Technical Papers
Jul 20, 2018

Vibration Testing, Analysis, and Human-Structure Interaction Studies of a Slender Footbridge

Publication: Journal of Performance of Constructed Facilities
Volume 32, Issue 5

Abstract

The high strength of construction materials has allowed the design of elegant and architecturally appealing footbridges that are safe against static loads but may be susceptible to large vibrations when crossed by pedestrians. The low natural frequencies and damping of these systems can result in excessive or annoying movements. This paper presents two studies on the vibration serviceability of a footbridge. In the first part, details of the vibration testing and analysis of a slender two-span steel footbridge will be discussed. Vibration tests on the structure were conducted to verify the computer modeling and results of the dynamic analyses. The accuracy of the computer model was evaluated by comparing various dynamic properties and criteria. Lessons learned from the comparison of the results of the tests and analysis are presented. The second part of this paper presents a study of human-structure interaction (HSI) on the dynamic behavior of the footbridge. Results of vibration tests with a number of human subjects are compared with those from the computer modeling. They demonstrate the validity of the human models used, and the effect of humans on the dynamic properties and response of the structure.

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Acknowledgments

The research presented here was supported by the National Science Foundation under Grant Number CMMI-1335004. This support is gratefully acknowledged. Any opinions, findings, and conclusions expressed in this paper are those of the writer and do not necessarily reflect the views of the National Science Foundation. The authors would like to acknowledge the assistance of Keith and Marie Zawistowski.

References

AASHTO. 1997. Guide specification for design of pedestrian bridges, 1st edition. Washington, DC: AASHTO.
Bachmann, H., et al. 1995. Vibration problems in structures: Practical guidelines. Basel, Switzerland: Birkhäuser Verlag.
Bachmann, H., and W. J. Ammann. 1987. Vibration in structures induced by man and machines. Zurich, Switzerland: International Association for Bridge and Structural Engineering.
Brownjohn, J. M. W. 1997. “Vibration characteristics of a suspension footbridge.” J. Sound Vib. 202 (1): 29–46. https://doi.org/10.1006/jsvi.1996.0789.
Brownjohn, J. M. W. 1999. “Energy dissipation in one-way slabs with human participation.” In Proc., Asia–Pacific Vibration Conf., 155–160. Singapore: Nanyang Technological Univ.
CEN (European Committee for Standardization). 2003. Design of structures for earthquake resistance. Part 2: Bridges. EN 1998-2, Eurocode 8. Brussels, Belgium: CEN.
CSA (Canadian Standards Association). 2006. Canadian highway bridge design code. CAN/CSA-S6-06. Rexdale, ON, Canada: CSA.
Dallard, P., A. J. Fitzpatrick, A. Flint, S. Le Bourva, A. Low, R. M. Ridsdill Smith, and M. Willford. 2001. “The London Millennium footbridge.” Struct. Eng. 79 (22): 17–35.
Ewins, D. 2000. Modal testing: Theory, practice, and application. 2nd ed. Hertfordshire, UK: Research Studies.
Falati, S. 1999. “The contribution of non-structural components to the overall dynamic behaviour of concrete floor slabs.” Ph.D. dissertation, Dept. of Engineering Science, Univ. of Oxford.
Folz, B., and R. O. Foschi. 1991. “Coupled vibrational response of floor systems with occupants.” J. Eng. Mech. 117 (4): 872–892. https://doi.org/10.1061/(ASCE)0733-9399(1991)117:4(872).
Foschi, R. O., and A. Gupta. 1987. “Reliability of floors under impact vibration.” Can. J. Civ. Eng. 14 (5): 683–689. https://doi.org/10.1139/l87-098.
Foschi, R. O., G. A. Neumann, F. Yao, and B. Folz. 1995. “Floor vibration due to occupants and reliability-based design guidelines.” Can. J. Civ. Eng. 22 (3): 471–479. https://doi.org/10.1139/l95-055.
Friswell, M. I., and J. E. Mottershead. 1995. Finite element model updating in structural dynamics. London: Kluwer Academic.
Heinemeyer, C., et al. 2009. Design of lightweight footbridges for human induced vibrations. Aachen, Germany: Joint Research Centre, European Convention for Constructional Steelworks.
ISO. 1987. Mechanical vibration and shock—Mechanical transmissibility of the human body in the Z-direction. ISO 7962. Geneva: ISO.
ISO. 2007. Bases for design of structures—Serviceability of buildings and walkways against vibrations. ISO 10137. Geneva: ISO.
IStructE (Institution of Structural Engineers). 2008. Dynamic performance requirements for permanent grandstands subject to crowd action. London: IStructE.
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, H. Shiojiri, and K. Matsuzaki. 1978. “Dynamic design of footbridges.” In Proc., International Association for Bridge and Structural Engineering, 1–15. Zurich, Switzerland: International Association for Bridge and Structural Engineering.
NDS (National Design Specification). 1997. National design specification for wood construction: Supplement. Washington, DC: American Wood Council.
Nigam, S. P., and M. Malik. 1987. “A study on a vibratory model of a human body.” J. Biomech. Eng. 109 (2): 148–153. https://doi.org/10.1115/1.3138657.
Pavic, A., Z. Miskovic, and P. Reynolds. 2007. “Modal testing and finite-element model updating of a lively open-plan composite building floor.” J. Struct. Eng. 133 (4): 550–558. https://doi.org/10.1061/(ASCE)0733-9445(2007)133:4(550).
Pedersen, L., and L. Hansen. 2004. “Human damping and its capacity to control floor vibrations.” In Vol. 5386 of Proc., SPIE: Smart Structures and Materials 2004: Damping and Isolation. Bellingham, WA: SPIE.
Salyards, K., and Y. Hua. 2015. “Assessment of dynamic properties of a crowd model for human-structure interaction modeling.” Eng. Struct. 89: 103–110. https://doi.org/10.1016/j.engstruct.2015.01.016.
Setareh, M. 2010. “Vibration serviceability of a building floor structure. I: Dynamic testing and computer modeling.” J. Perform. Constr. Facil. 24 (6): 497–507. https://doi.org/10.1061/(ASCE)CF.1943-5509.0000134.
Setareh, M. 2016. “Vibration serviceability issues of slender footbridges.” J. Bridge Eng. 21 (11): 04016084. https://doi.org/10.1061/(ASCE)BE.1943-5592.0000951.
Setareh, M., and S. Gan. 2016. “Study of human-structure dynamic interactions.” In Vol. 4 of Proc., 34th IMAC, a Conf. and Exposition on Structural Dynamics: Dynamics of Coupled Structures, edited by M. Allen, M. Mayes, R. L. Mayes, and D. Rixen, 391–399. Orlando, FL: Society for Experimental Mechanics.
Setareh, M., M. Woolard, and A. Schlichting. 2014. “A study of vibrations of a slender footbridge due to human movements.” In Proc., 5th Int. Conf. Footbridges: Past, Present and Future. London: Hemming Information Services.
Tilly, G. P., D. W. Cullington, and R. Eyre. 1984. Dynamic behavior of footbridges., 1324. Zurich, Switzerland: International Association for Bridge and Structural Engineering.
Zheng, Q. 2013. “Models of a standing human body in structural vibration.” Ph.D. thesis, School of Mechanical, Aerospace and Civil Engineering, Univ. of Manchester.
Zheng, X., and J. M. W. Brownjohn. 2001. “Modeling and simulation of human-floor system under vertical vibration.” In Vol. 4327 of Proc., SPIE: Smart Structures and Materials 2001: Smart Structures and Integrated Systems, 513–520. Bellingham, WA: SPIE.

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Go to Journal of Performance of Constructed Facilities
Journal of Performance of Constructed Facilities
Volume 32Issue 5October 2018

History

Received: Nov 24, 2017
Accepted: Apr 20, 2018
Published online: Jul 20, 2018
Published in print: Oct 1, 2018
Discussion open until: Dec 20, 2018

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Authors

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Mehdi Setareh, Ph.D., M.ASCE [email protected]
P.E.
Professor and Director of Vibration Testing Laboratory, School of Architecture and Design, Virginia Tech, Blacksburg, VA 24061 (corresponding author). Email: [email protected]
Shiqi Gan
Formerly, Graduate Research Assistant, School of Architecture and Design, Virginia Tech, Blacksburg, VA 24061.

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