变速移动列车作用下轨道动力响应的解析解

城市轨道列车在一半以上的线路内处于变速行驶状态.实测分析显示,列车进出站的振动及噪声问题不容忽视.为了研究进出站列车对周围环境的振动影响,基于轨道结构的周期性频域解析模型,从理论上建立了基于频域解析的变速车轨耦合模型,该系统考虑了整车模型、离散支撑轨道模型、轨道不平顺和轮轨赫兹接触等因素,整个求解过程在波数频率域内完成,该模型可以较好的分析轮轨间包括高频在内任意频率带宽的相互作用.同时还编制了完善的变速车轨耦合频域解析模型计算程序,通过计算结果与实测结果的对比,验证了计算程序的正确性,进而对影响变速移动列车作用下轨道动力响应的扣件刚度、列车加速度和列车初速度进行了参数分析.

Analytical solution for vibration response of track subjected to moving train with variable speeds

The train moves with variable speeds within more than half of the metro lines in unban rail transit system.In situ tests results indicated that the excessive vibration and noise in variable-speed section cannot be ignored.In order to study the environmental vibration due to the entering-station and leaving-station trains,the frequency-domain analytical model of coupled vehicle ＆ track in variablespeed section was established,based on the periodical analytical model of the track structure in the frequency domain.The factors of the whole vehicle model,the discrete supported track structure,the track irregularity and wheel-rail Hertz contact were all taken into account.The whole process was finished in the wave number-frequency domain,which provided great convenience for analyzing high-frequency dynamic interaction of the vehicle and track.A complete calculation program was established.Compared with in situ tests results,the calculation program was proved to be correct.Furthermore,the influence of different parameters which include fastener stiffness,train acceleration and train initial speed on the vibration of the track subjected to moving train with variable speeds was also studied.