Infrared and Laser Engineering, Volume. 50, Issue 6, 20200404(2021)
Lightweight structural design of rectangular space mirror assembly
Figures & Tables(20)
Fig. 5. Curves of influence of
Fig. 7. Curves of the self-weight surface of the mirror with respect to the support position
Table 1. Performance and quality factors of rational materials for mirror[9]
View tableView in ArticleTable 1. Performance and quality factors of rational materials for mirror[9]
RB-SiC Si Be ULE Zerodur Al Fused silica Poisson’s ratio μ 0.2 0.278 0.08 0.17 0.24 0.33 0.17 Elastic modulus E/GPa 340 131 287 67 91 78 72 Density ρ/g·cm−3 3.05 2.33 1.85 2.21 2.53 2.68 2.19 Specific stiffness E/ρ/GN·m·g−1 111.50 56.22 155.14 30.32 35.97 29.10 32.88 Thermal conductivity λ/W·(m·K)−1 155 156 216 1.31 1.64 167 1.40 Thermal expansion coefficient α/10−6·K−1 2.50 2.60 11.40 0.03 0.05 23.6 0.50 Thermal stability λ/α/106 W·m−1 62 60 18.95 43.67 32.80 7.08 2.80 Integrated quality (E/ρ) · (λ/α) 6913 3373.2 2939.40 1324.07 1179.76 206.03 92.06
Table 2. Influence of flexible hinge
t value on mirror assemblyView tableView in ArticleTable 2. Influence of flexible hinge
t value on mirror assemblyt/mm X-direction self-weight RMS/nm X-direction self-weight RMS/nm X-direction self-weight RMS/nm Fundamental frequency/Hz 2 13.69 8.92 11.54 252.6 2.5 13.68 8.66 11.46 256.1 3 12.43 8.81 10.10 259.3 3.5 13.63 8.96 11.32 262.3 4 13.62 9.09 11.47 265.0
Table 3. Material parameters of mirror assembly
View tableView in ArticleTable 3. Material parameters of mirror assembly
Material Density ρ / g·cm−3 Elastic modulus E /GPa Poisson’s ratio μ Thermal expansion coefficient α/10−6·℃−1 RB-SiC 3.05 340 0.2 2.5 4J32 8.1 150 0.28 2.5 TC4 4.44 109 0.34 8.9 SiC/Al 2.95 190 0.2 8.1
Table 4. Analysis results of the self-weight and temperature rise of the mirror assembly
View tableView in ArticleTable 4. Analysis results of the self-weight and temperature rise of the mirror assembly
Maximum deformation/μm PV/ nm RMS/ nm X-direction 1 g gravity 1.53 58.2 12.3 Y -direction 1 g gravity 2.82 51.5 10.7 Z -direction 1 g gravity 3.06 55.2 11.8 5 ℃ uniform temperature rise 9.5 17.2 3.9 Y-direction 1 g gravity + 5 ℃ uniform temperature rise 9.23 33.3 6.8
Table 5. Analysis results of the first six order mode shapes of mirror assembly
View tableView in ArticleTable 5. Analysis results of the first six order mode shapes of mirror assembly
Order Frequency/Hz Mode shapes 1 259 Mirror moves in the Z direction 2 311 Mirror moves in the Y direction 3 335 Mirror rotates around the X axis 4 408 Mirror rotates around the Z axis 5 438 Mirror rotates around the Y axis 6 484 Mirror moves in the X direction
Table 6. Sine vibration excitation conditions
View tableView in ArticleTable 6. Sine vibration excitation conditions
Frequency/Hz Vibration amplitude Incentive direction 5−15 8.89 mm 15−70 8 g X/Y/Z 70−75 5.7 g 75−100 5.7 g
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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
Paper Information
Category: Optical design
Received: Oct. 19, 2020
Accepted: --
Published Online: Aug. 19, 2021
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