Optics and Precision Engineering, Volume. 31, Issue 2, 214(2023)

Automatic calibration and error compensation for micro magnetic parts assembly equipment

Tongqun REN... Haichuan JIANG, Jiankun ZHANG, Mengjie GUO and Xiaodong WANG* |Show fewer author(s)
Author Affiliations
  • School of Mechanical Engineering, Dalian University of Technology, Dalian116085, China
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    Figures & Tables(17)
    Micro magnetic parts assembly equipment
    Schematic diagram of coordinate system and error angle
    Error angle calibration in X direction
    Error angle calibration in Z direction
    Collection point location in assembly area
    Calibration device structure diagram
    Calibration process
    Calibration experiment
    Comparison of validation data before and after PSO
    • Table 1. Calibration parameters of equipment

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      Table 1. Calibration parameters of equipment

      标定参数名称标号
      1图像坐标系UV两个方向的像素值PxPy
      2图像坐标系U轴与世界坐标系Xw轴夹角αU_Xw
      3装配作业坐标系Xa轴与世界坐标系Xw轴夹角αXa_Xw
      4装配作业模块Ya导轨与对应Ya轴夹角βYa0_Ya
      5装配作业模块Za导轨与视觉模块Zv0导轨夹角γZa0_Zv0
      6Z导轨同时运动引起的误差方向与Xa轴夹角γZ0_Xa
      7组装工作台坐标系Xt轴与世界坐标系Xw轴夹角αXt_Xw
      8组装工作台模块Yt0导轨与对应Yt轴夹角βYt0_Yt
    • Table 2. Calibration plate test result

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      Table 2. Calibration plate test result

      项目线缝精度
      设计值测量值偏差
      500.00499.84-0.16
      500.00499.68-0.32
      500.00499.45-0.55
      500.00499.78-0.22
      500.00499.67-0.33
      500.00499.76-0.24
      500.00499.58-0.42
      500.00499.62-0.38
      500.00499.75-0.25
      500.00499.74-0.26
    • Table 3. Calibration results

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      Table 3. Calibration results

      参数数据
      Px2.415 3 μm/pixel
      Py2.413 4 μm/pixel
      αU_Xw0.153°
      αXt_Xw-0.038°
      βYt0_Yt0.025°
      αXa_Xw-0.080°
      βYa0_Ya-0.342°
      γZa0_Zv00.273°
      γZ0_Xa10.131°
    • Table 4. Population comparison experiment of PSO

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      Table 4. Population comparison experiment of PSO

      种群数量时间/ms平均误差/μm
      20061 956.6145.078 55
      400120 781.5895.061 25
      600181 130.3635.073 12
      800239 724.6365.084 72
      1 000299 451.1505.041 21
    • Table 5. Learning factor comparison experiment of PSO

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      Table 5. Learning factor comparison experiment of PSO

      学习因子达到判定条件时的迭代次数时间/ms平均误差/μm
      c1=2,c2=027319 569.6105.069 55
      c1=0,c2=220300 263.4585.084 90
      c1=1.5,c2=1.523304 224.6675.137 03
      c1=2,c2=218299 451.1505.041 21
    • Table 6. Calibration results after PSO

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      Table 6. Calibration results after PSO

      参数数据
      Px2.415 3 μm/pixel
      Py2.413 4 μm/pixel
      αU_Xw0.151°
      αXa_Xw-0.067°
      βYa0_Ya-0.345°
      γZa0_Zv00.306°
      γZ0_Xa10.132°
    • Table 7. Comparison of errors before and after PSO

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      Table 7. Comparison of errors before and after PSO

      路径未优化/μm优化后/μm
      10 000,2 000,0均值4.464.95
      极值5.586.00
      10 000,0,8 000均值7.773.24
      极值9.364.87
      0,2 000,8 000均值2.842.30
      极值3.262.63
      10 000,2 000,8 000均值6.082.95
      极值8.894.36
    • Table 8. Assembly experiment

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      Table 8. Assembly experiment

      次数1234
      装配精度/μm6.2962.66612.4435.491
      次数5678
      装配精度/μm4.81711.2068.0283.158
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    Tongqun REN, Haichuan JIANG, Jiankun ZHANG, Mengjie GUO, Xiaodong WANG. Automatic calibration and error compensation for micro magnetic parts assembly equipment[J]. Optics and Precision Engineering, 2023, 31(2): 214

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    Paper Information

    Category: Micro/Nano Technology and Fine Mechanics

    Received: Apr. 27, 2022

    Accepted: --

    Published Online: Feb. 9, 2023

    The Author Email: WANG Xiaodong (xdwang@dlut.edu.cn)

    DOI:10.37188/OPE.20233102.0214

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