Bounce means up-down movements of human body with two feet remaining on ground, and it is a typical rhythmic human induced dynamic load during audiences celebrating in a concert or sport game. Here, the response reduction factor (RRF) was defined as a ratio between structural responses considering and not considering crowd bouncing synergy. Actual measured records of crowd bouncing loads were used to study the variation laws of RRF versus person number, structural frequency and structural damping ratio. A corresponding design curve and expression were proposed. For practical application, the structural dynamic response under a single person Bounce load was firstly calculated with the response spectrum method. This response was multiplied with the total crowd weight, and multiplied again with the corresponding RRF after considering modal shapes’ effects to realize the fast calculation of structure dynamic responses under crowd Bounce loads considering crowd bouncing synergy. The rationality of the proposed RRF and the above mentioned calculation procedure was verified with numerical examples.
Key words
Bounce load /
response reduction factor /
vibration serviceability /
large-span structures
{{custom_keyword}} /
{{custom_sec.title}}
{{custom_sec.title}}
{{custom_sec.content}}
References
[1] Lee S, Lee K, Woo S, et al. Global vertical mode vibrations due to human group rhythmic movement in a 39 story building structure [J]. Engineering Structures. 2013, 57: 296-305.
[2] 陈隽.人致荷载研究综述[J].振动与冲击,2017,36(23):1-9.
Chen J. A review of human- induced loads Study [J]. Journal of Vibration and Shock. 2017, 36(23): 1-9.
[3] 陈隽. 人致荷载与人致结构振动[M]. 北京：科学出版社，2016.
Chen J. Human-induced load and structural vibration [M]. Beijing: Science Press, 2016.
[4] Jones C A, Reynolds P, Pavic A. Vibration serviceability of stadia structures subjected to dynamic crowd loads: a literature review [J]. Journal of Sound and Vibration. 2011, 330(8): 1531-1566.
[5] Dallard, P., et al., London Millennium Bridge: pedestrian-induced lateral vibration [J]. Journal of Bridge Engineering, 2001. 6(6): p. 412-417.
[6] Duarte E, Ji T. Action of individual bouncing on structures [J]. Journal of Structural Engineering. 2009, 135(7): 818-827.
[7] 王磊,陈隽,楼佳悦,李果. 单人Bounce荷载的实验建模研究[J]. 振动与冲击. 2016, 35(17):52-57.
Wang L, Chen J, Lou J Y and Li G. Experimental investigation on individual bouncing load [J]. Journal of Vibration and Shock. 2016, 35(17):52-57.
[8] Yao S, Wright J R, Pavic A, et al. Experimental study of human-induced dynamic forces due to bouncing on a perceptibly moving structure [J]. Canadian Journal of Civil Engineering. 2004, 31(6): 1109-1118.
[9] Parkhouse J G, Ewins D J. Crowd-induced rhythmic loading [J]. Proceedings of the ICE-Structures and Buildings. 2006, 159(5): 247-259.
[10] Tan H, Chen J. Experimental Investigation on Synchronization of Bouncing Crowd [J]. Procedia Engineering, 2017, 199:2784-2789.
[11] Celik O, Dong C Z, Catbas F N. A computer vision approach for the load time history estimation of lively individuals and crowds [J]. Computers & Structures, 2018, 200:32-52.
[12] Comer A J, Blakeborough A, Williams M S. Grandstand simulator for dynamic human-structure interaction experiments [J]. Experimental Mechanics. 2010, 50(6): 825-834.
[13] Jun Chen, Lei Wang, Vitomir Racic and Jiayue Lou. Acceleration response spectrum for prediction of structural vibration due to individual bouncing [J]. Mechanical Systems and Signal Processing. 2016, 76-77: 394-408.
[14] Racic V, Chen J. Data-driven generator of stochastic dynamic loading due to people bouncing [J]. Computers and Structures. 2015, 158:240-250.
[15] Sim J, Blakeborough A, Williams M S. Modelling and dynamic analysis of a joint crowd-structure system [Z]. Report, 2004.
{{custom_fnGroup.title_en}}
Footnotes
{{custom_fn.content}}
PDF(1622 KB)
