Infrared and Laser Engineering, Volume. 50, Issue 12, 20210172(2021)

Tilt error correction of minitype theodolite’s vertical shaft based on angular contact ball bearings

Xiangyu Li1...2, Bo Peng1,2, Bo Jiang1 and Ping Ruan1 |Show fewer author(s)
Author Affiliations
  • 1Xi'an Institute of Optics and Precision Mechanics, Chinese Academy of Sciences, Xi'an 710119, China
  • 2University of Chinese Academy of Sciences, Beijing 100049, China
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    Figures & Tables(25)
    Vertical shaft based on angular contact ball bearings
    Gap design of vertical shaft
    Theoretical pressing force model of single nut bolt
    Pressing model of bearing outer ring
    Boundary conditions and nut bolts' pressing force
    Pressing force of bearing outer ring 轴承外圈压紧力
    Deformed cloud diagram of outer end ring
    Deformed cloud diagram of outer end ring (×10)
    Deformed cloud diagram of bearing outer ring I
    Design optimization flow
    Relation between 关系曲线图
    Relation between 关系曲线图
    Relation between 关系曲线图
    Initial state of rotation center axis
    State of shafting after instability
    Three contact conditions under ideal conditions
    Displacement monitoring of shaft with partial load
    Elimination of bearing clearance under Condition II
    Hoisting under partial load
    • Table 1. Parameters of bearing

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      Table 1. Parameters of bearing

      Radial clearance /mm These load/kNPre-load /N Axial runout /mm Radial runout /mm
      StaticDynamic
      −0.01- −0.0031541225400.0060.006
    • Table 2. Material parameters of 2A12/T4

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      Table 2. Material parameters of 2A12/T4

      Elastic modulus /GPa Ratio of poisson, μDensity /kg·m−3
      680.332770
    • Table 3. Material parameters of 45

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      Table 3. Material parameters of 45

      Elastic modulus /GPa Ratio of poisson, μDensity /kg·m−3
      2090.2697890
    • Table 4. Material parameters of GCr15

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      Table 4. Material parameters of GCr15

      Elastic modulus /GPa Ratio of poisson, μDensity /kg·m−3
      2190.37830
    • Table 5. Displacement of monitoring points with different conditions (Unit: mm)

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      Table 5. Displacement of monitoring points with different conditions (Unit: mm)

      Condition ICondition IICondition III
      LoadUnloadLoadUnloadLoadUnload
      0.050.0250.02500.030.002
    • Table 6. Biaxial perpendicularity error(Unit: (″))

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      Table 6. Biaxial perpendicularity error(Unit: (″))

      Condition ICondition IICondition III
      Test 1Test 2Test 1Test 2Test 1Test 2
      −19−20.5+2.7+1.9+4.8+6.1
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    Xiangyu Li, Bo Peng, Bo Jiang, Ping Ruan. Tilt error correction of minitype theodolite’s vertical shaft based on angular contact ball bearings[J]. Infrared and Laser Engineering, 2021, 50(12): 20210172

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    Paper Information

    Category: Photoelectric measurement

    Received: Mar. 16, 2021

    Accepted: --

    Published Online: Feb. 9, 2022

    The Author Email:

    DOI:10.3788/IRLA20210172

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