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.
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.