Fig. 1. Configuration of optical system
Fig. 2. Models of mirror and frame
Fig. 3. Configuration of support structure
Fig. 4. Model of support structure
Fig. 5. Dimension of flexible support structure
Fig. 6. Dynamic test of secondary mirror component
Fig. 7. Z-direction characteristics curve of secondary mirror assembly
Item | Requirement | Note |
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Fundamental frequency | ≥100 Hz | | Weight | ≤5 kg | | Surface accuracy | ≤λ/70 | under all load cases | Structural stability | translation≤3 μm, tilt≤3″ | after the environmental test |
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Table 1. Requirements of secondary mirror
Model | Hemi-flexible | Rigid | Flexible |
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First order frequency and mode | 104 Hz, translation in axis direction | 120 Hz, translation in axis direction | 81 Hz, translation in axis direction | Response | 12 | 16 | 8 | Acting force /N | 1020 | 2740 | 1410 | Gravity deformation /μm | 3.49 | 1.66 | 14.90 |
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Table 2. Performance comparison of support structures
Performance parameter | Zerodure | Invar | Vulcanized rubber | Damping glue | Carbon fiber |
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Density /(g⋅cm-3) | 2.53 | 8.10 | 1.10 | 1.00 | 2.00 | Elastic modulus /MPa | 90000 | 140000 | 5 | 2 | 70000 | Poisson ratio | 0.200 | 0.300 | 0.485 | 0.485 | 0.180 | Thermal expansion coefficient /(10-6 ℃-1) | 0.05 | 0.50 | 236.00 | 200.00 | 0.50 |
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Table 3. Properties of materials used for simulation of mirror assembly
Working condition | Design result |
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Gravity deformation of horizontal optical axis δ1 | λ/1000 | Deformation of 2 ℃ temperature rise δ2 | 2λ/1000 | Deformation of adhesive shrinkage δ3 | λ/1000 | Deformation of 0.02 mm forced displacement δ4 | 2λ/1000 |
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Table 4. Finite element analysis results of mirror assembly(λ=632.8 nm)
Frequency range /Hz | Vibration amplitude |
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5~10 | 5.59 mm | 10~30 | 2.25g | 30~35 | 2.25~6g | 35~75 | 6g | 75~80 | 6~3g | 80~100 | 3g |
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Table 5. Magnitude of sinusoidal vibration test in XYZ directions
Frequency range /Hz | Power spectral density |
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20~190 | +3 dB | 190~500 | 0.06 g2/Hz | 500~750 | 0.045 g2/Hz | 750~2000 | -9 dB | Total root-mean-square acceleration | 7.07g (RMS) | Time | 2 min |
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Table 6. Magnitude of random vibration test in XYZ directions