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An equivalent moving force model for consideration of human-structure interaction

机译：考虑人机交互作用的等效运动力模型

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摘要

To predict the vibration response of footbridges, many codes of practice use a deterministic moving force (MF) model. This approach may not be well suited for the design of slender, lightweight, low-damping, and low-frequency footbridges because it ignores the pedestrian interaction with the vibrating footbridge. On the other hand, a spring-mass-damper (SMD) model is able to incorporate human mass, stiffness, and damping into the vibration response prediction. However, the SMD model is computationally demanding and not commonly available in engineering practice. To address this shortfall, a framework is proposed to derive a computationally-efficient equivalent MF-structure system to the reference SMD-structure system such that both systems give a similar vibration response metric. Analytical and numerical approaches to the equivalent MF (EMF) system are described in detail and applied to bridges with approximately simply-supported mode shapes. A sensitivity analysis is carried out to show the effects of different pedestrian parameters on the equivalent damping of the EMF system. The effects of pedestrian damping, frequency, and weight are found to be pronounced, while those of dynamic load factors and pedestrian step length are insignificant. Finally, empirical expressions are proposed in a probabilistic framework to determine the equivalent damping for simply-supported low-frequency footbridges as a function of bridge frequency. This work should find use in the serviceability assessment of low-frequency footbridges in engineering practice.
机译：为了预测人行桥的振动响应，许多实践准则都使用确定性移动力（MF）模型。这种方法可能不太适合细长，轻便，低阻尼和低频人行天桥的设计，因为它忽略了行人与振动人行天桥的相互作用。另一方面，弹簧质量阻尼器（SMD）模型能够将人体质量，刚度和阻尼纳入振动响应预测中。但是，SMD模型的计算要求很高，在工程实践中通常不可用。为了解决这个不足，提出了一个框架，以将计算效率高的等效MF结构系统推导到参考SMD结构系统，从而使两个系统都给出相似的振动响应度量。详细描述了等效MF（EMF）系统的分析和数值方法，并将其应用于具有近似简单支撑模式形状的桥梁。进行了灵敏度分析，以显示不同行人参数对EMF系统的等效阻尼的影响。发现行人阻尼，频率和重量的影响是显着的，而动态载荷系数和行人步长的影响则微不足道。最后，在概率框架中提出了经验表达式，以确定简单支撑的低频人行桥的等效阻尼随桥频率的变化。这项工作应在工程实践中用于低频人行天桥的可使用性评估中。

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