• Infrared and Laser Engineering
  • Vol. 50, Issue 6, 20200404 (2021)
Huidong Qu1, Jiali Wei1, Deyi Dong2, Haifei Hu2, and Yingjun Guan1
Author Affiliations
  • 1School of Mechanical and Electrical Engineering, Changchun University Of Technology, Changchun 130012, China
  • 2Changchun Institute of Optics, Fine Mechanics and Physics, Chinese Academy of Sciences, Changchun 130033, China
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    DOI: 10.3788/IRLA20200404 Cite this Article
    Huidong Qu, Jiali Wei, Deyi Dong, Haifei Hu, Yingjun Guan. Lightweight structural design of rectangular space mirror assembly[J]. Infrared and Laser Engineering, 2021, 50(6): 20200404 Copy Citation Text show less
    Light-weighting structure of rectangular mirror
    Fig. 1. Light-weighting structure of rectangular mirror
    Iteration curve of support point position optimization
    Fig. 2. Iteration curve of support point position optimization
    Positions of the support points by optimization
    Fig. 3. Positions of the support points by optimization
    The schematic diagram of key parameters of flexure hinge
    Fig. 4. The schematic diagram of key parameters of flexure hinge
    Curves of influence of t value of flexible hinge on RMS of self-weight surface of mirror
    Fig. 5. Curves of influence of t value of flexible hinge on RMS of self-weight surface of mirror
    Supporting structure constraint depth
    Fig. 6. Supporting structure constraint depth
    Curves of the self-weight surface of the mirror with respect to the support position
    Fig. 7. Curves of the self-weight surface of the mirror with respect to the support position
    Model of mirror assembly
    Fig. 8. Model of mirror assembly
    Finite element model of mirror assembly
    Fig. 9. Finite element model of mirror assembly
    [in Chinese]
    Fig. 10. [in Chinese]
    The first three order mode shapes of mirror assembly
    Fig. 10. The first three order mode shapes of mirror assembly
    Acceleration response curves of sinusoidal vibration
    Fig. 11. Acceleration response curves of sinusoidal vibration
    Vibration test device of mirror assembly
    Fig. 12. Vibration test device of mirror assembly
    Result curves of dynamic test
    Fig. 13. Result curves of dynamic test
    RB-SiCSiBeULEZerodurAlFused silica
    Poisson’s ratio μ0.20.2780.080.170.240.330.17
    Elastic modulus E/GPa 34013128767917872
    Density ρ/g·cm−33.052.331.852.212.532.682.19
    Specific stiffness E/ρ/GN·m·g−1111.5056.22155.1430.3235.9729.1032.88
    Thermal conductivity λ/W·(m·K)−11551562161.311.641671.40
    Thermal expansion coefficient α/10−6·K−12.502.6011.400.030.0523.60.50
    Thermal stability λ/α/106 W·m−1626018.9543.6732.807.082.80
    Integrated quality (E/ρ) · (λ/α) 69133373.22939.401324.071179.76206.0392.06
    Table 1. Performance and quality factors of rational materials for mirror[9]
    t/mm X-direction self-weight RMS/nm X-direction self-weight RMS/nm X-direction self-weight RMS/nm Fundamental frequency/Hz
    213.698.9211.54252.6
    2.513.688.6611.46256.1
    312.438.8110.10259.3
    3.513.638.9611.32262.3
    413.629.0911.47265.0
    Table 2. Influence of flexible hinge t value on mirror assembly
    MaterialDensity ρ / g·cm3Elastic modulus E /GPa Poisson’s ratio μThermal expansion coefficient α/10−6·℃1
    RB-SiC3.053400.22.5
    4J328.11500.282.5
    TC44.441090.348.9
    SiC/Al2.951900.28.1
    Table 3. Material parameters of mirror assembly
    Maximum deformation/μm PV/ nm RMS/ nm
    X-direction 1 g gravity 1.5358.212.3
    Y -direction 1 g gravity 2.8251.510.7
    Z -direction 1 g gravity 3.0655.211.8
    5 ℃ uniform temperature rise9.517.23.9
    Y-direction 1 g gravity + 5 ℃ uniform temperature rise 9.2333.36.8
    Table 4. Analysis results of the self-weight and temperature rise of the mirror assembly
    OrderFrequency/HzMode shapes
    1259Mirror moves in the Z direction
    2311Mirror moves in the Y direction
    3335Mirror rotates around the X axis
    4408Mirror rotates around the Z axis
    5438Mirror rotates around the Y axis
    6484Mirror moves in the X direction
    Table 5. Analysis results of the first six order mode shapes of mirror assembly
    Frequency/HzVibration amplitudeIncentive direction
    5−158.89 mm
    15−708 gX/Y/Z
    70−755.7 g
    75−1005.7 g
    Table 6. Sine vibration excitation conditions
    Huidong Qu, Jiali Wei, Deyi Dong, Haifei Hu, Yingjun Guan. Lightweight structural design of rectangular space mirror assembly[J]. Infrared and Laser Engineering, 2021, 50(6): 20200404
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