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Stochastic approach to modelling of near-periodic jumping loads

机译：近周期跳跃载荷建模的随机方法

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摘要

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.
机译：已经开发了数学模型以生成由单人跳跃引起的随机合成垂直力信号。该模型基于实验测量的单个跳跃载荷的唯一数据库，该数据库具有最大范围的可能跳跃频率。复制真实跳跃载荷的许多时间和频谱特征的能力为该模型提供了优于传统半正弦模型和傅立叶级数分析的绝对优势。这包括对单个跳跃脉冲的普遍性缺乏对称性以及幅度和时序的逐跳变化建模。因此，该模型属于新一代合成窄带跳跃载荷，可以更好地模拟现实。提出的用于表征近周期跳跃脉冲的数学概念可用于土木工程装配体结构（如看台，观众席，人行天桥以及音乐会或体育馆地板）的振动可使用性评估，以评估由于人员跳跃而产生的更实际的动态结构响应。

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