Author Affiliations
1 Changchun Institute of Optics, Fine Mechanics and Physics, Chinese Academy of Sciences, Changchun, Jilin 130033, China2 University of Chinese Academy of Sciences, Beijing 100049, China3 Chang Guang Satellite Technology Co. Ltd., Changchun, Jilin 130031, Chinashow less
Fig. 1. Model of primary mirror
Fig. 2. Flexible supporting part
Fig. 3. Boundary dimension parameters of backplate
Fig. 4. Connection between backplate and other structures
Fig. 5. Finite element models of initial structure of backplate. (a) Initially designed finite element model; (b) initial structure finite element model of constraint
Fig. 6. Iterative convergence curve
Fig. 7. (a) Topological optimization result of initial structure of backplate; (b) processed backplate model
Fig. 8. Parameter variables of supporting backplate structure
Fig. 9. Procedure of optimization iteration
Fig. 10. Supporting backplate model after optimization. (a) Obverse side; (b) reverse side
Fig. 11. Displacement cloud image of mirror surface
Fig. 12. First order intrinsic mode shape of mirror assembly
Material | Density /(g·cm-3) | Elasticity modulus /GPa | Thermal conductivity /(W·m-1·K-1) | Coefficient of linear expansion /(106 m·℃-1) | Specific stiffness /(N·tex-1) | Thermostability /(106 W·m-2) | Quality factor |
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Al | 2.70 | 68 | 167.00 | 22.50 | 25.19 | 7.42 | 186.97 | Ti | 4.40 | 114 | 7.40 | 9.10 | 25.91 | 0.81 | 21.07 | MgAl | 1.80 | 40 | 201.00 | 25.00 | 22.22 | 8.04 | 178.65 | 4J32 invar alloy | 8.90 | 141 | 13.70 | 0.65 | 15.84 | 21.08 | 333.86 | 35%SiC/Al | 3.00 | 100 | 155.00 | 16.00 | 33.33 | 9.69 | 322.88 | 55%SiC/Al | 2.94 | 213 | 235.00 | 8.00 | 72.40 | 29.38 | 2126.75 | SiC | 3.20 | 400 | 155.00 | 2.40 | 125.00 | 64.58 | 8072.92 |
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Table 1. Performance parameters and comprehensive quality factors of commonly used spatial structural materials
Variable | Range /mm | Initial value /mm | Optimization result /mm |
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Bh | [2,4] | 3.0 | 2.0 | H | [9,13] | 13.5 | 9.6 | Tc | [2,4] | 5.0 | 2.2 | Tic | [2,4] | 3.0 | 2.2 | TL1 | [2,4] | 5.0 | 2.1 | TL2 | [2,4] | 5.0 | 2.5 |
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Table 2. Designed variables and optimized results
Load | Face shape precision |
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RMS /nm | Peak to valley /nm |
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25℃ | 0.158 | 0.781 | FX | 1.169 | 5.403 | FZ | 4.069 | 17.620 | FX+25 ℃ | 1.221 | 6.181 | FZ+25 ℃ | 3.953 | 18.190 |
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Table 3. Surface analysis and accuracy comparison
Swing around Z axis /Hz | Vibration along X axis /Hz | Vibration along Y axis /Hz | Mass of supporting backplate /kg |
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397 | 409 | 410 | 0.591 |
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Table 4. First three order modal information of mirror assembly
Parameter | Direction along X | Direction along Y | Direction along Z |
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Frequency range /Hz | 10-80 | 80-800 | 800-2000 | Power spectral density /(g2·Hz-1) | +3 dB/oct | 0.01 | -6 dB/oct | Root-mean-square(RMS) | | 3.56g | |
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Table 5. Conditions of random vibration test
Direction | X | Y | Z |
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Result of random vibration analysis(RMS) | 10.98g | 10.91g | 15.45g |
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Table 6. Analysis result of random response