[1] AALAMI B. Waves in prismatic guides of arbitrary cross section[J]. Journal of Applied Mechanics,1973,40(4):1067-1072. [2] HAYASHI T,SONG W J,ROSE J L. Guided wave dispersion curves for a bar with an arbitrary cross-section,a rod and rail example[J]. Ultrasonics,2004,41(3):175-183. [3] SALE M,RIZZO P,MARZANI A. Semi-analytical formulation for the guided waves-based reconstruction of elastic moduli[J]. Mechanical Systems and Signal Processing,2011,25(6):2241-2256. [4] SETSHEDI I I,LOVEDAY P W,LONG C S,et al. Estimation of rail properties using semi-analytical finite element models and guided wave ultrasound measurements[J]. Ultrasonics,2019,96:240-252 [5] LOVEDAY P W,LONG C S,RAMATLO D A. Mode repulsion of ultrasonic guided waves in rails[J]. Ultrasonics,2018,84(1):341-349. [6] SANDERSON R M. The application of finite element modelling to guided wave testing systems[C]//American Institute of Physics. Non-Destructive Testing and Condition Monitoring,April 9,2003,New York:AIP,2003:359-363 [7] 何存富,刘青青,焦敬品,等. 基于振动模态分析的钢轨中超声导波传播特性数值计算方法[J]. 振动与冲击,2014,33(3):9-13. HE Cunfu,LIU Qingqing,JIAO Jingpin,et al. Propagation characteristics of ultrasonic guided wave in rails based on vibration modal analysis[J]. Journal of Vibration and Shock,2014,33(3):9-13. [8] 王嵘,余祖俊,朱力强,等. 基于导波多模态融合的无缝钢轨温度应力估计算法[J]. 铁道学报,2018,40(6):136-143. WANG Rong,YU Zujun,ZHU Liqiang,et al. Thermal stress estimation algorithm for seamless rail based on guided wave multi-mode fusion[J]. Journal of Railway,2008,40(6):136-143. [9] LOVEDAY P W. Semi-analytical finite element analysis of elastic waveguides subjected to axial loads[J]. Ultrasonics,2009,49(3):298-300. [10] LOVEDAY P W,PAUL D W. Guided wave propagation as a measure of axial loads in rails[J]. Proceedings of SPIE,2010,7650:1-8 [11] BARTOLI I,PHILLIPS R,COCCIA S,et al. Stress dependence of ultrasonic guided waves in rails[J]. Transportation Research Record Journal of the Transportation Research Board,2010,2159(2159):91-97. [12] 王嵘,余祖俊,朱力强,等. 基于弹性波速度的无缝钢轨应力检测方法[J].中国铁道科学,2018,39(2):18-27. WANG Rong,YU Zujun,ZHU Liqiang,et al. Stress detection method of seamless rail based on elastic wave velocity[J].China Railway Science,2018,39(2):18-27. [13] DUAN X,ZHU L,YU Z,et al. Estimating the axial load of in-service continuously welded rail under the influences of rail wear and temperature[J]. IEEE Access,2019(99):1. [14] 卢超,刘芮辰,常俊杰. 钢轨垂直振动模态的导波频散曲线、波结构及应用[J].振动工程学报,2014,27(4):598-604. LU Chao,LIU Ruichen,CHANG Junjie. Guided waves dispersion curves and wave structures of the rail's vertically vibrating modes and their application[J]. Journal of Vibration Engineering,2014,27(4):598-604. [15] 卢超,杨雪娟,戴翔. 钢轨中导波传播模式的半解析有限元分析与试验测量[J]. 机械工程学报,2015,51(6):79-86. LU Chao,YANG Xuejuan,DAI Xiang. Semi-analytical finite element analysis and experimental measurement of guided wave propagation mode in rail[J]. Journal of Mechanical Engineering,2015,51(6):79-86. [16] MUDGE P J. Field application of the teletest long-range ultrasonic testing technique[J]. Insight-Non-Destructive Testing and Condition Monitoring,2001,43(2):74-77. |