Author Affiliations
1Chang Guang Satellite Technology Co., LTD., Changchun, Jilin 130102, China2Changchun Institute of Optics, Fine Mechanics and Physics, Chinese Academy of Sciences, Changchun, Jilin 130033, Chinashow less
Fig. 1. Schematic of optical system
Fig. 2. Component structures of original mirror
Fig. 3. Surface shape solving process based on DRESP2
Fig. 4. Iterative convergence curve and optimization result. (a) Iterative convergence curve; (b) SIMP topology optimization result
Fig. 5. Structural parameters of mirror assembly. (a) Vertical view of mirror; (b) section view of mirror; (c) vertical view of athermal cone
Fig. 6. Flow chart of integrated optimization platform processing
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
Fig. 8. Surface shape analysis results under different conditions. (a) x-gravity condition; (b) 4 ℃ temperature rise
Fig. 9. Camera mechanical vibration test platform
Fig. 10. Sine frequency sweep test data. (a) x-direction sine sweep; (b) y-direction sine sweep; (c) z-direction sine sweep
Fig. 11. Surface interference detection site
Fig. 12. Test results of mirror before and after test. (a) Before test; (b) after test
Material | Density /(g·cm-3) | Young's modulus /GPa | Specific stiffness | Thermal expansion coefficient /(10-6 ℃) | Poisson's ratio |
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Zerodur | 2.53 | 91 | 36.0 | 0.05 | 0.24 | SiC | 3.05 | 310 | 101.6 | 2.50 | 0.14 | Invar | 8.10 | 141 | 17.4 | 0.05--7.00 | 0.25 | TC4 | 4.44 | 109 | 24.5 | 9.10 | 0.34 | SiC/Al | 3.00 | 180 | 60.0 | 8.10 | 0.18 |
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Table 1. Performance indicators of common space camera materials
Variable | Value range | Initial value | Optimization |
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Tback /mm | [22.0,28.0] | 24.0 | 25.2 | Trib1 /mm | [3.0,5.0] | 4.0 | 4.6 | Trib2 /mm | [3.0,6.0] | 5.0 | 4.1 | Trib3 /mm | [3.0,6.0] | 5.0 | 5.4 | Trib4 /mm | [3.0,6.0] | 5.0 | 4.5 | Tc /mm | [0.5,2.0] | 1.0 | 1.6 | D1 /mm | [115.0,125.0] | 120.0 | 118.3 | D2 /mm | [205.0,210.0] | 205.0 | 3.0 | D3 /mm | [208.0,215.0] | 210.0 | 3.0 | D4 /mm | [55.0,80.0] | 76.0 | 64.2 | D5 /mm | [45.0,75.0] | 66.0 | 52.8 | Dcone /mm | [70.0,100.0] | 90.0 | 75.5 | θ1 /(°) | [30,60] | 40.0 | 46.5 | θ2 /(°) | [0,30] | 10.0 | 8.5 | θ3 /(°) | [5,20] | 5.0 | 9.5 | θ4 /(°) | [5,20] | 10.0 | 15.9 | H1 /mm | [25.0,35.0] | 30.0 | 28.2 | H2 /mm | [20.0,30.0] | 25.0 | 25.2 |
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Table 2. Optimal parameter combination results
Parameter | Direction | Gravity in x direction | 4 ℃ temperature rise |
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| x | 1.5×10-6 | -3.2×10-5 | Rigid body displacement /μm | y | 9.3×10-1 | 8.0×10-4 | | z | -7.0×10-4 | 1.3×10-2 | Tilt /(″) | x | 1.4×10-2 | 8.1×10-2 | | y | 6.0×10-3 | 8.2×10-2 | Intrinsic frequency /Hz | | 402.3 | m /kg | | 2.42 |
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Table 3. Optimize analysis results
Loading direction | Intrinsic frequency from experiment /Hz | Intrinsic frequency from analysis /Hz | Relative error /% | Vibration mode |
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x | 419.9 | 423.5 | 0.8 | Swing around y axis | y | 397.8 | 402.3 | 1.1 | Swing around x axis | z | 624.1 | 635.6 | 1.8 | Vibration along z axis |
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Table 4. Frequency comparison in different situations