摘要
为研究人致荷载中的随机性对人行桥结构振动响应的影响,首先,提出了四种考虑时—空多尺度的随机行走模型,对随机步行荷载激励下的动力学方程进行了解耦;其次,分析了每种模型的峰值加速度响应、桥上驻留人数以及人群占位区间上的变化规律;最后,对比研究了不同模型之间的区别。研究结果表明:有序排列模型(ordered arrangement model,OAM)的响应值域范围较广,易出现大幅振动,人行桥峰值加速度出现时刻,人群荷载主要作用在跨中位置;随机分布模型(stochastic distribution mode,SDM)、随机到达模型(stochastic arrival model,SAM)以及动态平衡模型(dynamic equilibrium model,DEM)的峰值加速度响应均服从正态分布规律,且结构最大响应时人群主要分布在下桥端附近;SDM的驻留人数主要与初始时刻人数相同,DEM的驻留人数取决于稳态下的行人数,SAM则相对均匀;考虑行人行走随机性的4种模型可用于人致人行桥振动响应分析和舒适度评估。
In order to study the random pedestrian-induced load influence on the footbridge vibration responses,First,four random walking models considering time-space multi-scale were proposed.The dynamic equations under random walking load excitation were decoupled.Second,the peak acceleration response for each model,the number of people staying on footbridge and the rule of population occupancy interval were analyzed.Finally,the differences between different models were studied.The results show that the vibration response range of the ordered arrangement model(OAM)is wide,and it is prone to large vibration.When the peak acceleration occurs,the crowd load acts on the mid-span position.The peak acceleration responses of the stochastic distribution mode(SDM),stochastic arrival model(SAM)and dynamic equilibrium model(DEM)obey the normal distribution law.The population is mainly distributed near the end of footbridge when the maximum responses occur.The number of SDM residents are the same as the initial number,DEM residents depend on the number of rows in steady situation,and SAM is relatively uniform.Four random walking models can be used for vibration response analysis and vibration comfort evaluation for footbridges.
作者
王振宇
陈得意
杜磊
曾磊
WANG Zhen-yu;CHEN De-yi;DU Lei;ZENG Lei(School of Urban Construction, Yangtze University, Jingzhou 434000, China;Guangdong Communication Planning & Design Institute Co.,Ltd, Guangzhou 510440, China)
出处
《科学技术与工程》
北大核心
2021年第31期13536-13544,共9页
Science Technology and Engineering
基金
国家自然科学基金(51978078)。
关键词
人行桥
人致振动
随机行走模型
振动响应
正态分布
footbridge
pedestrian-induced vibration
random walking model
vibration response
normal distribution
作者简介
第一作者:王振宇(1997—),男,汉族,山东枣庄人,硕士研究生,研究方向:桥梁结构振动,E-mail:wzyu5473@163.com;通信作者:陈得意(1987—),男,汉族,湖北罗田人,博士,讲师,研究方向:人致桥梁结构振动,E-mail:dychen@yangtzeu.edu.cn。
