高速列车动载下无砟轨道路基颗粒层振动细观分析
|
摘要
基于FDM-DEM耦合方法建立高铁无砟轨道路基结构实尺数值模型,并通过与现场实测数据对比来验证模型合理性.在此基础上,对基床颗粒材料的细观动力响应进行分析,主要结论如下:第一,随着列车速度的不断提高,颗粒内部主力链的分布密度将出现不同程度的下降,当列车速度提高至350km/h以上时,力链网络将出现较明显的弱化,且力链弱化影响深度随列车速度同步增加.第二,车速为150km/h时,颗粒振动响应前三阶特征主频对应的特征长度与列车车体结构的特征长度具有良好的对应关系;当车速达到250～350km/h区间时,颗粒振动频谱出现新的特征频率;当车速达到400km/h时,颗粒振动响应的高频成分开始显现,在60～130Hz区间形成多个峰值.
Based on the FDM-DEM coupling method,the real-scale numerical model of the highspeed ballastless track subgrade structure is established,and the reliability of the model is verified by comparison with the field measured data.Then the mesoscopic dynamic response of the granular material of the subgrade bed is analyzed,and main conclusions are as follows:First,as the speed of trains continues to increase,the density of the main force chain in the particles will decrease to varying degrees.When the train speed increases to above 350 km/h,the overall strength of the force chain network will be significantly weakened.The depth of the weakening of force chain network increases with the train speed.Second,when the train speed reaches 150 km/h,the characteristic length corresponding to the first three order characteristicfrequencies of the particle vibration response has a good correspondence with the characteristic length of the train body structure.When the train speed reaches 250 km/h to 350 km/h,some new characteristic frequencies appears;when the vehicle speed reaches 400 km/h,the high-frequency component of the particle vibration begins to appear,and several peaks are found in the interval of 60 Hz to 130 Hz.
Based on the FDM-DEM coupling method,the real-scale numerical model of the highspeed ballastless track subgrade structure is established,and the reliability of the model is verified by comparison with the field measured data.Then the mesoscopic dynamic response of the granular material of the subgrade bed is analyzed,and main conclusions are as follows:First,as the speed of trains continues to increase,the density of the main force chain in the particles will decrease to varying degrees.When the train speed increases to above 350 km/h,the overall strength of the force chain network will be significantly weakened.The depth of the weakening of force chain network increases with the train speed.Second,when the train speed reaches 150 km/h,the characteristic length corresponding to the first three order characteristicfrequencies of the particle vibration response has a good correspondence with the characteristic length of the train body structure.When the train speed reaches 250 km/h to 350 km/h,some new characteristic frequencies appears;when the vehicle speed reaches 400 km/h,the high-frequency component of the particle vibration begins to appear,and several peaks are found in the interval of 60 Hz to 130 Hz.
引文
[1]BIAN X,JIANG H,CHEN Y,et al.A full-scale physical model test apparatus for investigating the dynamic performance of the slab track system of a highspeed railway[J].Proceedings of the Institution of Mechanical Engineers Part F:Journal of Rail and Rapid Transit,2016,230(2):554-571.
[2]KRYLOV V V,DAWSON A R,HEELIS M E,et al.Rail movement and ground waves caused by high-speed trains approaching track-soil critical velocities[J].Proceedings of the Institution of Mechanical Engineers Part F:Journal of Rail and Rapid Transit,2000,214(2):107-116.
[3]冯青松,成功.波数有限元法分析频率域内无砟轨道刚度的动力特性[J].铁道学报,2017,39(12):102-107.FENG Qingsong,CHENG Gong.Dynamic characteristics analysis of ballastless track stiffness in frequency domain by using wavenumber finite element method[J].Journal of the China Railway Society,2017,39(12):102-107.(in Chinese)
[4]ZHAI W,WEI K,SONG X,et al.Experimental investigation into ground vibrations induced by very high speed trains on a non-ballasted track[J].Soil Dynamics&Earthquake Engineering,2015,72:24-36.
[5]HUANG H,CHRISMER S.Discrete element modeling of ballast settlement under trains moving at“critical speeds”[J].Construction&Building Materials,2013,38:994-1000.
[6]NGO N T,INDRARATNA B,RUJIKIATKAMJORNC.Simulation ballasted track behavior:numerical treatment and field application[J].International Journal of Geomechanics,2016,17(6):04016130.
[7]赵春发,张徐,翟婉明.高速铁路碎石道砟振动的离散元模拟[J].计算力学学报,2015,32(5):674-680.ZHAO Chunfa,ZHANG Xu,ZHAI Wanming.A discrete element simulation of high-speed railway ballast vibration[J].Chinese Journal of Computational Mechanics,2015,32(5):674-680.(in Chinese)
[8]肖军华,张德,王延海,等.基于DEM-FDM耦合的普通铁路碎石道床-土质基床界面接触应力分析[J].工程力学,2018,35(9):170-179.XIAO Junhua,ZHANG De,WANG Yanhai,et al.Study of interface stress between ballast and subgrade for traditional railway based on coupled DEM-FDM[J].Engineering Mechanics,2018,35(9):170-179.(in Chinese)
[9]蒋红光,边学成,徐翔,等.列车移动荷载下高速铁路板式轨道路基动力性态的全比尺物理模型试验[J].岩土工程学报,2014,36(2):354-362.JIANG Hongguang,BIAN Xuecheng,XU Xiang,et al.Full-scale model tests on dynamic performances of ballastless high-speed railways under moving train loads[J].Chinese Journal of Geotechnical Engineering,2014,36(2):354-362.(in Chinese)
[10]金炜枫,周健.列车振动下隧道与土体响应的双尺度耦合模拟[J].岩石力学与工程学报,2011,30(5):1016-1024.JIN Weifeng,ZHAO Jian.Two-scale coupled of tunnel-soil vibrations under train excitation[J].Chinese Journal of Rock Mechanics and Engineering,2011,30(5):1016-1024.(in Chinese)
[11]SITHARAM T G,NIMBKAR M S.Micromechanical modelling of granular materials:effect of particle size and gradation[J].Geotechnical&Geological Engineering,2000,18(2):91-117.
[12]孙其诚,程晓辉,季顺迎,等.岩土类颗粒物质宏-细观力学研究进展[J].力学进展,2011,41(3):351-371.SUN Qicheng,CHENG Xiaohui,JI Shunying,et al.Advances in the micro-macro mechanics of granular soil materials[J].Advances in Mechanics,2011,41(3):351-371.(in Chinese)
[13]WANG Z,RUIKEN A,JACOBS F,et al.A new suggestion for determining 2Dporosities in DEM studies[J].Geomechanics&Engineering,2014,7(6):665-678.
[14]李思超.级配碎石shakedown行为的颗粒流数值模拟[D].西安:长安大学,2013.LI Sichao.Numerical simulation of shakedown behavior of graded broken stone based on particle flow code[D].Xi’an:Chang’an University,2013.(in Chinese)
[15]刘宝,苏谦,PHAM DucPhong,等.不同含水状态级配碎石临界动应力及变形规律研究[J].铁道学报,2016,38(6):100-107.LIU Bao,SU Qian,PHAM D P,et al.Study of critical dynamic stress and deformation law of graded gravel under different moisture content[J].Journal of the China Railway Society,2016,38(6):100-107.(in Chinese)
[16]张徐.高速铁路散粒体道床宏细观力学行为的数值模拟与试验研究[D].成都:西南交通大学,2017.ZHANG Xu.Numerical simulation and experiment study on macro-meso mechanical behaviors of highspeed railway ballast[D].Chengdu:Southwest Jiaotong University,2017.(in Chinese)
[17]屈畅姿,王永和,魏丽敏,等.武广高速铁路路基振动现场测试与分析[J].岩土力学,2012,33(5):1451-1456.QU Changzi,WANG Yonghe,WEI Limin,et al,Insitu test and analysis of vibration of subgrade for Wuhan-Guangzhou high-speed railway[J].Rock and Soil Mechanics,2012,33(5):1451-1456.(in Chinese)
[18]杨涵,徐文杰,张启斌.散体颗粒介质变形局部化宏-细观机制研究[J].岩石力学与工程学报,2015,34(8):1692-1701.YANG Han,XU Wenjie,ZHANG Qibin,Macro-and meso-mechanism of strain localization in granular material[J].Chinese Journal of Rock Mechanics and Engineering,2015,34(8):1692-1701.(in Chinese)
[2]KRYLOV V V,DAWSON A R,HEELIS M E,et al.Rail movement and ground waves caused by high-speed trains approaching track-soil critical velocities[J].Proceedings of the Institution of Mechanical Engineers Part F:Journal of Rail and Rapid Transit,2000,214(2):107-116.
[3]冯青松,成功.波数有限元法分析频率域内无砟轨道刚度的动力特性[J].铁道学报,2017,39(12):102-107.FENG Qingsong,CHENG Gong.Dynamic characteristics analysis of ballastless track stiffness in frequency domain by using wavenumber finite element method[J].Journal of the China Railway Society,2017,39(12):102-107.(in Chinese)
[4]ZHAI W,WEI K,SONG X,et al.Experimental investigation into ground vibrations induced by very high speed trains on a non-ballasted track[J].Soil Dynamics&Earthquake Engineering,2015,72:24-36.
[5]HUANG H,CHRISMER S.Discrete element modeling of ballast settlement under trains moving at“critical speeds”[J].Construction&Building Materials,2013,38:994-1000.
[6]NGO N T,INDRARATNA B,RUJIKIATKAMJORNC.Simulation ballasted track behavior:numerical treatment and field application[J].International Journal of Geomechanics,2016,17(6):04016130.
[7]赵春发,张徐,翟婉明.高速铁路碎石道砟振动的离散元模拟[J].计算力学学报,2015,32(5):674-680.ZHAO Chunfa,ZHANG Xu,ZHAI Wanming.A discrete element simulation of high-speed railway ballast vibration[J].Chinese Journal of Computational Mechanics,2015,32(5):674-680.(in Chinese)
[8]肖军华,张德,王延海,等.基于DEM-FDM耦合的普通铁路碎石道床-土质基床界面接触应力分析[J].工程力学,2018,35(9):170-179.XIAO Junhua,ZHANG De,WANG Yanhai,et al.Study of interface stress between ballast and subgrade for traditional railway based on coupled DEM-FDM[J].Engineering Mechanics,2018,35(9):170-179.(in Chinese)
[9]蒋红光,边学成,徐翔,等.列车移动荷载下高速铁路板式轨道路基动力性态的全比尺物理模型试验[J].岩土工程学报,2014,36(2):354-362.JIANG Hongguang,BIAN Xuecheng,XU Xiang,et al.Full-scale model tests on dynamic performances of ballastless high-speed railways under moving train loads[J].Chinese Journal of Geotechnical Engineering,2014,36(2):354-362.(in Chinese)
[10]金炜枫,周健.列车振动下隧道与土体响应的双尺度耦合模拟[J].岩石力学与工程学报,2011,30(5):1016-1024.JIN Weifeng,ZHAO Jian.Two-scale coupled of tunnel-soil vibrations under train excitation[J].Chinese Journal of Rock Mechanics and Engineering,2011,30(5):1016-1024.(in Chinese)
[11]SITHARAM T G,NIMBKAR M S.Micromechanical modelling of granular materials:effect of particle size and gradation[J].Geotechnical&Geological Engineering,2000,18(2):91-117.
[12]孙其诚,程晓辉,季顺迎,等.岩土类颗粒物质宏-细观力学研究进展[J].力学进展,2011,41(3):351-371.SUN Qicheng,CHENG Xiaohui,JI Shunying,et al.Advances in the micro-macro mechanics of granular soil materials[J].Advances in Mechanics,2011,41(3):351-371.(in Chinese)
[13]WANG Z,RUIKEN A,JACOBS F,et al.A new suggestion for determining 2Dporosities in DEM studies[J].Geomechanics&Engineering,2014,7(6):665-678.
[14]李思超.级配碎石shakedown行为的颗粒流数值模拟[D].西安:长安大学,2013.LI Sichao.Numerical simulation of shakedown behavior of graded broken stone based on particle flow code[D].Xi’an:Chang’an University,2013.(in Chinese)
[15]刘宝,苏谦,PHAM DucPhong,等.不同含水状态级配碎石临界动应力及变形规律研究[J].铁道学报,2016,38(6):100-107.LIU Bao,SU Qian,PHAM D P,et al.Study of critical dynamic stress and deformation law of graded gravel under different moisture content[J].Journal of the China Railway Society,2016,38(6):100-107.(in Chinese)
[16]张徐.高速铁路散粒体道床宏细观力学行为的数值模拟与试验研究[D].成都:西南交通大学,2017.ZHANG Xu.Numerical simulation and experiment study on macro-meso mechanical behaviors of highspeed railway ballast[D].Chengdu:Southwest Jiaotong University,2017.(in Chinese)
[17]屈畅姿,王永和,魏丽敏,等.武广高速铁路路基振动现场测试与分析[J].岩土力学,2012,33(5):1451-1456.QU Changzi,WANG Yonghe,WEI Limin,et al,Insitu test and analysis of vibration of subgrade for Wuhan-Guangzhou high-speed railway[J].Rock and Soil Mechanics,2012,33(5):1451-1456.(in Chinese)
[18]杨涵,徐文杰,张启斌.散体颗粒介质变形局部化宏-细观机制研究[J].岩石力学与工程学报,2015,34(8):1692-1701.YANG Han,XU Wenjie,ZHANG Qibin,Macro-and meso-mechanism of strain localization in granular material[J].Chinese Journal of Rock Mechanics and Engineering,2015,34(8):1692-1701.(in Chinese)