匀变速移动双轴车辆荷载下薄壁曲梁桥平面外弯扭振动响应  

Out-of-plane Bending-Torsional Dynamic Response of Thin-walled Curved Beam Bridge under Moving Two-axle Vehicle Load with Uniformly Variable Speed

作　　者：蔡勇[1] 李刘鹏 吕晓勇 陈海珺 CAI Yong;LI Liupeng;LYU Xiaoyong;CHEN Haijun(School of Civil Engineering,Central South University,Changsha 410075,China;School of Civil Engineering,Central South University of Forestry and Technology,Changsha 410004,China)

机构地区：[1]中南大学土木工程学院,湖南长沙410075 [2]中南林业科技大学土木工程学院,湖南长沙410004

出　　处：《铁道学报》2024年第12期154-162,共9页Journal of the China Railway Society

基　　金：国家自然科学基金(51078354);高速铁路建造技术国家工程研究中心开放基金(HSR202302)。

摘　　要：考虑车辆加速或减速过程中前后车轮对曲梁作用力的影响及薄壁曲梁桥的翘曲刚度和阻尼,将车辆荷载简化成移动双轴集中力,研究匀变速车辆荷载下简支薄壁曲梁桥平面外弯扭振动响应。采用Fourier正弦变换和Laplace变换及其逆变换的方法推导匀变速车辆荷载下薄壁曲梁竖向和扭转位移的解析解,并与相关文献及有限元分析结果对比,证明该解析解和理论方法的正确性。在此基础上,探究车辆初速度、车辆加速度、曲梁半径对曲梁平面外弯扭振动响应的影响。研究结果表明:当车辆以大于16 m/s的初速度加速移动时,加速度越大,桥梁跨中振动位移峰值越大;车辆减速移动时,加速度绝对值越大,桥梁跨中振动位移峰值越小;当初速度达到36 m/s时,加速度对薄壁曲梁跨中振动位移峰值影响较小。该方法及结论可为匀变速移动荷载下曲梁结构振动问题提供相关理论参考。By considering the effects of front and rear wheels on the bending force of a curved beam during vehicle acceleration or deceleration,as well as the warping stiffness and damping of a thin-walled curved beam bridge,and by simplifying the vehicle load as a moving two-axle concentrated force,this paper studied the out-of-plane bending-torsional dynamic response of a simply supported thin-walled curved beam bridge under uniformly variable vehicle load.The analytical solutions for the vertical and torsional displacements of thin-walled curved beams under uniformly variable vehicle loads were derived using Fourier sine transform,Laplace transform,and their inverse transforms.The results were compared with those in relevant literature and finite element analysis,proving the correctness of the analytical solution and theoretical method.On this basis,the influence of vehicle initial velocity,vehicle acceleration,and curved beam radius on the out-of-plane bending-torsional dynamic response of the curved beam was investigated.The research results indicate that in the case of the vehicle accelerating at an initial speed greater than 16 m/s,the greater the acceleration,the greater the peak vibration displacement of the bridge mid span.When the vehicle decelerates,the larger the absolute value of acceleration,the smaller the peak vibration displacement of bridge mid span.At the initial speed of 36 m/s,the acceleration has minor effect on the peak vibration displacement of the mid span of the thin-walled curved beam.This research method and conclusions can provide relevant theoretical references for the vibration problem of curved beam structures under moving load with uniformly variable speed.

关 键 词：薄壁曲梁 匀变速 双轴车辆 动力响应 解析解 

分 类 号：TU323.3[建筑科学—结构工程] U441.3[建筑科学—桥梁与隧道工程]