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针对行人引起人行桥的振动响应计算复杂的问题。首先将行人荷载考虑为确定性模型,推导了单个行人过桥时振动响应的解析表达式,给出了人致桥梁共振、非共振响应的简化表达式,可以方便地计算人行桥结构的动力响应。在动力响应简化表达式的基础上给出了人致桥梁振动放大系数。最后,结合某人行桥结构,对比分析了本文的简化公式及放大系数与前人的研究成果,验证了本文方法的精度和正确性。
Complicated Computation of Vibration Response of Footbridge Caused by Pedestrians. Firstly, considering the pedestrian load as a deterministic model, an analytical expression of the vibration response of a single pedestrian crossing the bridge is deduced. A simplified expression of resonance and non-resonance response of the bridge is given. The dynamic response of the pedestrian bridge can be easily calculated . Based on the simplified expression of dynamic response, the bridge vibration amplification factor is given. Finally, combining the bridge structure of a certain person, the simplification formula and amplification factor of this paper are contrastively analyzed with the previous research results, which proves the accuracy and correctness of this method.