Archive of Applied Mechanics

, Volume 86, Issue 7, pp 1369–1381 | Cite as

A novel crowd random loads model for pedestrians walking on footbridge

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Abstract

With modern footbridges becoming lighter and slenderer, the serviceability has gained more and more concern. For analyzing the vibration and evaluating the serviceability of footbridge, it is essential to give a proper model of loads induced by man, especially by crowd. At present, there are some models for crowd loads (e.g., Matsumoto’s model). In these models, a factor relating to the number of pedestrians is always introduced to multiply the amplitude calculated for single person. However, not only the amplitude but also the distribution, which is not considered in the present models, of the loads will effect on the dynamic response of structure. In addition, for crowd loads, it has strong stochastic nature including the distribution and the difference between pedestrians in the crowd. The walking parameters for single person of Chinese people are obtained by a walkway measure system, and the random characteristics of these parameters are analyzed. Then, a crowd random loads model is set up, in which the randomness of single pedestrian and the distribution of pedestrians on structure are involved. Finally, based on the model, the dynamic response of a footbridge under random pedestrians flow is analyzed by finite element method. According to the results, it is more near to real dynamic response situation of footbridge under crowd loads with the model and method introduced in this paper.

Keywords

Footbridge Pedestrian flow Crowd loads model  Stochastic nature Finite element method 
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Notes

Acknowledgments

This work was supported by International S&T Cooperation Program of China 2010DFB74280.

References

  1. 1.
    Matsumoto, Y., Nishioka, T., Shiojiri, H., Matsuzaki, K.: Dynamic design of footbridges. In: IABSE Proceeding (1978)Google Scholar
  2. 2.
    Dallard, P., Fitzpatrick, A.J., Flint, A., Le Bourva, S., Low, A., Ridsdill Smith, R.M., Willford, M.: The London millennium bridge. Struct. Eng. 79, 17–33 (2001)Google Scholar
  3. 3.
    Kerr, S., Bishop, N.: Human induced loading on flexible staircases. Eng. Struct. 23, 23–27 (2001)CrossRefGoogle Scholar
  4. 4.
    Butz, E.: Beitrag Zur Berechnuug fußgängerinduzierter Brückenschwingungen. Dissertation, Aachen University (2006)Google Scholar
  5. 5.
    Sahnaci, C., Kasperski, M., Random loads induced by walking. In: Eurodynamics Proceedings. Paris, vol. 441–446 (2005)Google Scholar
  6. 6.
    Oggero, E., et al.: Probability of valid gait data acquisition using currently available force plates. Biomed. Sci. Instrum. 34, 392–397 (1998)Google Scholar
  7. 7.
    Brownjohn, J.: A spectral density approach for modelling continuous vertical forces on pedestrian structures due to walking. Can. J. Civ. Eng. 31, 65–77 (2004)CrossRefGoogle Scholar
  8. 8.
    Racic, V., et al.: Human walking an running forces: novel experimental characterization and application in civil engineering dynamics. In: Proceedings IMAC XXVI Conference, Orlando/ Florida/ USA (2008)Google Scholar
  9. 9.
    Hegewald, G.: Ganganalystische Bestimmung und Bewertung der Druckverteilung unterm Fuß und von Gelenkwinkelveräufen. Dissertation, Universität zu Berlin (2000)Google Scholar
  10. 10.
    Funabiki, S., et al.: A novel treadmill with a function of simulating walkway-walking. Trans. Inst. Electr. Eng. Jpn. 124, 2116–2122 (2004). (in Japanese)Google Scholar
  11. 11.
    Charnley, J., Pusso, R.: The recording and the analysis of gait in relation to the surgery of the hip joint. Clin. Orthop. Relat. Res. 58, 153–164 (1968)CrossRefGoogle Scholar
  12. 12.
    Bachmann, H.: Vibration Problems in Structures. Birkhäuser, Basel (1995)CrossRefGoogle Scholar
  13. 13.
    Fujino, Y., Nakamura, S., Warnitchai, P.: Synchronization of human walking observed during lateral vibration of a congested pedestrian bridge. Earthq. Eng. Struct. Dyn. 22, 741–758 (1993)CrossRefGoogle Scholar
  14. 14.
    BSI. British Standard Specification for loads; Steel Concrete and Composite Bridges, Part2. London (1978)Google Scholar
  15. 15.
    Zivanovic, S., Pavic, A., Reymolds, P.: Vibration serviceability of footbridge under human induced excitation: a literature review. J. Sound Vib. 279, 1–74 (2005)CrossRefGoogle Scholar
  16. 16.
    Bachmann, H., Ammann, W.: Vibrations in structures induced by man and machines. International Association of Bridge and Structural Engineering, Zürich, Switzerland (1987)Google Scholar
  17. 17.
    Bachmann, H.: Vibration Problems in Structures: Practical Guidelines. Birkhäuser, Basel (1995)CrossRefGoogle Scholar
  18. 18.
    Kerr, S.C.: Human Induced Loading on Staircases. Dissertation, University College London, Mechanical Engineering Department, London, UK (1998)Google Scholar
  19. 19.
    Blanchard, J., Davies, B.L., Smith, J.W.: Design criteria and analysis for dynamic loading of footbridges. In: Proceedings of the DOE and DOTTRRL Symposium on Dynamic Behaviour of Bridges, Crowthorne, UK (1977)Google Scholar
  20. 20.
    Rainer, J.H., Pernica, G., Allen, D.E.: Dynamic loading and response of footbridges. Can. J. Civ. Eng. 15, 66–71 (1988)CrossRefGoogle Scholar
  21. 21.
    Young, P.: Improved floor vibration prediction methodologies. In: Proceedings of Arup Vibration Seminar on Engineering for Structural Vibration—Current Developments in Research and Practice. London, UK (2001)Google Scholar
  22. 22.
    Yao, S., Wright, J.R., Pavic, A., Reynolds, P.: Experimental study of human-induced dynamic forces due to jumping on a perceptibly moving structure. J. Sound Vib. 296, 150–165 (2006)CrossRefGoogle Scholar
  23. 23.
    Gao, S.-Q., Wang, D., Niu, S.-H.: Analysis of dynamic characteristics of person-structure coupled system. Trans. Beijing Inst. Technol. 33, 235–238 (2013)Google Scholar

Copyright information

© Springer-Verlag Berlin Heidelberg 2016

Authors and Affiliations

  1. 1.School of Mechatronical EngineeringBeijing Institute of TechnologyBeijingPeople’s Republic of China

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