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Mathematical model to generate near-periodic human jumping force signals

机译:产生近周期人体跳跃力信号的数学模型

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A mathematical modelling procedure has been developed to generate synthetic vertical force signals induced by a single person jumping. The ability to replicate much of the temporal and spectral features of real jumping loads give 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 narrowband jumping loads that simulate reality better. The proposed mathematical concept for characterisation of irregular jumping pulses may be utilised in vibration serviceability assessment of civil engineering assembly structures, such as grandstands, footbridges and concert or gym floors, to estimate realistic dynamic structural response due to people jumping.
机译:已经开发了数学建模程序以生成由单人跳跃引起的合成垂直力信号。复制真实跳跃载荷的大部分时间和频谱特征的能力使该模型具有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。提出的用于表征不规则跳跃脉冲的数学概念可用于土木工程装配结构(如看台,人行天桥,音乐会或体育馆地板)的振动可使用性评估,以估计由于人跳跃而引起的实际动态结构响应。

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