基于改进半正弦模型的人致振动响应  

Human-Induced Vibration Response Based on the Enhanced Semi-Sine Model

作　　者：李智海 陈得意 黄仕平[2,3] 吴刚杰 LI Zhi-hai;CHEN De-yi;HUANG Shi-ping;WU Gang-jie(School of Urban Construction,Yangtze University,Jingzhou 434020,China;Guangdong Communication Planning&Design Institute Co.,Ltd.,Guangzhou 510640,China;China-Singapore International Joint Research Institute,Guangzhou 510700,China)

机构地区：[1]长江大学城市建设学院,荆州434020 [2]华南理工大学土木与交通学院,广州510640 [3]中新国际联合研究院,广州510700

出　　处：《科学技术与工程》2024年第18期7874-7881,共8页Science Technology and Engineering

基　　金：国家自然科学基金(51978078);湖北省教育厅科学研究计划(Q20221305)。

摘　　要：为研究跳跃荷载对结构振动的影响,首先,提出了改进半正弦模型,建议了人群跳跃荷载模型特征参数;然后,推导了单人跳跃荷载作用下简支梁动力响应解析解;最后,以荆州市万达金街人行天桥为例,对比了跳跃荷载作用下结构加速度响应试验值与数值解,验证了改进半正弦模型的适用性。研究结果表明:改进半正弦模型计算值与实测值的最大误差为2.8%,半正弦模型和半正弦平方模型的相应最大误差分别为23.4%和7.1%;跳跃频率为2.3 Hz时,跳跃荷载频率与结构的一阶自振频率接近,导致结构产生共振;在中高频段,改进半正弦模型响应结果与实测值更为接近;该类结果对跳跃荷载精确模拟具有参考借鉴意义。In order to investigate the effects of jumping loads on structural vibrations.Firstly,an improved semi-sine model was proposed,and characteristic parameters for the crowd jumping load model were suggested.Next,an analytical solution for the dynamic response of a simply supported beam under a single person s jumping load was derived.Finally,using a pedestrian footbridge in Jingzhou City as an example,the experimental and numerical results of the structural acceleration response under jumping loads were compared to validate the applicability of the improved semi-sine model.The results show the improved semi-sine model exhibits a maximum error of 2.8%when compared to experimental measurements.In contrast,the semi-sine and semi-sine squared models exhibit corresponding maximum errors of 23.4%and 7.1%,respectively.At a jumping frequency of 2.3 Hz,the jumping load frequency closely approximates the first-order natural frequency of the structure,resulting in resonance within the structure.In the mid to high-frequency range,the response results of the improved semi-sine model closely align with experimental measurements.These results hold valuable insights for accurately simulating jumping loads.

关 键 词：改进半正弦模型 跳跃荷载 人行桥 振动响应分析 

分 类 号：U441.3[建筑科学—桥梁与隧道工程]