• Laser & Optoelectronics Progress
  • Vol. 61, Issue 5, 0522003 (2024)
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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    DOI: 10.3788/LOP231083 Cite this Article Set citation alerts
    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 Copy Citation Text show less
    Optical system optical path diagram
    Fig. 1. Optical system optical path diagram
    The distribution of the components
    Fig. 2. The distribution of the components
    Geometric diagram
    Fig. 3. Geometric diagram
    Secondary mirror deployment mechanism model
    Fig. 4. Secondary mirror deployment mechanism model
    Calculation diagram of micro-displacement synthesis method
    Fig. 5. Calculation diagram of micro-displacement synthesis method
    The equivalent model diagrams of the deployed mechanism. (a) Folded state; (b) intermediate state; (c) unfolded state
    Fig. 6. 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
    Fig. 7. Finite element model of the secondary unfolded mechanism
    Deformation-frequency curve along each axis under X-oriented acceleration
    Fig. 8. Deformation-frequency curve along each axis under X-oriented acceleration
    Deformation-frequency curve along each axis under Y-oriented acceleration
    Fig. 9. Deformation-frequency curve along each axis under Y-oriented acceleration
    Deformation-frequency curve along each axis under Z-oriented acceleration
    Fig. 10. Deformation-frequency curve along each axis under Z-oriented acceleration
    Mockup unfolded state
    Fig. 11. Mockup unfolded state
    Mockup collapsed state
    Fig. 12. Mockup collapsed state
    Locking device
    Fig. 13. Locking device
    Repeat precision experiments
    Fig. 14. Repeat precision experiments
    Line plot of the experimental data
    Fig. 15. Line plot of the experimental data
    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 1. Optical system parameters
    ToleranceX-axis displacement /μmY-axis displacement /μmZ-axis displacement /μmX-axis rotation /(″)Y-axis rotation /(″)Z-axis rotation /(″)
    Value2020202020″20″
    Table 2. Secondary mirror tolerance allocation results
    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 3. Material parameter
    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 4. Theoretical error of secondary mirror deployment mechanism
    ParameterAcrot orque /(N·m)Self-lock torque /(N·m)Range of speeds of rotation /(r/min)
    Value1.61.24‒150
    Table 5. Ultrasound motor parameters
    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 6. The first six natural frequencies and mode shapes
    Frequency band /Hz0‒7070‒100100‒120
    Amplitude of acceleration0.005g0.004g0.007g
    Table 7. Acceleration in each frequency band17
    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
    Table 8. The amount of change in each degree of freedom
    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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