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Development of Time Lag Considered (TLC) Crowd Load Model Based on Probabilistic Approach

개인별 시간지연효과를 고려한 확률론적 군중 하중모형 개발

  • Received : 2011.08.22
  • Accepted : 2012.02.03
  • Published : 2012.02.27

Abstract

To overcome the limitations of current evaluation procedures for floor vibration under crowd loading, two kinds of uncertainties associated with individual time lag differences and the complex behavior of crowd should be taken into account. The complex behavior of crowds has yet to be fully described, even though individual differences can be dealt with statistically. This paper proposes time lag considered (TLC) crowd model based on a probabilistic approach. The load reduction factor, which reflects the effect of a general degree of synchronization among crowd, is proposed. Extensive Monte Carlo simulations were carried out to determine various crowd behaviors by using the TLC crowd model proposed. The TLC crowd model can rationally treat the energy loss of various crowd patterns. This indicates that it may be used as a theoretical basis in refining dynamic load factor of crowd loading.

군중하중을 받는 현행 바닥진동 설계절차의 한계를 극복하기 위해서는 개인별 운동의 시간차와 운동성분에 내재된 위상의 불확실성이 고려되어야 한다. 개인의 운동에 관한 연구는 통계적 자료를 토대로 많은 연구가 진행되고 있는 반면, 군중 행동패턴에 관한 연구는 그 복잡성으로 인해 연구가 미흡한 실정이다. 본 연구에서는 다양하고 복잡한 군중의 행동패턴을 개인 간의 위상을 반영한 하중모형을 제안한다. 모의실험을 통해 개인의 시간지연 값들을 난수로 발생시킨 후, 기준시간에 대한 시간 지연효과를 합산하였다. 본 연구에서 제안하는 위상의 합산으로 이루어진 계수는, 완전히 동기화된 군중의 경우에 대한 동기화 정도의 비를 나타낼 수 있다. 정의된 계수를 바탕으로 실제 일어날 수 있는 군중의 행동패턴을 분석하여 각각의 경우에 대한 계수 값을 제안하였다. 본 연구의 결과를 토대로 기존의 설계방식이 다룰 수 없었던 군중의 운동시 바닥구조의 응답을 합리적으로 반영할 수 있다.

Keywords

References

  1. Bachmann H. and Ammann W. (1987) Vibrations in Structures: Induced by Man and Machines, International Association for Bridge and Structural Engineering Proceedings, pp. 1-176
  2. Blanchard J., Davies B.L., and Smith J.W. (1987) Design Criteria and Analysis for Dynamic Loading of Footbridges, Crowghorne, UK.
  3. Ermentrout, G.B. and Rinzel, J. (1984) Beyond a Pacemaker's Entrainment Limit: Phase Walk-through, American Journal of Physiology-Regulatory, Integrative and Comparative Physiology, Vol. 246, pp. 102-106. https://doi.org/10.1152/ajpregu.1984.246.1.R102
  4. Juan, A.A., Bonilla, L.L., Conrad, J.P.V., Felix. R., and Renato, S. (2005) The Kuramoto Model: a Simple Paradigm for Synchronization Phenomena, Rev. Mod. Phys., The American Physical Society, Vol. 77, pp. 137-185. https://doi.org/10.1103/RevModPhys.77.137
  5. Matsumoto, Y., Nishioka, T., Shiojiri, H., and Matsuzaki, K. (1978) Dynamic Design of Footbridges, International Association for Bridge and Structural Engineering Proceedings, No. P-17/18: pp. 1-15.
  6. McConnell, G.K. (1995) Vibration Testing Theory and Practice, John Wiley & Sons, Inc., USA.
  7. Nathabandu, T.K. and Renzo, R. (1997) Statistics, Probability and Reliability for Civil and Environmental Engineers, The McGraw-Hill Companies, Inc., USA.
  8. Rainer, J.H., Pernica, G., and Allen, D.E. (1988) Dynamic Loading and Response of Footbridges, Canadian Journal of Civil Engineering, Vol. 15, pp. 335-347.
  9. Shin K. and Hammond, J.K. (2008) Fundamentals of Signal Processing for Sound and Vibration Engineers, John Wiley & Sons Ltd., UK.
  10. Smith, A.L., Hicks S.J., and Devine, P.J. (2009) Design of Floors for Vibration:A New Approach, Revised Edition, The Steel Construction Institute, UK.
  11. Strogatz, S.H., Abrams, D.M., McRobie, A., Eckhardt, B., and Ott, E. (2005) Theoretical Mechanics: Crowd Synchrony on the Millenium Bridge, Nature, Vol. 438, pp. 43-44. https://doi.org/10.1038/438043a
  12. Young, P. (2001) Improved Floor Vibration Prediction Methodologies, Proceedings of Arup Vibration Seminar on Engineering for Structural Vibration - Current Developments in Research and Practice, Institution of Mechanical Engineers, London, UK.
  13. Zivanovic, S., Pavic, A., and Reynolds, P. (2005) Vibration serviceability of footbridges under human-induced excitation: a literature review, Journal of Sound and Vibration, Vol. 279, No. 1-2, pp. 1-74. https://doi.org/10.1016/j.jsv.2004.01.019