Chinese Journal of Lasers, Volume. 48, Issue 16, 1604004(2021)

Research on the Simulation Model of Rail Profile Measurement System Based on Zemax

Le Wang1,2, Yue Fang1, Shengchun Wang1, Hao Wang1、*, Guoqing Li1, Shengwei Ren1, Peng Dai1, and Qiaofeng Tan3
Author Affiliations
  • 1Infrastructure Inspection Research Institute, China Academy of Railway Sciences Corporation Limited, Beijing, 100081, China
  • 2Graduate Department of China Academy of Railway Sciences, Beijing, 100081, China
  • 3State Key Laboratory of Precision Measurement Technology and Instruments, Tsinghua University, Beijing, 100084, China
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    Figures & Tables(25)
    Geometric model of line structured light perspective projection
    Schematic diagram of rail profile measurement system with line structured light
    Modeling flow chart of rail profile measurement system
    Line laser. (a) Physical picture; (b)--(d) simulation model
    Original lens model in sequence model
    Lens and camera. (a) Physical picture; (b) optical model
    Standard 60 kg/m rail. (a) Main parameters of cross section; (b) optical model
    Line structured light profile measurement component. (a) Main optical structure parameters; (b) optical simulation model of component
    Simulation model of rail profile measurement system
    System calibration module modeling. (a) Calibration target; (b) optical model of calibration target; (c) calibration of camera internal parameters; (d) calibration of laser plane
    Schematic diagram of laser plane calibration
    Flow chart of control program of profile measurement module
    Partial images collected by the simulation model for camera internal parameter calibration. (a) Left camera; (b) right camera
    Images collected by the simulation model for laser plane calibration. (a) Left camera; (b) right camera
    Component accuracy verification experiment. (a) Gauge block model; (b) measuring device of simulation; (c) laser cross section image of gauge block; (d) measurement result of gauge block
    Simulation measurement experiment of rail profile. (a) Model of worn rail; (b) simulation measuring device; (c)(d) image of laser cross section on left and right side of rail; (e) profile measurement result
    Practical measurement experiment of rail profile. (a) Worn rail; (b) experimental device; (c)(d) image of laser cross section on left and right side of rail; (e) profile measurement result
    Measurement results of rail vertical wear based on actual measurement system and simulation model
    Cross section energy distribution of line structured light. (a)(b) Actual situation; (c)(d) simulation model
    Rail strip and rough surface ( Ra=100 μm )
    • Table 1. Main parameters of line laser

      View table

      Table 1. Main parameters of line laser

      Wavelength /nmPower /mWLine width /@350 mmDivergence angle /(°)Fan angle /(°)
      6504980.150.1968
    • Table 2. Main parameters of camera

      View table

      Table 2. Main parameters of camera

      SurfacetypeX halfwidth /mmYwidth /mmX/ pixelY/ pixel
      Detectorrectangle7.6802.4962560832
    • Table 3. Calibration results of system simulation model

      View table

      Table 3. Calibration results of system simulation model

      Parameter nameLeft componentRight component
      Inter cameraparameterf /mm12.1212.09
      k1 /m-21351.761223.18
      k2 /m-4-4.67×1069.00×105
      k3 /m-6-3.76×1011-4.75×1011
      p1 /m-1-0.090.23
      p2 /m-10.1200.003
      sx /m6.01×10-66.02×10-6
      sy /m6.00×10-66.00×10-6
      cx1293.641258.34
      cy420.41407.69
      Width25602560
      Height832832
      Laser planeparametertx /mm2.992.12
      ty /mm1.460.46
      tz /mm0.03-0.05
      rx /(°)270.1490.14
      ry /(°)00
      rz /(°)0.100.13
    • Table 4. Depth measurement error of simulation model of line structured light profile measurement component

      View table

      Table 4. Depth measurement error of simulation model of line structured light profile measurement component

      PositionStartMiddleEnd
      Error /mm0.010.020.04
    • Table 5. Statistical results of rail wear measurement unit: mm

      View table

      Table 5. Statistical results of rail wear measurement unit: mm

      Nominal valueof rail wearActual measurement systemSystem simulation model
      MAERMSEMAERMSE
      11.000.0840.0660.0490.049
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    Le Wang, Yue Fang, Shengchun Wang, Hao Wang, Guoqing Li, Shengwei Ren, Peng Dai, Qiaofeng Tan. Research on the Simulation Model of Rail Profile Measurement System Based on Zemax[J]. Chinese Journal of Lasers, 2021, 48(16): 1604004

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    Paper Information

    Category: measurement and metrology

    Received: Nov. 24, 2020

    Accepted: Dec. 31, 2020

    Published Online: Jul. 22, 2021

    The Author Email: Hao Wang (wanghao1984@rails.cn)

    DOI:10.3788/CJL202148.1604004

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