基于小波理论的双六自由度试验台轨道不平顺模拟
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摘要
为了提高轨道不平顺的模拟精度并完善轨道不平顺模拟过程,以轨道不平顺功率谱为研究基础,提出了一种利用小波理论模拟轨道不平顺时域波形的新方法。以美国6级轨道谱为例,分别对比了由三角函数法和小波理论法得到的功率谱模拟值与解析值,明显看出小波理论模拟法精确度更高。将由小波理论模拟法得到的时域波形作为振动激励输入,利用Matlab/Simulink搭建的位姿解算模型进行仿真计算,得到双六自由度试验台各作动器的伸缩量,并在试验台上进行了动态模拟试验,得到的波形复现效果良好,说明本文模拟方法可行。
In order to increase the simulation accuracy and improve the process of track irregularity,with the research foundation of the power spectrum,a new method was proposed by using the wavelet theory to simulate the time domain waveform of track irregularity.Taking the sixth grade track irregularity PSD of US as an example,the simulated values and analytical values of the power spectrum were obtained by using the trigonometric function method and the wavelet theory simulation method respectively.A comparison of the two methods indicates that the wavelet simulation method has higher accuracy.Furthermore,the time domain signal obtained by the wavelet simulation method was taken as the input of vibration excitation,and the extension amount of each actuator of the 2-6 DOF test-bed was obtained by position kinematics solution model,which was built in MatlabSimulink.The simulation experiment was carried out on the test-bed,and good waveform reproduction was obtained,which demonstrates that the proposed simulation method is feasible.
In order to increase the simulation accuracy and improve the process of track irregularity,with the research foundation of the power spectrum,a new method was proposed by using the wavelet theory to simulate the time domain waveform of track irregularity.Taking the sixth grade track irregularity PSD of US as an example,the simulated values and analytical values of the power spectrum were obtained by using the trigonometric function method and the wavelet theory simulation method respectively.A comparison of the two methods indicates that the wavelet simulation method has higher accuracy.Furthermore,the time domain signal obtained by the wavelet simulation method was taken as the input of vibration excitation,and the extension amount of each actuator of the 2-6 DOF test-bed was obtained by position kinematics solution model,which was built in MatlabSimulink.The simulation experiment was carried out on the test-bed,and good waveform reproduction was obtained,which demonstrates that the proposed simulation method is feasible.
引文
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[16]牛治慧,苏建,张益瑞,等.基于转向架试验台的轨道不平顺模拟试验[J].吉林大学学报:工学版,2017,47(5):400-407.Niu Zhi-hui,Su Jian,Zhang Yi-rui,et al.Track irregularity simulation and research based on bogie test rig[J].Journal of Jilin University(Engineering and Technology Edition),2017,47(5):400-407.
[2]Du Y F,Chen C Y,Li X N,Time-domain simulation of high-speed railway track irregularity[J].Applied Mechanics&Materials,2014,587-589:1039-1042.
[3]Tian G Y,Gao J M,Zhai W M.A method for estimation of track irregularity limits using track irregularity power spectrum density of high-speed railway[J].Journal of the China Railway Society,2015,37(1):83-90.
[4]刘寅华,李芾,黄运华.轨道不平顺数值模拟方法[J].交通运输工程学报,2006,6(1):29-33.Liu Yin-hua,Li Fu,Huang Yun-hua.Numerical simulation methods of railway track irregularities[J].Journal of Traffic and Transportation Engineering,2006,6(1):29-33.
[5]张希黔,周敬,葛勇,等.基于谐波合成法的轨道随机不平顺数值模拟[J].公路交通科技,2010,27(4):128-132.Zhang Xi-qian,Zhou Jing,Ge Yong,et al.Simulation of stochastic railway track irregularity based on harmonic synthesis[J].Journal of Highway and Transportation Research and Development,2010,27(4):128-132.
[6]周鹏,胡明珠,孙琪.轨道不平顺信号的小波模拟方法[J].高速铁路技术,2015,6(1):43-47.Zhou Peng,Hu Ming-zhu,Sun Qi.Track irregularity single by simulation based on wavelet theory[J].High Speed Railway Technology,2015,6(1):43-47.
[7]何越磊,陈施宇,李再帏.基于小波变换的轨道不平顺数值模拟方法[J].城市轨道交通研究,2014,17(10):59-62.He Yue-lei,Chen Shi-yu,Li Zai-wei.Track irregularity simulation based on wavelet transform[J].Urban Mass Transit,2014,17(10):59-62.
[8]李再帏,雷晓燕,高亮.轨道短波不平顺数值模拟新方法[J].交通运输工程学报,2016,16(1):37-45.Li Zai-wei,Lei Xiao-yan,Gao Liang.New numerical simulation method of shortwave track irregularity[J].Journal of Traffic and Transportation Engineering,2016,16(1):37-45.
[9]陈春俊,李华超.频域采样三角级数法模拟轨道不平顺信号[J].铁道学报,2006,28(3):38-42.Chen Chun-jun,Li Hua-chao.Track irregularity simulation in frequency domain sampling[J].Journal of the China Railway Society,2006,28(3):38-42.
[10]徐强,陈健云,李静.基于小波理论合成人工地震波[J].振动与冲击,2009,28(8):180-183.Xu Qiang,Chen Jian-yun,Li Jing.Method of synthesis seismic wave based on wavelet reconstruction[J].Journal of Vibration and Shock,2009,28(8):180-183.
[11]曹晓宁,刘玉梅,苏建,等.转向架质心高度的测定[J].吉林大学学报:工学版,2013,43(2):329-333.Cao Xiao-ning,Liu Yu-mei,Su Jian,et al.Determination of mass center height of bogie[J].Journal of Jilin University(Engineering and Technology Edition),2013,43(2):329-333.
[12]刘玉梅,曹晓宁,赵聪聪,等.基于六自由度平台的轨道扭曲不平顺几何信息模拟[J].西南交通大学学报,2014,49(6):1002-1009.Liu Yu-mei,Cao Xiao-ning,Zhao Cong-cong,et al.Geometry simulation of track torsion-irregularity based on 6-DOF platform[J].Journal of Southwest Jiaotong University,2014,49(6):1002-1009.
[13]翟婉明.车辆-轨道耦合动力学[M].3版.北京:科学出版社,2007.
[14]Garg V.Dynamics of Railway Vehicle Systems[M].New York:Academic Press,1984.
[15]王开云,翟婉明,蔡成标.左右轨道不平顺功率谱转换中心线功率谱的方法[J].交通运输工程学报,2002,2(3):27-29.Wang Kai-yun,Zhai Wan-ming,Cai Cheng-biao.Method of equivalency transform for power spectrum density on central line from on left/right rail[J].Journal of Traffic and Transportation Engineering,2002,2(3):27-29.
[16]牛治慧,苏建,张益瑞,等.基于转向架试验台的轨道不平顺模拟试验[J].吉林大学学报:工学版,2017,47(5):400-407.Niu Zhi-hui,Su Jian,Zhang Yi-rui,et al.Track irregularity simulation and research based on bogie test rig[J].Journal of Jilin University(Engineering and Technology Edition),2017,47(5):400-407.
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