Laser & Optoelectronics Progress, Volume. 61, Issue 5, 0522003(2024)

Design of a High-Precision Repeatable Secondary Mirror Deployment Mechanism for Space Cameras

Junwei Song1,2,3, Xiaoping Tao1, Minglin Xu1,3, and Xun Wang1,3、*
Author Affiliations
  • 1Changchun Institute of Optics, Fine Mechanics and Physics, Chinese Academy of Sciences, Changchun 130033, Jilin , China
  • 2University of Chinese Academy of Sciences, Beijing 100049, China
  • 3Key Laboratory of Space-based Dynamic & Rapid Optical Imaging Technology, Changchun 130033, Jilin , China
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    Figures & Tables(23)
    Optical system optical path diagram
    The distribution of the components
    Geometric diagram
    Secondary mirror deployment mechanism model
    Calculation diagram of micro-displacement synthesis method
    The equivalent model diagrams of the deployed mechanism. (a) Folded state; (b) intermediate state; (c) unfolded state
    Finite element model of the secondary unfolded mechanism
    Deformation-frequency curve along each axis under X-oriented acceleration
    Deformation-frequency curve along each axis under Y-oriented acceleration
    Deformation-frequency curve along each axis under Z-oriented acceleration
    Mockup unfolded state
    Mockup collapsed state
    Locking device
    Repeat precision experiments
    Line plot of the experimental data
    • Table 1. Optical system parameters

      View table

      Table 1. Optical system parameters

      IndexValue
      Focal length /mm3500
      Spectral range /nm450‒900
      Field of view /(°×°)1.68×0.1
      Cell size /μm3.5
      Primary mirror calibre /mm520.80
      Secondary mirror calibre /mm112.71
      Distance between primary and secondary mirror /mm602.73
      Total length of optical system /mm784.59
    • Table 2. Secondary mirror tolerance allocation results

      View table

      Table 2. Secondary mirror tolerance allocation results

      ToleranceX-axis displacement /μmY-axis displacement /μmZ-axis displacement /μmX-axis rotation /(″)Y-axis rotation /(″)Z-axis rotation /(″)
      Value2020202020″20″
    • Table 3. Material parameter

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      Table 3. Material parameter

      ParameterTitanium alloyCarbon fiber
      Density /(g·cm-34.431.56
      Elastic modulus /GPa110140
      Micro yield stress /MPa482138
      Linear expansivity /(10-6·K-18.80.3
      Thermal conductivity /(W·m-1·K-17.235
    • Table 4. Theoretical error of secondary mirror deployment mechanism

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      Table 4. Theoretical error of secondary mirror deployment mechanism

      IndexX-axis displacement /μmY-axis displacement /μmZ-axis displacement /μmX-axis rotation /(″)Y-axis rotation /(″)Z-axis rotation /(″)
      Value5.8210.6 μm2.78 μm4.042.722.72
    • Table 5. Ultrasound motor parameters

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      Table 5. Ultrasound motor parameters

      ParameterAcrot orque /(N·m)Self-lock torque /(N·m)Range of speeds of rotation /(r/min)
      Value1.61.24‒150
    • Table 6. The first six natural frequencies and mode shapes

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      Table 6. The first six natural frequencies and mode shapes

      OrderFrequency /HzMode shape
      196.64Twist around the X-axis
      2111.68Twist around the Z-axis
      3156.87Translate along the Y-axis
      4188.53Twist around the Z-axis
      5242.59Twist around the Z-axis
      6659.03Twist around the X-axis
    • Table 7. Acceleration in each frequency band17

      View table

      Table 7. Acceleration in each frequency band17

      Frequency band /Hz0‒7070‒100100‒120
      Amplitude of acceleration0.005g0.004g0.007g
    • Table 8. The amount of change in each degree of freedom

      View table

      Table 8. The amount of change in each degree of freedom

      Serial numberΔX /μmΔY /μmΔZ /μmΔα /(″)Δβ /(″)Δγ /(″)
      1-13.5032.0013.600.72-10.809.36
      2-17.70-3.6010.20-20.2427.72-4.68
      3-21.3023.00-0.10-0.72-4.32-1.80
      417.30-21.40-3.2023.12-11.16-34.20
      514.9024.5011.1011.16-13.327.92
      6-12.8020.109.40-16.927.929.00
      720.7019.70-13.8027.00-9.36-20.52
      8-11.9014.5012.3022.68-25.565.76
      912.10-10.707.40-1.8014.043.96
      10-19.2016.9010.9034.56-30.24-24.84
      E-3.1411.505.787.96-5.51-5.00
      δlim±15.37±15.61±7.90±16.89±15.94±14.28
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    Junwei Song, Xiaoping Tao, Minglin Xu, Xun Wang. Design of a High-Precision Repeatable Secondary Mirror Deployment Mechanism for Space Cameras[J]. Laser & Optoelectronics Progress, 2024, 61(5): 0522003

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    Paper Information

    Category: Optical Design and Fabrication

    Received: Apr. 14, 2023

    Accepted: May. 9, 2023

    Published Online: Mar. 5, 2024

    The Author Email: Xun Wang (wangxun7789@163.com)

    DOI:10.3788/LOP231083

    CSTR:32186.14.LOP231083

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