基于几何滤波效应的高速列车牵引变压器悬挂参数设计
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摘要
为了对高速列车牵引变压器悬挂参数进行设计,提出了一种基于几何滤波效应的变压器悬挂参数设计思路。建立车辆-变压器耦合系统模型,推导了车辆振动响应功率谱密度函数,并从轨道不平顺激励函数、车辆设备耦合系统频响函数、车辆系统振动响应谱密度函数的角度出发探讨了滤波效应对车辆系统振动特性的影响,通过将变压器悬挂频率设计为滤波频率来衰减车体的弹性振动。研究结果表明:在低频范围车体极易因为轨道低频激励能量过大引起车体产生强迫振动;两种典型速度下,车体的低阶垂弯模态与轮轨激励共同作用导致车体产生较大振动幅值;车体的高阶垂弯模态因为滤波效应或者激励能量过低导致车体在高阶垂弯模态频率处振幅较小;对于设计时速250 km/h的高速列车,其变压器悬挂频率设计为9.8 Hz能显著衰减车体的弹性振动。研究结果可以为高速列车车下设备悬挂参数设计提供指导意义。
A new method based on geometry filtering effect has been put forward to obtain optimal suspension parameter in this paper. First, the vehicle-equipment system model is established, and the power spectral density function is derived. Then, the excitation mechanism of track irregularity on the vehicle-equipment vibration is analyzed based on FRF and PSD. At last, the suspension frequency of traction transformer is designed considering geometry filtering effect. The result shows that vehicle can easily occur forced vibration because of large incentive energy during low frequency range. The higher order vertical bending mode of vehicle produces small amplitude at higher vertical bending frequency due to filtering effect or low incentive energy at two typical speeds. The traction transformer suspension frequency is determined 9.8 Hz based on geometric filtering effect considering the design of a 250 km/h high-speed train. This method can reduce the vehicle vibration effectively, and provide guidance basis for traction transformer designing underfloor.
A new method based on geometry filtering effect has been put forward to obtain optimal suspension parameter in this paper. First, the vehicle-equipment system model is established, and the power spectral density function is derived. Then, the excitation mechanism of track irregularity on the vehicle-equipment vibration is analyzed based on FRF and PSD. At last, the suspension frequency of traction transformer is designed considering geometry filtering effect. The result shows that vehicle can easily occur forced vibration because of large incentive energy during low frequency range. The higher order vertical bending mode of vehicle produces small amplitude at higher vertical bending frequency due to filtering effect or low incentive energy at two typical speeds. The traction transformer suspension frequency is determined 9.8 Hz based on geometric filtering effect considering the design of a 250 km/h high-speed train. This method can reduce the vehicle vibration effectively, and provide guidance basis for traction transformer designing underfloor.
引文
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[14] 周劲松,孙文静,宫岛.铁道车辆几何滤波现象及弹性车体共振分析[J].同济大学学报(自然科学版),2009,37(12):1653-1657.ZHOU Jinsong,SUN Wenjing,GONG Dao.Analysis on geometric filtering phenomenon and flexible car body resonant vibration of railway vehicles[J].Journal of Tongji University (Natural Science),2009,37(12):1653-1657.
[2] SUN W,GONG D,ZHOU J,et al.Influences of suspended equipment under car body on high-speed train ride quality [J].Procedia Engineering,2011,16(1):812-817.
[3] DUMITRIU M.Influence of suspended equipment on the carbody vertical vibration behaviour of high-speed railway vehicles [J].Archive of Mechanical Engineering,2016,63(1):145-162.
[4] SUN W,ZHOU J,GONG D,et al.Analysis of modal frequency optimization of railway vehicle car body[J].Advances in Mechanical Engineering,2016,8(4):1-12.
[5] GONG D,ZHOU J S,SUN W J.On the resonant vibration of a flexible railway car body and its suppression with a dynamic vibration absorber [J].Journal of Vibration & Control,2013,19(5):649-657.
[6] ZHOU J,GOODALL R M,REN L,et al.Influences of car body vertical flexibility on ride quality of passenger railway vehicles [J].Proceedings of the Institution of Mechanical Engineers Part F Journal of Rail & Rapid Transit,2009,223(5):461-471.
[7] 石怀龙,罗仁,邬平波,等.基于动力吸振原理的动车组车下设备悬挂参数设计[J].机械工程学报,2014,50(14):155-161.SHI Huailong,LUO Ren,WU Pingbo,et al.Suspension parameters designing of equipment for electric multiple units based on dynamic vibration absorber theory[J].Journal of Mechanical Engineering,2014,50(14):155-161.
[8] SHI H,LUO R,WU P,et al.Influence of equipment excitation on flexible carbody vibration of EMU [J].Journal of Modern Transportation,2014,22(4):195-205.
[9] 吴会超,邬平波,吴娜,等.车下设备悬挂参数与车体结构之间匹配关系研究[J].振动与冲击,2013,32(3):124-128.WU Huichao,WU Pingbo,WU Na,et al.Matching relations between equipment suspension parameters and a carbody structure[J].Journal of Vibration and Shock,2013,32(3):124-128.
[10] STRIBERSKY A,MOSER F,PETERS J L,et al.Innovative system dynamics analyses of rail vehicles[J].Vehicle System Dynamics,2004,41:448-457.
[11] CHELI F,CORRADI R.On rail vehicle vibrations induced by track unevenness:analysis of the excitation mechanism [J].Journal of Sound and Vibration,2011,330:3744-3765.
[12] SUZUKI Y,AKUTSU K.Theoretical analysis of flexural vibration of car body [J].Railway Technical Research Institute Quarterly Reports,1990,31(2):42-48.
[13] WU P,ZENG J,DAI H.Dynamic response analysis of railway passenger car with flexible carbody model based on semi-active suspensions [J].Vehicle System Dynamics,2004,41:774-783.
[14] 周劲松,孙文静,宫岛.铁道车辆几何滤波现象及弹性车体共振分析[J].同济大学学报(自然科学版),2009,37(12):1653-1657.ZHOU Jinsong,SUN Wenjing,GONG Dao.Analysis on geometric filtering phenomenon and flexible car body resonant vibration of railway vehicles[J].Journal of Tongji University (Natural Science),2009,37(12):1653-1657.