footbridge, Portugal. Part 1: Assessment of dynamic behavior10.1016/j.engstruct.2009.12.034 ↗
16. Studies for controlling human-induced vibration of the Pedro e Inês footbridge, Portugal. Part 2: Implementation of tuned mass dampers10.1016/j.engstruct.2009.12.033 ↗
17. Modal testing and FE model tuning of a lively footbridge structure10.1016/j.engstruct.2005.10.012 ↗
18. Serviceability assessment of the Góis footbridge using vibration monitoring10.1016/j.csndt.2014.10.001 ↗
19. Lateral vibration of footbridges by synchronous walking10.1016/j.jcsr.2006.06.023 ↗
20. Simplified procedures for vibration serviceability analysis of footbridges subjected to realistic walking loads10.1016/j.compstruc.2009.04.006 ↗
21. Vibration serviceability of footbridges: Evaluation of the current codes of practice10.1016/j.engstruct.2013.11.006 ↗
22. Experimental and numerical serviceability assessment of a steel suspension footbridge10.1016/j.jcsr.2017.01.005 ↗
23. Human-induced vibrations of a curved cable-stayed footbridge10.1016/j.jcsr.2018.02.001 ↗
24. Sétra/Afgc (2006). Sétra Technical Guide Footbridges Assessment of Vibrational Behavior of Footbridges under Pedestrian Loading, Sétra/Afgc.
25. Feldmann, M. (2010). Human-Induced Vibration of Steel Structures (Hivoss): Designing of Footbridges, Publications Office of the European Union. Reaserch Fund for Coal and Steel.
26. Long span steel pedestrian bridge at Singapore Changi Airport—Part 1: Prediction of vibration serviceability problems
27. Long span steel pedestrian bridge at Singapore Changi Airport—Part 2: Crowd loading tests and vibration mitigation measures
28. Butz, C., Schürmann, C.J., and Benicke, O.S. (2011, January 6–8). Tuned Mass Dampers for the Footbridge of VW Autostadt in Wolfsburg, Germany. Proceedings of the 4th international footbridge conference, Wroclaw, Poland.
29. Ainsworth, I., Franklin, K., and Burnton, P. (2011, January 6–8). Kurilpa Bridge—A Case Study. Proceedings of the 4th International Footbridge Conference, Wroclaw, Poland.
30. Investigation of the wind-resistant performance of seismic viscous dampers on a cable-stayed bridge10.1016/j.engstruct.2017.05.008 ↗
31. Preumont, A., Voltan, M., Sangiovanni, A., Mokrani, B., and Alaluf, D. (2015). Active Tendon Control of Suspension Bridges. Smart Struct. Syst., 18.10.12989/sss.2016.18.1.031 ↗
32. Structural Identification: Opportunities and Challenges10.1061/(ASCE)ST.1943-541X.0000723 ↗
33. Structural Identification of a Concrete-Filled Steel Tubular Arch Bridge via Ambient Vibration Test Data10.1061/(ASCE)BE.1943-5592.0001086 ↗
34. Maia, N.M.M., and Silva, J.M.M. (1997). Theoretical and Experimental Modal Analysis, Research Studies Press.
35. Ewins, D.J. (2000). Modal Testing: Theory, Practice, and Application, Research Studies Press.
36. Heylen, W., Lammens, S., and Sas, P. (2007). Modal Analysis Theory and Testing, Katholieke Universiteit Leuven.
37. Ambient Vibration Testing of a Pedestrian Bridge Using Low-Cost Accelerometers for SHM Applications10.3390/smartcities2010002 ↗
38. Study on applicability of two modal identification techniques in irrelevant cases10.1007/s43452-020-0014-8 ↗
39. Operational modal analysis of an eleven-span concrete bridge subjected to weak ambient excitations10.1016/j.engstruct.2017.08.066 ↗
40. Modal identification of output-only systems using frequency domain decomposition10.1088/0964-1726/10/3/303 ↗
41. Xiong, C., Lu, H., and Zhu, J. (2017). Operational Modal Analysis of Bridge Structures with Data from GNSS/Accelerometer Measurements. Sensors, 17.10.3390/s17030436 ↗
42. Jr, R.R.C., and Kurdila, A.J. (2011). Fundamentals of Structural Dynamics, John Wiley & Sons.
43. Reference based stochastic subspace identification in civil engineering10.1080/174159700088027718 ↗
44. An eigensystem realization algorithm for modal parameter identification and model reduction10.2514/3.20031 ↗
45. Comparative Study of Modal Analysis Techniques for Bridge Dynamic Characteristics10.1006/mssp.2002.1568 ↗
46. Stochastic System Identification for Operational Modal Analysis: A Review10.1115/1.1410370 ↗
47. Drygala, I.J., and Dulinska, J.M. (2019). Full-Scale Experimental and Numerical Investigations on the Modal Parameters of a Single-Span Steel-Frame Footbridge. Symmetry, 11.10.3390/sym11030404 ↗
48. Output-only modal parameter identification of civil engineering structures10.12989/sem.2004.17.3_4.429 ↗
49. Operational modal analysis of an end-supported pontoon bridge10.1016/j.engstruct.2017.06.069 ↗
50. Finite element modeling and updating of a lively footbridge: The complete process10.1016/j.jsv.2006.09.024 ↗
51. Finite element model updating based on eigenvalue and strain energy residual using multiobjective optimization technique10.1016/j.ymssp.2006.09.008 ↗
52. Dynamic test and finite element model updating of bridge structures based on ambient vibration10.1007/s11709-008-0028-4 ↗
53. Finite element model updating of bridge structures based on sensitivity analysis and optimization algorithm10.1007/s11859-008-0117-1 ↗
54. Finite Element Model Updating of Komurhan Highway Bridge
55. Improved bridge evaluation through finite element model updating using static and dynamic measurements10.1016/j.engstruct.2009.02.011 ↗
56. The Finite Element Model Updating of Long Span Cable-Stayed Bridge Based on Static and Dynamic Loading Test10.4028/www.scientific.net/AMM.644-650.5014 ↗
57. Multiscale Modeling and Model Updating of a Cable-Stayed Bridge. II: Model Updating Using Modal Frequencies and Influence Lines10.1061/(ASCE)BE.1943-5592.0000723 ↗
58. A multiscale finite element model validation method of composite cable-stayed bridge based on Probability Box theory10.1016/j.jsv.2016.01.055 ↗
59. Identification of unusual events in multi-channel bridge monitoring data10.1016/S0888-3270(03)00040-2 ↗
60. Sohn, H., Farrar, C.R., Hemez, F., Stinemates, D.W., Nedler, B., and Czarnecki, J. (2004). A Review of Structural Health Monitoring Literature 1996–2001, Los Alamos National Laboratory.
61. Wenzel, H. (2008). Health Monitoring of Bridges, John Wiley & Sons.10.1002/9780470740170 ↗
62. Long-term monitoring and data analysis of the Tamar Bridge10.1016/j.ymssp.2012.08.026 ↗
63. Vibration–based structural damage identification10.1098/rsta.2000.0717 ↗
64. Damage detection by finite element model updating using modal flexibility residual10.1016/j.jsv.2005.04.006 ↗
65. Vibration diagnostics of footbridge with use of rotation sensor
66. Jiménez-Alonso, J.F., Pérez-Aracil, J., Hernández Díaz, A.M., and Sáez, A. (2019). Effect of Vinyl Flooring on the Modal Properties of a Steel Footbridge. Appl. Sci., 9.10.3390/app9071374 ↗
67. Crowd-structure interaction in lively footbridges under synchronous lateral excitation: A literature review10.1016/j.plrev.2009.07.001 ↗
68. Crowd-induced random vibration of footbridge and vibration control using multiple tuned mass dampers10.1016/j.jsv.2010.04.013 ↗
69. Vibration serviceability of stadia structures subjected to dynamic crowd loads: A literature review10.1016/j.jsv.2010.10.032 ↗
70. Gao, Y., Wang, J., and Liu, M. (2017). The Vertical Dynamic Properties of Flexible Footbridges under Bipedal Crowd Induced Excitation. Appl. Sci., 7.10.3390/app7070677 ↗
71. Chen, Z., Chen, S., Ye, X., and Zhou, Y. (2019). A Study on a Mechanism of Lateral Pedestrian-Footbridge Interaction. Appl. Sci., 9.10.3390/app9235257 ↗
72. Pańtak, M. (2020). Ground Reaction Forces Generated by Runners—Harmonic Analyses and Modeling. Appl. Sci., 10.10.3390/app10051575 ↗
73. Experimental identification and analytical modeling of human walking forces: Literature review10.1016/j.jsv.2009.04.020 ↗
74. Alves, F. (2015). Low-Cost Vibration Sensors: Tendencies and Applications in Condition Monitoring of Machines and Structures, Instituto Superior de Engenharia de Lisboa.
75. Van Emmerik, T., Steele-Dunne, S., Hut, R., Gentine, P., Guerin, M., Oliveira, R.S., Wagner, J., Selker, J., and Van de Giesen, N. (2017). Measuring Tree Properties and Responses Using Low-Cost Accelerometers. Sensors, 17.10.3390/s17051098 ↗
76. Jaroszewicz, L.R., Kurzych, A., Krajewski, Z., Marć, P., Kowalski, J.K., Bobra, P., Zembaty, Z., Sakowicz, B., and Jankowski, R. (2016). Review of the Usefulness of Various Rotational Seismometers with Laboratory Results of Fibre-Optic Ones Tested for Engineering Applications. Sensors, 16.10.3390/s16122161 ↗
77. Rossing, T., and Fletcher, N.H. (2004). Principles of Vibration and Sound, Springer. [2nd ed.].10.1007/978-1-4757-3822-3 ↗
78. De Silva, C.W. (2005). Vibration and Shock Handbook, Taylor & Francis Inc.10.1201/9781420039894 ↗
79. Clough, R.W., and Penzien, J. (1975). Dynamics of Structures, Pearson Education.
80. Bianchi, G., and Sorrentino, R. (2007). Electronic Filter Simulation & Design, McGraw-Hill Education.
81. Allemang, R.J., and Brown, D.L. (1982, January 8–10). A correlation coefficient for modal vector analysis. Proceedings of the First International Modal Analysis Conference, Orlando, FL, USA.
82. (2011). Factors affecting perception thresholds of vertical whole-body vibration in recumbent subjects: Gender and age of subjects, and vibration duration. J. Sound Vib., 330, 1810–1828.10.1016/j.jsv.2010.10.038 ↗
83. Drygala, I.J., Dulinska, J.M., and Polak, M.A. (2020). Seismic Assessment of Footbridges under Spatial Variation of Earthquake Ground Motion (SVEGM): Experimental Testing and Finite Element Analyses. Sensors, 20.10.3390/s20041227 ↗