• Acta Optica Sinica
  • Vol. 40, Issue 19, 1923002 (2020)
Yang Hu1、*, Ji Li1、2, and Xuezhi Jia1、2
Author Affiliations
  • 1Chang Guang Satellite Technology Co., LTD., Changchun, Jilin 130102, China
  • 2Changchun Institute of Optics, Fine Mechanics and Physics, Chinese Academy of Sciences, Changchun, Jilin 130033, China
  • show less
    DOI: 10.3788/AOS202040.1923002 Cite this Article Set citation alerts
    Yang Hu, Ji Li, Xuezhi Jia. Optimal Design of Lightweight Off-Axis Mirror and Flexible Support[J]. Acta Optica Sinica, 2020, 40(19): 1923002 Copy Citation Text show less
    Schematic of optical system
    Fig. 1. Schematic of optical system
    Component structures of original mirror
    Fig. 2. Component structures of original mirror
    Surface shape solving process based on DRESP2
    Fig. 3. Surface shape solving process based on DRESP2
    Iterative convergence curve and optimization result. (a) Iterative convergence curve; (b) SIMP topology optimization result
    Fig. 4. Iterative convergence curve and optimization result. (a) Iterative convergence curve; (b) SIMP topology optimization result
    Structural parameters of mirror assembly. (a) Vertical view of mirror; (b) section view of mirror; (c) vertical view of athermal cone
    Fig. 5. Structural parameters of mirror assembly. (a) Vertical view of mirror; (b) section view of mirror; (c) vertical view of athermal cone
    Flow chart of integrated optimization platform processing
    Fig. 6. Flow chart of integrated optimization platform processing
    Iterative curves after optimization in different situations. (a) RMS values of surface shape at +4 ℃; (b) RMS values of gravity surface in x direction; (c) mass of reflector component; (d) eccentricity of x-gravity condition; (e) eccentricity of y-gravity condition; (f) eccentricity of z-gravity condition; (g) x-tilt of gravity condition; (h) y-tilt of gravity condition
    Fig. 7. Iterative curves after optimization in different situations. (a) RMS values of surface shape at +4 ℃; (b) RMS values of gravity surface in x direction; (c) mass of reflector component; (d) eccentricity of x-gravity condition; (e) eccentricity of y-gravity condition; (f) eccentricity of z-gravity condition; (g) x-tilt of gravity condition; (h) y-tilt of gravity condition
    Surface shape analysis results under different conditions. (a) x-gravity condition; (b) 4 ℃ temperature rise
    Fig. 8. Surface shape analysis results under different conditions. (a) x-gravity condition; (b) 4 ℃ temperature rise
    Camera mechanical vibration test platform
    Fig. 9. Camera mechanical vibration test platform
    Sine frequency sweep test data. (a) x-direction sine sweep; (b) y-direction sine sweep; (c) z-direction sine sweep
    Fig. 10. Sine frequency sweep test data. (a) x-direction sine sweep; (b) y-direction sine sweep; (c) z-direction sine sweep
    Surface interference detection site
    Fig. 11. Surface interference detection site
    Test results of mirror before and after test. (a) Before test; (b) after test
    Fig. 12. Test results of mirror before and after test. (a) Before test; (b) after test
    MaterialDensity /(g·cm-3)Young's modulus /GPaSpecific stiffnessThermal expansion coefficient /(10-6 ℃)Poisson's ratio
    Zerodur2.539136.00.050.24
    SiC3.05310101.62.500.14
    Invar8.1014117.40.05--7.000.25
    TC44.4410924.59.100.34
    SiC/Al3.0018060.08.100.18
    Table 1. Performance indicators of common space camera materials
    VariableValue rangeInitial valueOptimization
    Tback /mm[22.0,28.0]24.025.2
    Trib1 /mm[3.0,5.0]4.04.6
    Trib2 /mm[3.0,6.0]5.04.1
    Trib3 /mm[3.0,6.0]5.05.4
    Trib4 /mm[3.0,6.0]5.04.5
    Tc /mm[0.5,2.0]1.01.6
    D1 /mm[115.0,125.0]120.0118.3
    D2 /mm[205.0,210.0]205.03.0
    D3 /mm[208.0,215.0]210.03.0
    D4 /mm[55.0,80.0]76.064.2
    D5 /mm[45.0,75.0]66.052.8
    Dcone /mm[70.0,100.0]90.075.5
    θ1 /(°)[30,60]40.046.5
    θ2 /(°)[0,30]10.08.5
    θ3 /(°)[5,20]5.09.5
    θ4 /(°)[5,20]10.015.9
    H1 /mm[25.0,35.0]30.028.2
    H2 /mm[20.0,30.0]25.025.2
    Table 2. Optimal parameter combination results
    ParameterDirectionGravity in x direction4 ℃ temperature rise
    x1.5×10-6-3.2×10-5
    Rigid body displacement /μmy9.3×10-18.0×10-4
    z-7.0×10-41.3×10-2
    Tilt /(″)x1.4×10-28.1×10-2
    y6.0×10-38.2×10-2
    Intrinsic frequency /Hz402.3
    m /kg2.42
    Table 3. Optimize analysis results
    Loading directionIntrinsic frequency from experiment /HzIntrinsic frequency from analysis /HzRelative error /%Vibration mode
    x419.9423.50.8Swing around y axis
    y397.8402.31.1Swing around x axis
    z624.1635.61.8Vibration along z axis
    Table 4. Frequency comparison in different situations
    Yang Hu, Ji Li, Xuezhi Jia. Optimal Design of Lightweight Off-Axis Mirror and Flexible Support[J]. Acta Optica Sinica, 2020, 40(19): 1923002
    Download Citation