车-轨-桥动力系统中Rayleigh阻尼参数分析

李小珍;雷虎军;朱艳

振动与冲击 ›› 2013, Vol. 32 ›› Issue (21) : 52-57.

PDF(2160 KB)
PDF(2160 KB)
振动与冲击 ›› 2013, Vol. 32 ›› Issue (21) : 52-57.
论文

车-轨-桥动力系统中Rayleigh阻尼参数分析

  • 李小珍,雷虎军,朱艳
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Analysis of Rayleigh Damping Parameters in Dynamic System of Vehicle-Track-Bridge

  • LI Xiao-zhen,LEI Hu-jun,ZHU Yan
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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 the value of Rayleigh damping parameters in dynamic system of vehicle-track-bridge, one dynamic model was taken as an example, consisting of a high-speed railway bridge with a span of 40m, a slab track and a high-speed vehicle model. The dynamic responses of the bridge and vehicle were calculated by BDAP V2.0 (bridge dynamic analysis program) and the effects of damping ratio and reference frequency were analyzed. Based on the band-pass filtering characteristic of Rayleigh damping model, a unified method to obtain the value of Rayleigh damping parameters was proposed. The results indicate that the dynamic responses decrease with the damping ratio increased, including displacement and acceleration of the bridge, derailment coefficient and wheel unloading rate. The acceleration of the vehicle only changes a litter. When the damping ratio and ωi keep constant, the dynamic responses increase with the ωj increased, as the damping ratio decreased. Some suggestions about the value of Rayleigh damping parameters are presented, that is, the damping ratio is suggested as a smaller value from a certain closed interval according to the material types, ωi the fundamental frequency of the structure (ω1), ωj the highest excitation frequency under track geometry irregularity (ωf) 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

Key words

high-speed railway / vehicle-track-bridge coupled system / Rayleigh damping parameters / damping ratio / reference frequency / track irregularity

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导出引用
李小珍;雷虎军;朱艳. 车-轨-桥动力系统中Rayleigh阻尼参数分析[J]. 振动与冲击, 2013, 32(21): 52-57
LI Xiao-zhen;LEI Hu-jun;ZHU Yan. Analysis of Rayleigh Damping Parameters in Dynamic System of Vehicle-Track-Bridge[J]. Journal of Vibration and Shock, 2013, 32(21): 52-57

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