倾斜界面耦合弹性层中的渡越辐射能

陕耀; 苏瓅; 周顺华

doi:10.6052/0459-1879-19-246

倾斜界面耦合弹性层中的渡越辐射能

陕耀^*†2), ,,
苏瓅^*†**,
周顺华^*†

^* 上海市轨道交通结构耐久与系统安全重点实验室,上海 201804
^? 道路与交通工程教育部重点实验室,同济大学,上海 201804
^** 上海勘察设计研究院(集团)有限公司,上海 200093

基金项目: 1) 国家自然科学基金青年科学基金资助项目(51708424)

详细信息

通讯作者:
陕耀

中图分类号: O343.1
计量
- 文章访问数: 1367
- HTML全文浏览量: 226
- PDF下载量: 87
出版历程
- 收稿日期: 2019-09-01
- 刊出日期: 2020-02-09

TRANSITION RADIATION IN ELASTIC MEDIUMS COUPLED BY AN INCLINED INTERFACE

Yao Shan^*†2), ,,
Li Su^*†**,
Shunhua Zhou^*†

^* Shanghai Key Laboratory of Rail Infrastructure Durability and System Safety,Shanghai 201804, China
^? Key Laboratory of Road and Traffic Engineering of the Ministry of Education,Tongji University,Shanghai 201804, China
^** SGIDI Engineering Consulting(Group) Co.Ltd,Shanghai 200093, China

摘要

摘要: 物理学中,摄动源在非均匀介质中或非均匀介质附近匀速直线运动所产生的能量辐射现象称为渡越辐射.列车沿轨道运行,由轮轨接触产生的弹性波在非均匀轨道和基础中传播将发生渡越辐射,而轨道和基础的非均匀性集中体现在不同轨道基础之间的过渡段(如路桥过渡段、桥隧过渡段或有砟-无砟轨道过渡段).为研究车致弹性波在过渡段中引发的渡越辐射现象,本文以典型高速铁路路桥过渡段结构形式为依据,建立了二维平面应力渡越辐射能计算模型.其中,两个材料参数不同的半无限弹性层由一倾斜界面耦合,底端固定,上表面自由,一个集中载荷在自由表面上匀速运动.界面两侧弹性体中的波动方程均分解为本征场、自由场两个部分分别求解,其中自由场波动方程采用分离变量法数值求解.通过模型求解得到了不同载荷移动速度和界面倾斜角度条件下的渡越辐射能及界面附近应变能密度.结果表明,渡越辐射能的大小随载荷移动速度增大单调非线性增大,移动载荷速度达到刚度较大一侧介质表面波速的74%时产生的渡越辐射能就将超过载荷本身激发的本征场应变能;界面倾斜角度越大,即两侧介质刚度过渡距离越短,渡越辐射能与本征场应变能比值越大.
- 高速铁路 /
- 过渡段 /
- 渡越辐射 /
- 波数 /
- 能流
Abstract: The energy radiation phenomenon that is excited when a perturbation source moves along a straight line with a constant velocity in or near an inhomogeneous medium is referred as transition radiation. As a common physical phenomenon, transition radiation is emitted when train induced elastic waves propagate in non-uniform rail infrastructures, which are the inhomogeneous medium. Such non-uniformities of infrastructures are mainly concentrated in transition zones between different track structures, namely between bridge and subgrade, tunnel and bridge or ballast track and ballastless track. In this paper, a two-dimensional plane-stress model is established based on the common configuration of high-speed railway transition zone to investigate the transition radiation of the train-induced elastic wave in transition zones. Two semi-infinite elastic layers with different physical properties are coupled by an inclined interface. The bottom of each layer is fixed and the surface is free. A constant load moves on the free surface with a constant velocity passing through the inclined interface between two layers. The elastic wave field is solved separately in an eigenfield and a free field, respectively. The free field is solved by employing the method of separation of variables. The transition radiation energy flux and the energy flux near the interface are calculated separately with different combinations of load moving velocities and interface inclined angles to analyze the influence of these two factors on the transmission of transition radiation. Results show that the total transition radiation energy increases monotonically and non-linearly with the increase of load moving velocity and interface inclined angle. The transition radiation energy even exceeds the strain energy in the eigenfield when the load velocity reaches 74% of the Rayleigh wave velocity in this case. A larger interface inclined angle (i.e. a shorter transition zone) leads to a larger ratio of the transition radiation energy to eigenfield strain energy.
- high-speed railway /
- transition zone /
- transition radiation /
- wave number /
- energy flux

HTML全文

参考文献(1)

[1]	Ginzburg VL, Frank IM . Radiation of a uniformly moving electron due to its transition from one medium into another. Journal of Physics, 1945,9:353-362
[2]	Ginzburg VL . Transition radiation and transition scattering. Physica Scripta, 1982,T2A:182-191
[3]	Frank IM . Reviews of topical problems: Transition radiation and optical properties of matter. Soviet Physics Uspekhi, 1966,8(5):729-742
[4]	Burtyka MV, Yakovenko VM . Transition radiation of surface acoustic waves in piezocrystals. Solid State Communications, 1978,25(8):591-592
[5]	Vesnitskii AI, Metrikin AV . Transition radiation in mechanics. Uspekhi Fizicheskikh Nauk, 1996,166(10):1043-1068
[6]	盛昌建 . 电子注激励石墨烯表面等离子体波产生渡越辐射的研究. [硕士论文]. 成都:电子科技大学, 2018
[6]	( Sheng Changjian . Electron-injection stimulated graphene surface plasmon wave to generate the transition radiation. [Master Thesis]. Chengdu: University of electronic science and technology of China, 2018 (in Chinese))
[7]	边宇 . 基于相干渡越辐射的亚皮秒级电子束长测量研究. [博士论文]. 上海:中国科学院大学(中国科学院上海应用物理研究所), 2017
[7]	( Bian Yu . Sub-picosecond electron bunch length measurements using coherent transition radiation at SXFEL. [PhD Thesis]. Shanghai: University of Chinese Academy of Science (Shanghai Institute of Applied Physics), 2017 (in Chinese))
[8]	边宇, 张文艳, 刘波等. 基于相干渡越辐射的束团长度测量研究. 核技术, 2017,40(1):10-15
[8]	( Bian Yu, Zhang Wenyan, Liu Bo , et al. Measurement study of electron bunch length based on the coherent transition radiation. Nuclear Techniques, 2017,40(1):10-15 (in Chinese))
[9]	王毅, 李勤, 代志勇 . 光学渡越辐射电子束发散角二维拟合数值分析. 强激光与粒子束, 2017,29(8):136-140
[9]	( Wang Yi, Li Qin, Dai Zhiyong . Numerical analysis of two-dimensional fitting of the electron beam divergence angle in optical transition radiation. High Power Laser and Particle Beams, 2017,29(8):136-140 (in Chinese))
[10]	李泉凤, 张云凯, 杜泰斌 . 低能段的光学渡越辐射. 清华大学学报(自然科学版), 1999(10):69-73
[10]	( Li Quanfeng, Zhang Yunkai, Du Taibin . Optical transition radiation in low energy region. Journal of Tsinghua University(Science and Technology), 1999(10):69-73 (in Chinese))
[11]	杨国君, 刘承俊, 林郁正等. 利用光学渡越辐射进行强流束诊断. 强激光与粒子束, 2004(9):1215-1218
[11]	( Yang Guojun, Liu Chengjun, Lin Yuzheng , et al. Research of optical transition radiation on intense electron-beam diagnostics. High Power Laser and Particle Beams, 2004(9):1215-1218 (in Chinese))
[12]	杨国君, 张卓, 陈思富等. 渡越辐射在强流电子束诊断中的应用. 高能物理与核物理, 2005(3):305-311
[12]	( Yang Guojun, Zhang Zhou, Chen Sifu . Research of transition radiation on intense electron beam diagnostics. High Energy Physics and Nuclear Physics, 2005(3):305-311 (in Chinese))
[13]	Vesnitskii AI, Metrikin AV . Transition radiation in one-dimensional elastic systems. Journal of Applied Mechanics & Technical Physics, 1992,33(2):202-207
[14]	von Dalen KN, Metrikine A V . Transition radiation of elastic waves at the interface of two elastic half-planes. Journal of Sound and Vibration, 2008,310(3):702-717
[15]	von Dalen KN, Tsouvalas A, Metrikine AV , et al. Transition radiation excited by a surface load that moves over the interface of two elastic layers. International Journal of Solids and Structures, 2015,73- 74:99-112
[16]	律文田, 王永和 . 秦沈客运专线路桥过渡段路基动应力测试分析. 岩石力学与工程学报, 2004,23(3):500-504
[16]	( Lu wentian, Wang yonghe . Dynamic stress analysis of subgrade-bridge transition section of qinshen railway. Chinese Journal of Rock Mechanics and Engineering, 2004,23(3):500-504 (in Chinese))
[17]	陈虎 . 高速铁路无砟轨道路堤地基差异沉降传递规律及过渡段动力学试验研究. [博士论文]. 成都:西南交通大学, 2013
[17]	( Chen Hu . Study on transfer behavior of embankment foundation differential settlement and bridge/approach location dynamic experiment of high-speed railway. [PhD Thesis]. Chengdu: Southwest Jiaotong University, 2013 (in Chinese))
[18]	马伟斌, 韩自力, 朱忠林 . 高速铁路路桥过渡段振动特性试验研究. 岩土工程学报, 2009,31(1):124-128
[18]	( Ma Weibin, Han Zili, Zhu Zhonglin . Vibration characteristics of high speed railway's bridge-subgrade transition section. Chinese Journal of Geotechnical Engineering, 2009,31(1):124-128 (in Chinese))
[19]	屈畅姿 . 高速铁路相邻过渡段路基动响应及长期动力稳定性研究. [博士论文]. 长沙:中南大学, 2013
[19]	( Qu Changzi . Dynamic response and long-term dynamic stability of closely spaced transition sections subgrade for high-speed railway. [PhD Thesis]. Changsha: Zhongnan University, 2013 (in Chinese))
[20]	Coelho B, H?lscher P, Priest J , et al. An assessment of transition zone performance. Proceedings of the Institution of Mechanical Engineers, Part F: Journal of Rail and Rapid Transit, 2011,225(2):129-139
[21]	Connolly DP, Kouroussis G, Woodward PK , et al. Field testing and analysis of high speed rail vibrations. Soil Dynamics and Earthquake Engineering, 2014,67:102-118
[22]	Mottahed J, Zakeri JA, Mohammadzadeh S . A field investigation on the effects of using USPs in transition zone from ballasted track to bridges. International Journal of Civil Engineering, 2019,17(9A):1421-1431
[23]	翟婉明 . 车辆-轨道耦合动力学(第四版). 北京: 科学出版社, 2015
[23]	( Zhai Wanming . Vehicle-Track Coupled Dynamics (Fourth Edition). Beijing: Science Press, 2015 (in Chinese))
[24]	罗强 . 高速铁路路桥过渡段动力学特性分析及工程试验研究. [博士论文]. 成都:西南交通大学, 2003
[24]	( Luo Qiang . Dynamic performance analyses and experiment study on bridge/approach embankment of high-speed railway. [PhD Thesis]. Chengdu: Southwest Jiaotong University, 2003 (in Chinese))
[25]	Lei X, Mao L . Dynamic response analyses of vehicle and track coupled system on track transition of conventional high speed railway. Journal of Sound and Vibration, 2004,271:1133-1146
[26]	Varandas JN, H?lscher P, Silva MAG . Dynamic behavior of railway tracks on transitions zones. Computers and Structures, 2011,89:1468-1479
[27]	Shan Y, Albers B, Zhou SH , et al. Investigation on the sensitive and insensitive zones of the rail support stiffness for the dynamic response of a vehicle system under low excitation frequencies. Vehicle System Dynamics, 2017,55(1):23-40
[28]	Sheng X, Jones CJC, Petyt M . Ground vibration generated by a load moving along a railway track. Journal of Sound and Vibration, 1999,228(1):129-156
[29]	Wilk ST . Mitigation of differential movements at railroad bridge transition zones. [PhD Thesis]. Illinois: University of Illinois at Urbana-Champaign, 2017
[30]	Shan Y, Albers B, Savidis SA . Influence of different transition zones on the dynamic response of track-subgrade systems. Computers and Geotechnics, 2013,48:21-28
[31]	Varandas JN, H?lscher P, Silva G . Three-dimensional track-ballast interaction model for the study of a culvert transition. Soil Dynamics and Earthquake Engineering, 2016,89:116-127
[32]	Hu P, Zhang CS, Wen S , et al. Dynamic responses of high-speed railway transition zone with various subgrade fillings. Computers and Geotechnics, 2019,108:17-26
[33]	Steenbergen, Michael JMM . Physics of railroad degradation: The role of a varying dynamic stiffness and transition radiation processes. Computers and Structures, 2013,124:102-111
[34]	律文田, 王永和 . 秦沈客运专线路桥过渡段路基动应力测试分析. 岩石力学与工程学报, 2004,23(3):500-504
[34]	( Lu wentian, Wang yonghe . Dynamic stress analysis of subgrade-bridge transition section of qinshen railway. Chinese Journal of Rock Mechanics and Engineering, 2004,23(3):500-504 (in Chinese))
[35]	马文涛 . 二维弹性力学问题的光滑无网格伽辽金法. 力学学报, 2018,50(5):1115-1124
[35]	( Ma Wentao . A smoothed meshfree Galekin method for 2D elasticity problem. Chinese Journal of Theoretical and Applied Mechanics, 2018,50(5):1115-1124 (in Chinese))
[36]	侯淑娟, 梁慧妍, 汪全中等. 基于迭代法的非线性弹性均质化研究. 力学学报, 2018,50(4):837-846
[36]	( Hou Shujuan, Liang Huiyan, Wang Quanzhong , et al. Study on nonlinear elastic homogenization with iterative method. Chinese Journal of Theoretical and Applied Mechanics, 2018,50(4):837-846 (in Chinese))
[37]	李伟华, 夏佩林, 张奎等. 成层饱和介质平面波斜入射问题的一维化时域方法. 力学学报, 2018,50(2):349-361
[37]	( Li Weihua, Xia Peilin, Zhang Kui , et al. One-dimensional time-domain method for free field in layered saturated poroelastic media by plane wave oblique incidence. Chinese Journal of Theoretical and Applied Mechanics, 2018,50(2):349-361 (in Chinese))