Coupling Vibration Response of Lightweight Aluminum Alloy Footbridges due to Synchronous Excitation of Low-Density Crowd
Publication: Journal of Performance of Constructed Facilities
Volume 38, Issue 5
Abstract
The vibration serviceability problems induced by the coupling vibration of lightweight footbridges is a research focus. Much research has been conducted in recent years, yet the attenuation of the coupling vibration subjected to a low-density crowd is still challenging. To investigate the coupling vibration between a moving crowd and aluminum alloy footbridge due to synchronous excitation, orthogonal crowd load tests were carried out on a simply supported aluminum alloy footbridge with a span of 34.8 m. Load tests with different numbers of pedestrians and step frequencies were conducted to obtain vibration frequency and peak acceleration of the footbridge. The comparative analysis reveals that vibration serviceability under certain conditions of synchronous excitation was not in accordance with German footbridges guidelines or British standards. Synchronous excitation of low-density crowds may lead to a marked decline in pedestrian comfort. A two degrees of freedom (TDOF) human dynamic model with a supporting mass of human body was applied to establish a crowd-footbridge coupling system. The numerical results are in agreement with experimental data, which validates the finite element model of the footbridge. Further numerical analysis was conducted to investigate the coupling vibration response of the footbridge subjected to low-density crowd below . The results show that the coupling effect is minor when the mass ratio is 0.12–0.3. When the mass ratio is 0.3–0.46, the coupling vibration is significant. Therefore, the coupling vibration of lightweight aluminum alloy footbridge deserves attention in design when subjected to low-density crowds. The evaluation of vibration serviceability is advised to be conducted according to the requirements of peak acceleration given in footbridge specifications.
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Data Availability Statement
All data, models, or codes that support the findings of this study are available from the corresponding author upon reasonable request.
References
Abeysinghe, C. M., D. P. Thambiratnam, and J. N. Perera. 2013. “Dynamic performance characteristics of an innovative hybrid composite floor plate system under human induced loads.” Compos. Struct. 96 (Apr): 590–600. https://doi.org/10.1016/j.compstruct.2012.09.015.
AFCC Working Group. 2006. Assessment of vibration behavior of footbridge under pedestrian loading. Paris: The Ministry of Transport and Infrastructure.
Allen, D., and T. Murray. 1993. “Design criterion for vibrations due to walking.” Eng. J. 30 (4): 117–129. https://doi.org/10.62913/engj.v30i4.1281.
Bachmann, H. 2002. “Lively footbridges–A real challenge.” In Proc., AFGC and OTUA Footbridge Conf. Paris: French Association of Civil Engineering.
Bachmann, H., and W. Ammann. 1987. “Vibrations in structures-induced by man and machines. structural engineering documents.” In Proc., Int. Association of Bridge and Structural Engineering (IABSE). Zurich, Switzerland: International Association for Bridge and Structural Engineering.
Blanco, C. M., P. H. Bouillard, E. Bodarwé, and L. Ney. 2005. “Structural dynamic design of a footbridge under pedestrian loading.” In Proc., 9th SAMTECH User Conf., 1–19. Liege, Belgium: Engineering Standard Multiphysics Solutions.
Brownjohn, J. M. W., and T. N. Fu. 2005. “Vibration excitation and control of a pedestrian walkway by individuals and crowds.” Shock Vib. 12 (5): 333–347. https://doi.org/10.1155/2005/857247.
BSI (British Standards Institute). 2003. UK national annex to Eurocode 1. Actions on structures. Trafficloads on bridges. BS EN 1991-2. London: BSI.
Busca, G., A. Cappellini, S. Manzoni, M. Tarabini, and M. Vanali. 2014. “Quantification of changes in modal parameters due to the presence of passive people on a slender structure.” J. Sound Vib. 333 (21): 5641–5652. https://doi.org/10.1016/j.jsv.2014.06.003.
Cao, L., H. Qi, and J. Li. 2018. “Experimental and numerical studies on the vibration serviceability of fanshaped prestressed concrete floor.” Int. J. Distributed Sens. Network 14 (8): 1–11. https://doi.org/10.1177/1550147718795746.
Chen, J., Y. X. Peng, and L. Wang. 2014. “Experimental investigation and mathematical modeling of single footfall load using motion capture technology.” [In Chinese.] China Civ. Eng. J. 47 (3): 79–87.
Chiara, B. 2020. “Experimental investigation on vibration sensitivity of an indoor glass footbridge to walking conditions.” J. Build. Eng. 29 (Apr): 101195. https://doi.org/10.1016/j.jobe.2020.101195.
Dallard, P., A. J. Fitzpatrick, A. Flint, S. le Bourva, A. Low, R. Ridsdill Smith, and M. Willford. 2001. “The London millennium footbridge.” Struct. Eng. 79 (22): 17–33.
Da Silva, J. G. S., P. C. G. S. Vellasco, and S. A. L. De Andrade. 2008. “Vibration analysis of orthotropic composite floors for human rhythmic activities.” J. Braz. Soc. Mech. Sci. Eng. 30 (1): 56–65.
Dey, P., S. Narasimhan, and S. Walbridge. 2017. “Evaluation of design guidelines for the serviceability assessment of aluminum pedestrian bridges.” J. Bridge Eng. 22 (1): 04016109. https://doi.org/10.1061/(ASCE)BE.1943-5592.0000983.
Ellis, B. R., and T. Ji. 1997. “Human-structure interaction in vertical vibrations.” Proc. Inst. Civ. Eng. Struct. 122 (1): 1–9. https://doi.org/10.1680/istbu.1997.29162.
Fan, J. S., Q. Li, and J. G. Nie. 2010. “Crowds induced vibration control of beam footbridge equipped with multiple tuned mass dampers.” [In Chinese.] China Civ. Eng. J. 43 (8): 73–80.
Feldmann, M., C. H. Heinemeyer, and M. Lukic. 2010. Human induced vibrations of steel structures (Hivoss)—Design of footbridges guideline EN03. Münster, Germany: RFCS Publications.
Gard, S. A., and D. S. Childress. 2001. “What determines the vertical displacement of the body during normal walking?” J. Prosthet. Orthot. 13 (3): 64–67. https://doi.org/10.1097/00008526-200109000-00009.
Ji, T. 2000. “On the combination of structural dynamics and biodynamics methods in the study of human-structure interaction.” In Proc., 35th UK Group Meeting on Human Response to Vibration. Southampton, UK: Univ. of Southampton.
Kim, S., and S. Park. 2011. “Leg stiffness increases with speed to modulate gait frequency and propulsion energy.” J. Biomech. 44 (7): 1253–1258. https://doi.org/10.1016/j.jbiomech.2011.02.072.
Kim, S. H., K. I. Cho, M. S. Choi, and J. Y. Lim. 2008. “Development of human body model for the dynamic analysis of footbridges under pedestrian induced excitation.” [In Korean.] Int. J. Steel Struct. 8 (4): 333–345.
Maca, J., and M. Valasek. 2011. “Interaction of human gait and footbridges.” In Proc., 8th Int. Conf. on Structural Dynamics (EURODYN 11). Leuven, Belgium: Structural Mechanics Division of K. U. Leuven.
Matsumoto, Y., and M. J. Griffin. 2003. “Mathematical models for the apparent masses of standing subjects exposed to vertical whole-body vibration.” J. Sound Vib. 260 (3): 431–451. https://doi.org/10.1016/S0022-460X(02)00941-0.
Matsumoto, Y., T. Nishioka, and H. Shiojiri. 1978. “Dynamic design of footbridges.” In Proc., IABSE. Zurich, Switzerland: International Association for Bridge and Structural Engineering.
Miyamori, Y., T. Obata, T. Hayashikawa, and K. Sato. 2001. “Study on identification of human walking model based on dynamic response characteristics of pedestrian bridges.” In Proc., 8th East Asia-Pacific Conf. on Structural Engineering& Construction (EASEC-8). Fargo, ND: International Structural Engineering & Construction Society.
Pavic, A., C. H. Yu, J. Brownjohn, and P. Reynoids. 2002. “Verification of the existence of human-induced horizontal forces due to vertical jumping.” In Proc., IMAC XX, 1–7. Bethel, CT: Society for Experimental Mechanics.
Petersen, C. 1996. Dynamik der Baukonstruktionen. Berlin: Springer.
Petersen, C., and H. Werkle. 2017. Dynamik der Baukonstruktionen. Wiesbaden, Germany: Springer.
Qian, J., and L. M. Sun. 2011. “Comfort evaluation and vibration reduction design of long span footbridges.” [In Chinese.] J. Shanghai Jiaotong Univ. 45 (5): 677–681.
Qin, J. W., S. S. Law, Q. S. Yang, and N. Yang. 2013. “Pedestrian-bridge dynamic interaction, including human participation.” J. Sound Vib. 332 (4): 1107–1124. https://doi.org/10.1016/j.jsv.2012.09.021.
Setareh, M., and S. Gan. 2018. “Vibration testing, analysis, and human-structure interaction studies of a slender footbridge.” J. Perform. Constr. Facil. 32 (5): 04018068. https://doi.org/10.1061/(ASCE)CF.1943-5509.0001213.
Shahabpoor, E., A. Pavic, and V. Racic. 2016. “Interaction between walking humans and structures in vertical direction: A literature review.” Shock Vib. 2016 (Apr): 1–22. https://doi.org/10.1155/2016/3430285.
Toso, M. A., H. M. Gomes, F. T. Silva, and R. L. Pimentel. 2016. “Experimentally fitted biodynamic models for pedestrian-structure interaction in walking situations.” Mech. Syst. Signal Process. 72–73 (Feb): 590–606. https://doi.org/10.1016/j.ymssp.2015.10.029.
Wei, L., and M. J. Griffin. 1998. “Mathematical models for the apparent mass of the seated human body exposed to vertical vibration.” J. Sound Vib. 212 (5): 855–874. https://doi.org/10.1006/jsvi.1997.1473.
Willford, M. 2002. “Dynamic actions and reactions of pedestrians.” In Proc., Int. Conf. on the Design and Dynamic Behaviour of Footbridges. Lund, Sweden: Lund Univ.
Yao, S., J. Wrignt, A. Pavic, and P. Reynolds. 2002. “Forces generated when bobbing or jumping on a flexible structure.” In Proc., Int. Conf. on Noise and Vibration, 563–572. Belgium, Leuven: Katholieke Universiteit Leuven.
Zhou, D., H. Han, T. Ji, and X. Xu. 2016. “Comparison of two models for human-structure interaction.” Appl. Math. Modell. 40 (5–6): 3738–3748. https://doi.org/10.1016/j.apm.2015.10.049.
Zoltowski, K. 2005. Dynamic analysis of pedestrian bridges with FEM and CFD. Miinchen, Germany: Sofistik-Tagung.
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© 2024 American Society of Civil Engineers.
History
Received: Sep 2, 2023
Accepted: May 30, 2024
Published online: Aug 12, 2024
Published in print: Oct 1, 2024
Discussion open until: Jan 12, 2025
ASCE Technical Topics:
- Alloys
- Aluminum (material)
- Architectural engineering
- Bridge engineering
- Bridges
- Bridges (by type)
- Building management
- Continuum mechanics
- Coupling
- Dynamics (solid mechanics)
- Engineering materials (by type)
- Engineering mechanics
- Excitation (physics)
- Foot bridges
- Materials engineering
- Metals (material)
- Motion (dynamics)
- Oscillations
- Serviceability
- Solid mechanics
- Structural engineering
- Structural members
- Structural systems
- Vibration
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