Chinese Optics, Volume. 15, Issue 5, 1066(2022)
Integrated optimization design of mirror semi-active support system based on Warping Harness
Fig. 1. Whiffletree support structure of the mirror with 9 support points
Fig. 3. Diagram structure of the flexible parts of the support system
Fig. 7. Linear analysis of the displacement of the WH spring blade
Fig. 9. Comparison of mirror deformation before and after optimization of the support point position
Fig. 10. Specular deformation diagrams before (top) and after (bottom) optimization under three working conditions
Fig. 13. Correction force and mirror aberration impact analysis platform
Fig. 14. Pareto diagrams of the 4th to 11th order Zernike aberrations for each correction force
Fig. 15. Comparison before and after correction and their correction rate of each aberration of the mirror surface during the pitching process of the semi-active support system
Fig. 16. The relationship between mirror surface shape and pitch angle
Fig. 17. Cloud maps before (top) and after (bottom) mirror correction during pitching
Fig. 18. Deformation cloud diagrams of the mirror’s surface shapes before (left) and after (right) correction under a 10°C temperature rise
Table 1. Primary mirror parameters
View tableView in ArticleTable 1. Primary mirror parameters
参数 指标 口径d/mm 500.00 焦距f/mm 6000.00 密度(g/cm-3) 2.53 弹性模量GPa 91.00 泊松比 0.24 热膨胀系数(10−6/K) 0.05
Table 2. Calculation results of the cross-sectional area of each flexible part
View tableView in ArticleTable 2. Calculation results of the cross-sectional area of each flexible part
类别 F/N L/mm Amin/mm2 轴向柔性杆 12 48 0.0014 三角板柔节 50 28 0.0011 侧向柔性杆 58 42 0.0020
Table 3. Optimization results of the support point position
View tableView in ArticleTable 3. Optimization results of the support point position
项目 参数 R1/mm 68.3 R0/mm 206.5 PV/nm 52.7 RMS/nm 12.0
Table 4. The optimal solution for the structural size of the supporting flexible parts
View tableView in ArticleTable 4. The optimal solution for the structural size of the supporting flexible parts
项目 参数 H/mm 2.9 Rz/mm 1.4 Rc/mm 0.5 RMSx/nm 4.8 RMSz/nm 13.3 RMSt/nm 1.9
Table 5. Flexible rod axis and lateral decoupling results
View tableView in ArticleTable 5. Flexible rod axis and lateral decoupling results
项目 参数 R轴/mm 1.4 R侧/mm 0.50 S轴轴/mm 0.00030 S轴侧/mm 0.067 S侧/mm 0.014 满足耦合 满足
Table 6. Comparison of mirror surface shapes before and after correction at 30°C
View tableView in ArticleTable 6. Comparison of mirror surface shapes before and after correction at 30°C
Temp_30°C Before/nm After/nm correct RMS 19.2 13.2 31.28% Power −13.8 −0.382 97.23% Astig0° −0.588 −0.0783 86.68% Astig90° 0.0998 0.0680 31.86% Coma0° −0.0211 −0.0268 −27.01% Coma90° −0.00346 −0.0466 −1246.82% Primary spherical −2.43 −0.981 59.63% Trefoil0° −12.8 −12.4 3.13% Trefoil90° −1.43 −3.45 −141.26%
Table 7. The first four-order resonance frequencies of the mirror chamber assembly
View tableView in ArticleTable 7. The first four-order resonance frequencies of the mirror chamber assembly
阶数 1 2 3 4 频率/Hz 130.5 132.7 199.7 203.3
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Ben-lei ZHANG, Fei YANG, Fu-guo WANG, Bao-wei LU. Integrated optimization design of mirror semi-active support system based on Warping Harness[J]. Chinese Optics, 2022, 15(5): 1066
Category: Original Article
Received: Jun. 11, 2022
Accepted: --
Published Online: Sep. 29, 2022
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