Structural Engineering and Mechanics

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Walking load model for single footfall trace in three dimensions based on gait experiment

  • Peng, Yixin (State Key Laboratory for Disaster Reduction in Civil Engineering, Tongji University) ;
  • Chen, Jun (State Key Laboratory for Disaster Reduction in Civil Engineering, Tongji University) ;
  • Ding, Guo (State Key Laboratory for Disaster Reduction in Civil Engineering, Tongji University)
  • Received : 2014.07.06
  • Accepted : 2015.04.08
  • Published : 2015.06.10
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Abstract

This paper investigates the load model for single footfall trace of human walking. A large amount of single person walking load tests were conducted using the three-dimensional gait analysis system. Based on the experimental data, Fourier series functions were adopted to model single footfall trace in three directions, i.e. along walking direction, direction perpendicular to the walking path and vertical direction. Function parameters such as trace duration time, number of Fourier series orders, dynamic load factors (DLFs) and phase angles were determined from the experimental records. Stochastic models were then suggested by treating walking rates, duration time and DLFs as independent random variables, whose probability density functions were obtained from experimental data. Simulation procedures using the stochastic models are presented with examples. The simulated single footfall traces are similar to the experimental records.

Keywords

Acknowledgement

Supported by : National Natural Science Foundation

References

  1. Boggess, A. and Narcowich, F.J. (2009), A First Course in Wavelets with Fourier Analysis, John Wiley & Sons, New York, NY, USA.
  2. Chen, J., Jiang, S.Y., Wang, L., Peng, Y.X. and Cheng, Y.W. (2011), "Experiments on Human-induced excitation using 3D motion capture and analysis", Proceeding of the Third Asia-Pacific Young Researchers and Graduates Symposium , Taipei, Taiwan, March.
  3. Chen J., Yan S.X. and Ye, T. (2013), "Acceleration response spectrum of long-span floor under humanwalking loads", Proceedings of the 11th International Conference on Recent Advances in Structural Dynamics (RASD2013), Pisa, July.
  4. Dallard, P., Fitzpatrick, T., Flint, A., Low, A., Smith, R., Willford, M. and Roche, M. (2001), "London Millennium Bridge: pedestrian-induced lateral vibration", J. Bridge Eng., ASCE, 6(6), 412-417. https://doi.org/10.1061/(ASCE)1084-0702(2001)6:6(412)
  5. Ebrahimpour, A. and Sack, R.L. (2005), "A review of vibration serviceability criteria for floor structures", Comput. Struct., 83(28), 2488-2494. https://doi.org/10.1016/j.compstruc.2005.03.023
  6. Ellingwood, B. and Tallin, A. (1984), "Structural serviceability: floor vibrations", J. Struct. Eng., 110(2), 401-418. https://doi.org/10.1061/(ASCE)0733-9445(1984)110:2(401)
  7. Fujino, Y., Pacheco, B.M., Nakamura, S.I. and Warnitchai, P. (1993), "Synchronization of human walking observed during lateral vibration of congested pedestrian bridge", Earthq. Eng. Struct. Dyn., 22, 741-758. https://doi.org/10.1002/eqe.4290220902
  8. Kerr, S.C. and Bishop, N. (2001), "Human induced loading on flexible staircases", Eng. Struct., 23(1), 37-45. https://doi.org/10.1016/S0141-0296(00)00020-1
  9. Li, Q., Fan, J.S., Nie, J.G., Li, Q.W. and Chen, Y. (2013), "Crowd-induced random vibration of footbridge and vibration control using multiple tuned mass dampers", J. Sound Vib., 329, 4068-4092.
  10. Matsumoto, Y., Sato, S., Nishioka, T. and Shiojiri, H. (1972), "A study on design of pedestrian overbridges", Tran. JSCE, 4, 50-51.
  11. Ohlsson, S. (1982), "Floor vibration and human discomfort", Ph.D. Dissertation, Chalmers University of Technology, Gothenburg.
  12. Pachi, A. and Ji, T. (2005), "Frequency and velocity of people walking", Struct. Eng., 83, 36-40.
  13. Pavic, A. and Reynolds, P. (2002), "Vibration serviceability of long-span concrete building floors. Part 1: Review of background information", Shock Vib. Dig., 34(3), 191-211.
  14. Racic, V., Pavic, A. and Brownjohn, J.M.W. (2009), "Experimental identification and analytical modeling of human walking forces: literature review", J. Sound Vib., 326, 1-49. https://doi.org/10.1016/j.jsv.2009.04.020
  15. Racic, V. and Brownjohn, J.M.W. (2011), "Stochastic model of near-periodic vertical loads due to humans walking", Adv. Eng. Inform., 25, 259-275. https://doi.org/10.1016/j.aei.2010.07.004
  16. Racic, V., Pavic, A. and Brownjohn, J.M.W. (2013), "Modern facilities for experimental measurement of dynamic loads induced by humans: a literature review", Shock Vib., 20(1), 53-67. https://doi.org/10.1155/2013/975956
  17. Rainer, J.H., Pernica, G. and Allen, D.E. (1988), "Dynamic loading and response of footbridges", Can. J. Civil Eng., 15(1), 66-71. https://doi.org/10.1139/l88-007
  18. Sahnaci, C. and Kasperski, M. (2005), "Random loads induced by walking", Proceedings of the 6th European conference on structural dynamics, Paris, September.
  19. Zivanovic, S., Pavic, A. and Reynolds, P. (2005), "Vibration serviceability of footbridge under humaninduced excitation: a literature review", J. Sound Vib., 279(1-2), 1-74. https://doi.org/10.1016/j.jsv.2004.01.019
  20. Zivanovic, S., Pavic, A. and Reynolds, P. (2007), "Probability-based prediction of multi-mode vibration response to walking excitation", Eng. Struct., 29(6), 942-954. https://doi.org/10.1016/j.engstruct.2006.07.004

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