A data-driven wavelet-based approach for generating jumping loads

A data-driven wavelet-based approach for generating jumping loads
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一种用于生成跳跃载荷的数据驱动的基于小波的方法

DOI:
10.1016/j.ymssp.2017.12.013
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发表时间:
2018-06
影响因子:
8.4
通讯作者:
Racic Vitomir
Racic Vitomir
中科院分区:
工程技术1区
文献类型:
--
作者:
Chen Jun;Li Guo;Racic Vitomir

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本文提出了一种利用小波变换生成人体跳跃载荷的方法,并建立了个人跳跃力记录数据库。通过三次实验,从147名受试者中首次收集到970个不同频率的个人跳跃力量记录。对于每条记录,提取每个跳跃脉冲,并利用小波变换将其分解为7级。所有的分解系数都存储在信息数据库中。统计分析了跳跃周期、重合度和跳跃脉冲能量的概率分布。受DNA重组理论的启发,提出了一种通过不同跳跃脉冲之间的小波系数互换的方法。为了生成具有N个脉冲的跳跃力时间历史,首先从每个级别的数据库中随机选择小波系数。然后用它们通过小波逆变换重构N个脉冲。然后根据跳跃周期和合同比率的概率函数随机生成跳跃周期和合同比率。这些参数被分配给N个脉冲中的每一个,N个脉冲又被幅度因数βi缩放,以说明连续脉冲之间的能量关系。将所有的N个循环首尾相连,得到最终的弹跳力时间历程。该仿真方法能较好地保留时频域中跳载力的非平稳特性。应用表明,该方法可用于生成单人跳跃引起的弹跳力时程,也可进一步推广到群体和人群的随机弹跳载荷。
This paper suggests an approach to generate human jumping loads using wavelet transform and a database of individual jumping force records. A total of 970 individual jumping force records of various frequencies were first collected by three experiments from 147 test subjects. For each record, every jumping pulse was extracted and decomposed into seven levels by wavelet transform. All the decomposition coefficients were stored in an information database. Probability distributions of jumping cycle period, contact ratio and energy of the jumping pulse were statistically analyzed. Inspired by the theory of DNA recombination, an approach was developed by interchanging the wavelet coefficients between different jumping pulses. To generate a jumping force time history with N pulses, wavelet coefficients were first selected randomly from the database at each level. They were then used to reconstruct N pulses by the inverse wavelet transform. Jumping cycle periods and contract ratios were then generated randomly based on their probabilistic functions. These parameters were assigned to each of the N pulses which were in turn scaled by the amplitude factors β i to account for energy relationship between successive pulses. The final jumping force time history was obtained by linking all the N cycles end to end. This simulation approach can preserve the non-stationary features of the jumping load force in time-frequency domain. Application indicates that this approach can be used to generate jumping force time history due to single people jumping and also can be extended further to stochastic jumping loads due to groups and crowds.
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发表时间: 1951-01-01
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