Optics and Precision Engineering, Volume. 32, Issue 6, 792(2024)

Parameter-free parallel fast measurement of fine-pitch spur gears

Yiming FANG and Zhaoyao SHI*
Author Affiliations
  • Beijing Engineering Research Center of Precision Measurement Technology and Instruments, Beijing University of Technology, Beijing100124, China
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    Figures & Tables(23)
    Segmentation results of multi-objective gear images
    Gear subpixel edge fitting based on Facet surface model
    Circular fitting of gear center hole profile
    Three situations of intersection between circle and profile
    Divide the profile into tooth tips, tooth profiles, and tooth roots
    Calculate the number of teeth based on the intersection of tooth profile and indexing circle
    Calculating the number of teeth based on sine fitting method
    Measurement of average tooth thickness
    Calculation of some basic dimensions of gears in images
    Measurement of base tangent length in gear images
    Gear tooth shapes with different modification coefficients
    Calculation of tooth profile deviation
    Measurement of gear geometric error
    Facet algorithm positioning accuracy experiment
    Experimental condition
    Tooth profile deviation (four teeth, GVMS)
    Tooth profile deviation (four teeth, P26)
    • Table 1. GVMS parameters

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      Table 1. GVMS parameters

      GVMS工业相机工业镜头光源标定结果
      参数

      CMOS,黑白,GigE接口,

      像素为5 472×3 648,1英寸靶面

      倍率0.31,光学畸变<0.006%

      LED面光源

      (红光)

      7.71 μm/pixel
    • Table 2. Nominal parameters of three gears to be tested

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      Table 2. Nominal parameters of three gears to be tested

      参数齿轮A齿轮B齿轮C
      齿轮类型注塑注塑粉末冶金
      齿数222117
      模数/mm1.00.80.5
      压力角/(°)202020
      齿顶圆直径/mm24.0018.409.65
      齿根圆直径/mm19.5014.807.40
      中孔直径/mm4.804.003.00
      全齿高/mm2.251.801.125
      齿宽/mm8.003.505.50
      变位系数00+0.15
      公法线长度/mm7.6886.1402.384
    • Table 3. Comparative experimental results of gear parameter measurement

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      Table 3. Comparative experimental results of gear parameter measurement

      测量齿轮齿轮A齿轮B齿轮C
      测量方法GVMSP26误差GVMSP26误差GVMSP26误差
      齿数222202121017170
      模数/mm1.01.00.00.80.80.00.50.50
      压力角/°202002020020200
      齿顶圆直径/mm23.99523.9910.00418.39818.3940.0049.6549.6520.002
      齿根圆直径/mm19.49819.501-0.00314.79714.7960.0017.3927.4000.008
      中孔直径/mm4.8004.8000.0004.0004.0000.0003.0013.0000.001
      全齿高/mm2.2492.241-0.0081.8011.7990.0021.1311.1260.005
      齿宽/mm8.0028.006-0.0043.4993.502-0.0035.5065.5010.005
      变位系数0.000.000.000.000.000.00+0.11+0.150.04
      公法线变动量/mm0.0350.042-0.0070.0300.038-0.0080.0190.0160.003
      同心度/μm8.54.34.27.94.23.77.64.63.0
      中孔圆度0.9030.9110.0080.8960.9090.0130.9110.9200.009
      中孔径跳/μm3.53.20.34.82.91.94.62.52.1
    • Table 4. Comparison of total profile deviation

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      Table 4. Comparison of total profile deviation

      测量参数

      齿廓

      序号

      齿面

      左/右

      GVMSP26误差
      Fα/μm14.93.51.4
      1.43.4-2.0
      66.25.70.5
      2.87.3-4.5
      104.64.50.1
      2.16.4-4.3
      142.73.5-0.8
      5.51.24.3
    • Table 5. Comparison of profile form deviation

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      Table 5. Comparison of profile form deviation

      测量项目齿序齿面GVMSP26差值
      ffα/μm1左齿面2.51.51.0
      右齿面2.31.50.8
      6左齿面3.11.21.9
      右齿面1.50.90.6
      10左齿面2.21.11.1
      右齿面0.91.2-0.3
      14左齿面3.41.71.7
      右齿面1.31.20.1
    • Table 6. Comparison of profile slope deviation

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      Table 6. Comparison of profile slope deviation

      测量项目齿序齿面GVMSP26差值
      fHα/μm1左齿面-0.3-3.12.8
      右齿面-2.2-3.61.4
      6左齿面3.8-5.82.0
      右齿面-3.4-7.63.2
      10左齿面-1.2-3.92.7
      右齿面-2.1-6.03.9
      14左齿面-3.2-2.1-1.1
      右齿面2.5-0.42.9
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    Yiming FANG, Zhaoyao SHI. Parameter-free parallel fast measurement of fine-pitch spur gears[J]. Optics and Precision Engineering, 2024, 32(6): 792

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    Paper Information

    Category:

    Received: Sep. 11, 2023

    Accepted: --

    Published Online: Apr. 19, 2024

    The Author Email:

    DOI:10.37188/OPE.20243206.0792

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