基于改进烦恼率模型的人行桥振动舒适度研究

针对现行人行桥设计规范舒适性评价结果过于保守的问题，首先，基于随机步行荷载模型，经过时程分析得到结构的峰值加速度及行人实感的最大响应分布，通过研究二者之间的相关关系，定义了振动响应折减系数，并建议采用行人实感最大响应作为人行桥舒适度指标；其次，建立了基于改进隶属度函数的烦恼率模型,给出了不同使用环境下的烦恼率曲线；最后，提出考虑行人实感和改进烦恼率模型的人行桥振动舒适度评价方法，以荆州市某人行天桥为例，进行振动舒适度评价。研究表明:峰值加速度与行人实感响应具有显著的相关性，根据振动响应折减系数可建立对应关系；烦恼率拟合曲线与计算结果曲线的最大误差不超过3%，且变异系数取值不同带来的的影响不超过1%；与峰值加速度相比，考虑行人实感的烦恼率计算值与实测值更接近；该类结果对人行桥振动舒适度定量计算具有参考借鉴意义。

Research on vibration comfort of footbridge based on pedestrian's real feeling and annoyance model

In order to overcome the problem that the comfort evaluation results of the footbridge design specification are too conservative. Firstly, randomness of parameters in walking force was taken into account to construct random walk model, and the cumulative probability distribution of the maximum acceleration of the structure and pedestrian feelings were obtained through time history analyses. The reduction coefficient of vibration response was defined by studying the correlation between the vibration response of footbridge and the vibration response of pedestrian feelings. Meanwhile, the maximum response of pedestrian feelings was recommended as the comfort evaluation index. Secondly, the annoyance model was established based on the improved membership function, and the annoyance curves under different use environments were given. Finally, the vibration comfort evaluation method was proposed based on pedestrian sense of reality and improved annoyance model, and the comfort evaluation of a pedestrian overpass in Jingzhou City was carried out. The results show that the peak acceleration has a significant correlation with the maximum vibration response of pedestrian feelings, and the corresponding relationship can be established according to the reduction coefficient of vibration response. The maximum error between the fitting curve of annoyance and the calculation result curve is less than 3%, and the influence of variation coefficient is not more than 1%. Compared with peak acceleration, the calculated value of annoyance considering pedestrian feelings is closer to the experimental result. The results have reference significance for quantitative calculation of footbridge vibration comfort.