移动荷载作用下地铁轨道梁振动影响因素分析  

Analysis of Influencing Factors of Vibration of Subway Track Beam under Moving Loads

作　　者：张标 华立夫 赵晓敏 赵俊 ZHANG Biao;HUA Li-fu;ZHAO Xiao-min;ZHAO Jun(Guangzhou Metro Groupr Co.,Ltd.,Guangzhou 510000;School of Civil Engineering,Anhui Jianzhu University,Hefei 230601;China Railway 19th Bureau Group Sixth Engineering Co.,Ltd,Wuxi 214111)

机构地区：[1]广州地铁集团有限公司,广州510000 [2]安徽建筑大学土木工程学院,合肥230601 [3]中铁十九局集团第六工程有限公司,无锡214111

出　　处：《广州建筑》2024年第4期22-26,共5页GUANGZHOU ARCHITECTURE

基　　金：中铁科研项目“地铁正线轨道减振技术研究与地铁轨道损伤识别与检测方法研究”(HYB20220184);国家自然科学基金-面上项目(12172001)。

摘　　要：城市轨道交通产生的振动问题随着城市化的快速发展已越来越不可忽略。为了更好地分析解决振动带来的影响,本文建立了连续弹性支承无限长轨道梁的模型,研究了它在变速移动荷载下的振动现象。首先建立了连续弹性支承Euler-Bernoulli梁的运动控制方程,然后通过Laplace变换结合Fourier变换把四阶非线性微分方程解的问题转化为常数解的问题,再通过Laplace和Fourier的反变换得到了关于时间和空间上梁振动的解析解,最后利用Mathematica、Matlab软件编程计算其变化规律。计算结果表明,在恒定速度、系统无阻尼下,无限长Euler梁不同位置处的动力响应相同;荷载移动的加速度会对梁的挠度产生影响;增大系统的支承刚度和支承阻尼可以有效减小梁的最大挠度。The vibration problem generated by urban rail transit has become more and more non-negligible with the rapid development of urbanization.In order to better analyze and solve the effects of vibration,this paper establishes a model of a continuously elastically supported infinitely long rail beam and studies its vibration phenomenon under variable speed moving load.Then,the fourth-order nonlinear differential equation solution problem is transformed into a constant solution problem by Laplace transform combined with Fourier transform,and then the analytical solution of the beam vibration in time and space is obtained by the inverse transformation of Laplace and Fourier.Mathematica and Matlab software are used to calculate the variation law.The results show that the dynamic response of the infinitely long Euler beam is the same at different positions under constant velocity and no damping of the system,and the acceleration of the load movement have an effect on the deflection of the beam.

关 键 词：无限长Euler-Bernoulli梁 变速移动荷载 LAPLACE变换 FOURIER变换 动力响应 

分 类 号：TU311.3[建筑科学—结构工程]