随机人群运动荷载作用下大跨度连廊的振动响应
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摘要
基于社会力模型,研究了随机人群运动荷载作用下大跨连廊结构的振动舒适度问题。通过结合交通学领域、生物力学领域对人群运动特性及人体运动参数的统计分析,对随机人群运动进行仿真,得到不同密度工况下,任意行人在任意时刻的步速、落点位置等参数,建立随机人群荷载模型,计算不同工况密度下结构的加速度峰值。研究表明,加速度峰值与行人步速关系很大,随着行人密度增大,行人速度减小,结构加速度响应则先增大后减小。根据得到的结构加速度峰值与行人密度关系曲线,可以找出出现结构振动舒适度问题的行人密度区间。
Based on social force model which is combined statistics and analysis of crowd motion characters and body motion parameters in the field of transportation and biodynamic,vibration comfort of long-span corridor under stochastic crowd load is studied and stochastic crowd motion is simulated.The critical parameters such as pace and landing position are obtained in different densities,the stochastic crowd model is built and the peak acceleration is calculated.The study shows,peak acceleration is closely related to the pacing frequency,and pedestrian velocity becomes large along with increase of pedestrian density while the acceleration response of structure increased initially and then decreased.By the relationship curve of structure peak acceleration and pedestrian density the pedestrian density interval in which the structure suffering vibration serviceability problems can be found.
Based on social force model which is combined statistics and analysis of crowd motion characters and body motion parameters in the field of transportation and biodynamic,vibration comfort of long-span corridor under stochastic crowd load is studied and stochastic crowd motion is simulated.The critical parameters such as pace and landing position are obtained in different densities,the stochastic crowd model is built and the peak acceleration is calculated.The study shows,peak acceleration is closely related to the pacing frequency,and pedestrian velocity becomes large along with increase of pedestrian density while the acceleration response of structure increased initially and then decreased.By the relationship curve of structure peak acceleration and pedestrian density the pedestrian density interval in which the structure suffering vibration serviceability problems can be found.
引文
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[3]张家华,高承勇,秦卫红,等.大跨度楼面人群荷载作用响应分析[J].建筑结构学报,2011,32(11):177-182.ZHANG J H,GAO C Y,QIN W H,et al.Analysis of vibration responses of long-span floor under crowd loads[J].Journal of Building Structures,2011,32(11):177-182.(in Chinese)
[4]VENUTI F,RACIC V,CORBETTA A.Pedestrianstructure interaction in the vertical direction:coupled oscillator-force model for vibration serviceability assessment[C]//IX International Conference on Structural Dynamics Eurodyn,Porto,Portugal,2014.
[5]朱前坤,李宏男,杜永峰,等.不同行走步速下人行桥振动舒适度定量化评估[J].工程力学,2016,33(10):97-104.ZHU Q K,LI H N,DU Y F,et al.Quantitative evaluation of vibration serviceability of pedestrian bridge under different walking speed[J].Engineering Mechanics,2016,33(10):97-104.(in Chinese)
[6]甄伟,盛平,张力,等.财富中心悬吊楼盖结构舒适度设计及检测[J].建筑结构,2011,41(1):52-54,34.ZHEN W,SHENG P,ZHANG L,et al.Vibration comfort design and experiment of the suspended floor of prosper center[J].Building Structure,2011,41(1):52-54,34.(in Chinese)
[7]潘宁,杜文博,倪志伟,等.计算人群行走楼板响应的随机振动方法[J].建筑科学,2016,32(5):39-43.PAN N,DU W B,NI Z W,et al.Random vibration method for calculating floor vibration response under crowd walking[J].Building Science,2016,32(5):39-43.(in Chinese)
[8]丁国,陈隽.行人荷载随机性对楼盖振动响应的影响研究[J].振动工程学报,2016,29(1):123-131.DING G,CHEN J.Influences of walking load randomness on vibration responses of long-span floors[J].Journal of Vibration Engineering,2016,29(1):123-131.(in Chinese)
[9]杨娜,邱雪.人群集度荷载模型及人致振动模拟分析[J].北京交通大学学报,2016,40(3):88-96.YANG N,QIU X.Crowd density load model and analysis of crowd-induced vibration[J].Journal of Beijing Jiaotong University,2016,40(3):88-96.(in Chinese)
[10]HELBING D,BUZNA L,JOHANSSON A,et al.Self-organized pedestrian crowd dynamics:experiments,simulations,and design solutions[J].Transportation Science,2005,39(1):1-24.
[11]PFEIL M,AMADOR N,PIMENTEL R,et al.Analytic-numerical model for walking person-footbridge structure interaction[C]//International Conference on Structural Dynamics,Eurodyn,2014.
[12]李珊珊,钱大琳,王九州.考虑行人减速避让的改进社会力模型[J].吉林大学学报(工学版),2012,42(3):623-628.LI S S,QIAN D L,WANG J Z.Improved social force model considering pedestrian deceleration to avoid collision[J].Journal of Jilin University(Engineering and Technology Edition),2012,42(3):623-628.(in Chinese)
[13]PARISI D R,GILMAN M,MOLDOVAN H.Amodification of the Social Force Model can reproduce experimental data of pedestrian flows in normal conditions[J].Physica A Statistical Mechanics and Its Applications,2009,388(17):3600-3608.
[14]BRUNO L,VENUTI F.Crowd-structure interaction in footbridges:Modelling,application to a real casestudy and sensitivity analyses[J].Journal of Sound and Vibration,2009,323(1):475-493.