A nonlinear analysis for the lateral girder response of footbridges induced by pedestrians

B. Zhen, W. Xie
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引用次数: 1

Abstract

This paper presents a nonlinear analysis for the motion of equations proposed by Nakamura [8] to predict the lateral girder response induced by pedestrians on footbridges. The relationship between the lateral vibration of footbridge and the coefficients in Nakamura's model, including the rate of a pedestrian's lateral force, pedestrian density, rate of synchronized pedestrians, and pedestrians' attitude to large vibration amplitude, has been revealed, the simulation results demonstrate the validity of our theoretical analysis. The influence of the function to describe how pedestrians synchronize with the bridge natural frequency in Nakamura's model on lateral vibration of footbridge has been known. Our result shows that pedestrians are not always most likely to synchronize at the bridge frequency around 1.0Hz.
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行人作用下人行桥侧梁响应的非线性分析
本文对Nakamura[8]提出的用于预测行人在人行桥上引起的侧梁响应的运动方程进行了非线性分析。揭示了人行天桥横向振动与Nakamura模型中行人侧向力率、行人密度、同步行人率和行人对大振幅振动的态度等系数之间的关系,仿真结果验证了理论分析的有效性。Nakamura模型中描述行人与桥梁固有频率同步的函数对人行桥横向振动的影响是已知的。我们的结果表明,行人并不总是最有可能在1.0Hz左右的桥梁频率同步。
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