基于烦恼率模型的人致人行桥振动舒适度分析
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U441.3

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国家自然科学基金(11911530692, 11672108)


Study on Pedestrian-induced Vibration Comfortability of Footbridge Based on Annoyance Model
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    摘要:

    为实现人致人行桥振动舒适度定量计算,首先,在同一坐标系中研究隶属度函数与人行桥加速度响应之间的函数关系,联系桥上行人心理连续体上的感受区间呈非等距特征,提出基于Stevens幂函数定律的改进隶属度函数,将改进隶属度函数与传统计算公式及实验结果进行比较;其次,综合考虑行人主观反应随机性、个体差异性及变异性,建立人致人行桥振动烦恼率模型,为舒适度定量计算提供理论依据;最后,在基于烦恼率模型的分析方法框架之下建立人行桥竖向及侧向振动舒适度分析方法,建议同时考虑竖向及侧向耦合振动舒适度评价方法,并采用一个实桥分析案例对上述分析流程的应用进行说明。研究结果表明:隶属度与加速度响应之间呈指数函数关系,即服从Stevens幂函数定律;当加速度响应小于人体承受极限时,可采用逐级增量法对行人心理物理量进行描述;改进隶属度函数值与传统隶属度值、实验值之间的最大误差均不超过1%;竖向及侧向振动烦恼率曲线的误差不超过0.04,且变异系数的影响不超过3%;综合考虑人体在不同振动环境下的敏感程度,建议容许烦恼率指标取为22%,具体评估工作中不可忽略人行桥振动响应对容许烦恼率指标的影响;烦恼率计算值与实测值之间的误差不超过3%;该类结果可为在役桥梁振动舒适度定量计算提供直接参考。

    Abstract:

    This study attempts to realize the quantitative calculation of pedestrian-induced vibration comfortability of footbridge. First, the functional relationship between membership and acceleration response of footbridge was studied in the same coordinate system. An improved membership based on Stevens power function law was proposed considering that the unequal spaced perception interval of pedestrian psychological continuum on the footbridge. The membership was compared with the traditional calculation formula and experimental results. Second, the randomness, individual difference and variability of pedestrian subjective response were considered to establish the pedestrian-induced vibration annoyance model as these can provide theoretical basis for quantitative calculation of comfortability. Finally, the vertical and lateral vibration comfortability analysis method was established based on the annoyance model. For this method, the vertical and lateral coupling vibration comfortability were considered at the same time. A case study was conducted to illustrate the application of the proposed analytical procedure. The results show that the relationship between membership and acceleration response is exponential function, which obeys Stevens power function law. When the acceleration response is less than the human body's endurance limit, the step-by-step incremental method can be used to describe the psychophysical quantities. The maximum error between the improved membership function value and the traditional membership value is less than 1%. The errors of vertical and lateral vibration annoyance curve are not more than 0.04, and the influence of coefficient of variation is not more than 3%. It is suggested that the allowable annoyance can be 22% when considering the sensitivity of human body in different vibration environments and that the effects of the vibration response must not be neglected. The error between the calculated value of annoyance and the measured value is less than 3%. The obtained information can provide some direct references for the quantitative calculation of vibration comfortability of existing bridges.

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陈得意,黄仕平,杜磊,等. 基于烦恼率模型的人致人行桥振动舒适度分析[J]. 科学技术与工程, 2021, 21(36): 15609-15616.
Chen Deyi, Huang Shiping, Du Lei, et al. Study on Pedestrian-induced Vibration Comfortability of Footbridge Based on Annoyance Model[J]. Science Technology and Engineering,2021,21(36):15609-15616.

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  • 收稿日期:2021-02-28
  • 最后修改日期:2021-10-02
  • 录用日期:2021-08-27
  • 在线发布日期: 2022-01-04
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