多人Bounce荷载下结构动力响应折减系数研究

PDF(1622 KB)

振动与冲击 ›› 2019, Vol. 38 ›› Issue (11) : 48-53.

论文

陈隽1, 2，任静雅 1，王磊1

作者信息 +

Structural dynamic response reduction factor under crowd Bounce load

CHEN Jun1, 2, REN Jingya1, WANG Lei1

Author information +

文章历史 +

摘要

体育比赛、演唱会中观众原地身体上下往复式的欢庆动作会引起Bounce荷载，是典型的有节奏人致动力荷载。本研究将考虑和不考虑人群协同性所计算出的结构响应的比值，定义为Bounce荷载下的结构动力响应折减系数，利用小组人群同步Bounce荷载的实测数据，研究了折减系数随人数、结构频率和阻尼比的变化规律，并提出了对应的设计曲线及表达式。应用于实际结构响应计算时，首先由反应谱法计算单人Bounce荷载下结构的动力响应，将其乘以总体重并考虑振型值影响后，再乘以对应的折减系数，即可实现考虑协同性的人群Bounce荷载下结构动力响应的快速计算，算例分析表明了上述步骤及所建议的折减系数的合理性。

Abstract

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.

导出引用

陈隽1, 2，任静雅 1，王磊1. 多人Bounce荷载下结构动力响应折减系数研究[J]. 振动与冲击, 2019, 38(11): 48-53

CHEN Jun1, 2, REN Jingya1, WANG Lei1. Structural dynamic response reduction factor under crowd Bounce load[J]. Journal of Vibration and Shock, 2019, 38(11): 48-53

参考文献

[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.