车-轨-桥动力系统中Rayleigh阻尼参数分析  

Analysis of rayleigh damping parameters in a dynamic system of vehicle-track-bridge

作　　者：李小珍[1] 雷虎军[1] 朱艳[1] 

机构地区：[1]西南交通大学土木工程学院,成都610031

出　　处：《振动与冲击》2013年第21期52-57,73,共7页Journal of Vibration and Shock

基　　金：教育部新世纪优秀人才支持计划(NCET-10-0701);国家高技术研究发展计划(863)(2011AA11A103);国家重点基础研究发展计划(973)(2013CB036301);四川省杰出青年学术技术带头人计划(2010JQ0018);西南交通大学扬华之星项目资助

摘　　要：针对车-轨-桥动力系统中Rayleigh阻尼参数的取值问题,以高速铁路40m简支梁桥、板式无砟轨道和高速列车为对象,采用桥梁动力分析程序BDAP V2.0分析了结构阻尼比和参考频率选取对耦合系统动力响应的影响规律,并基于Rayleigh阻尼模型的带通滤波特征提出了车-轨-桥动力系统中Rayleigh阻尼参数的统一取值方法。结果表明:桥梁位移、加速度、脱轨系数和轮重减载率均随阻尼比的增大而减小,但车体加速度随阻尼比的增加变化却不大。当阻尼比ξ和参考频率ωi一定时,增大参考频率ωj相当于降低阻尼比ξ,车桥系统的动力响应随之增大。在车-轨-桥动力系统中,建议结构阻尼比ξ根据材料类型取较小值,参考频率ωi取结构基频ω1,ωj取轨道几何不平顺产生的最高激振频率ωf=最高车速/轨道几何不平顺最小波长。Abstract： Aiming at selection of Rayleigh damping parameters in a dynamic system of vehicle-track-bridge, one dynamic model consisting of a high-speed railway bridge with a span of 40m, a slab track and a high-speed vehicle was taken as an example. The dynamic responses of the bridge and vehicle were calculated with BDAP V2.0, a bridge dynamic analysis program. The effects of damping ratio and reference frequency on the dynamic response of the coupled system were analyzed. Based on the band-pass filtering characteristic of Rayleigh damping model, a unified method to obtain Rayleigh damping parameters was proposed. The results indicated that the dynamic responses including displacement and acceleration of the bridge, deraihnent coefficient and wheel unloading rate decrease with increase in damping ratio; the acceleration of the vehicle only changes a litter; when damping ratio s~ and reference frequency wi keep constant, the dynamic responses of the bridge and vehicle increase with increase in reference frequency o）i, it is equivalent to decrease in damping ratio. Some suggestions about selection of Rayleigh clamping parameters were presented. The damping ratio was suggested to be a smaller value according to the material types, the reference frequency wi was suggested to be equal to the fundamental frequency w~ of the structure, the reference frequency %was suggested to be equal to the highest excitation frequency o^f under track geometry irregularity through dividing the highest speed by the smallest wavelength of track geometry irregularity.

关 键 词：高速铁路 车-轨-桥耦合系统 Rayleigh阻尼参数 阻尼比 参考频率 轨道不平顺 

分 类 号：U24[交通运输工程—道路与铁道工程] TB123[理学—工程力学]