Stochastic approach to modelling of near-periodic jumping loads

Stochastic approach to modelling of near-periodic jumping loads
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DOI:
10.1016/j.ymssp.2010.05.019
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发表时间:
2010-11
影响因子:
8.4
通讯作者:
V. Racic;A. Pavic
V. Racic;A. Pavic
中科院分区:
工程技术1区
文献类型:
--
作者:
V. Racic;A. Pavic

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建立了一个产生由单人跳跃引起的随机合成垂直力信号的数学模型。该模型是基于一个独特的数据库的实验测量的个人跳跃负荷,具有最广泛的范围内可能的跳跃频率。该模型能够复制真实的跳跃载荷的许多时间和光谱特征,这使得该模型比结合傅里叶级数分析的传统半正弦模型具有明显的优势。这包括模拟无所不在的缺乏对称性的个别跳跃脉冲和跳跃的幅度和定时的变化。因此,该模型属于新一代的合成窄带跳跃载荷,更好地模拟现实。所提出的数学概念表征的近周期的跳跃脉冲可用于土木工程装配结构,如看台,观众席,人行天桥和音乐会或健身房地板的振动适用性评估,以估计更现实的动态结构响应,由于人跳。
A mathematical model has been developed to generate stochastic synthetic vertical force signals induced by a single person jumping. The model is based on a unique database of experimentally measured individual jumping loads which has the most extensive range of possible jumping frequencies. The ability to replicate many of the temporal and spectral features of real jumping loads gives this model a definite advantage over the conventional half-sine models coupled with Fourier series analysis. This includes modelling of the omnipresent lack of symmetry of individual jumping pulses and jump-by-jump variations in amplitudes and timing. The model therefore belongs to a new generation of synthetic narrow band jumping loads which simulate reality better. The proposed mathematical concept for characterisation of near-periodic jumping pulses may be utilised in vibration serviceability assessment of civil engineering assembly structures, such as grandstands, spectator galleries, footbridges and concert or gym floors, to estimate more realistically dynamic structural response due to people jumping.