采用三维动作捕捉技术,开展了73人次4种跳跃频率下的单人跳跃荷载的试验,将节拍器时刻与跳跃落地时刻的时间差作为有节奏跳跃时的协同性因子。试验数据的统计分析表明,协同性因子的概率分布特性可描述为均匀分布与贝塔分布的组合,分别对应于跳跃人群中个体的随机跳跃和协同跳跃两个成份。利用试验结果确定协同性因子概率分布函数的参数。将协同性因子与单人跳跃的随机荷载模型相结合,可实现对人群跳跃荷载的模拟,实例应用表明了模拟方法的合理性。
This paper investigates the coherency factor of individuals in a jumping crowd. The experiments of single person's jumping load at four sound-guided frequencies were conducted, in which seventy three test subjects participated. The time lag between the metronome's time and the test subject's landing time was used as the coherency factor of rhythmic crowd jumping. The statistical analysis of experimental data shows that probability distribution characteristics of coherency factor can be described as the combination of a uniform distribution and a Beta distribution, which are corresponding respectively to individual random jumping and coherent jumping in crowd. The parameters of the probability density function were determined by experimental results. Simulation of crowd jumping load was carried out by combining the coherency factor model with the single random jumping load model.