Infrared and Laser Engineering, Volume. 51, Issue 6, 20210670(2022)
Optimization design of large-aperture lens mixed flexible support structure
Figures & Tables(22)
Fig. 2. Schematic diagram of the overall structure of lens assembly
Fig. 6. Schematic diagram of equivalent analysis of elastic sheet flexure hinge
Fig. 7. Equal mechanical model for flexible supports in the
Fig. 8. Relationship between flexibility
Fig. 9. Radial flexible support structure and its finite element model
Fig. 15. Static surface cloud map of the upper surface of the lens
Table 1. Material properties
View tableView in ArticleTable 1. Material properties
Materials H-K9L 4J32 TC4 Density ρ/kg·m−3 2520 8300 4400 Elastic modulus E/GPa 79.2 150 114 Poisson’s ratio μ 0.21 0.30 0.34 Thermal expansion coefficient α/10-6·K−1 7.60 7.50 9.10
Table 2. Optimization results of flexure hinge support structure
View tableView in ArticleTable 2. Optimization results of flexure hinge support structure
Parameter Initial Optimized r1/mm 0.1 0.5 r2/mm 0.2 0.5 l/mm 15 40 t/mm 1.2 0.6 t1/mm 6 3 t2/mm 7 6 Surface and position accuracy RMS/nm 39.498 11.272 Maximum deformation x/mm 0.0532 0.0515
Table 3. Comparison of theoretical stiffness (An) and FEA of radial flexible support structure
View tableView in ArticleTable 3. Comparison of theoretical stiffness (An) and FEA of radial flexible support structure
Number Parameter/mm Stiffness/105 N·m−1 Error l t h FEA An 1 40 0.6 16 0.991 0.985 0.62% 2 40 0.6 20 1.229 1.231 0.16% 3 40 1.0 16 4.762 4.560 4.24% 4 36 0.8 16 3.203 3.417 6.74% 5 36 1.0 16 6.255 6.515 4.16% 6 36 1.0 20 7.819 8.183 4.65% 7 46 1.0 16 2.998 2.840 5.27% 8 46 1.0 20 3.748 3.545 5.42% 9 46 1.2 16 5.181 5.225 0.85% 10 46 1.2 20 6.476 6.575 1.53%
Table 4. Comparison of theoretical (An) and teststiffness (Ex) of radial flexible support structures
View tableView in ArticleTable 4. Comparison of theoretical (An) and teststiffness (Ex) of radial flexible support structures
Number Stiffness/105 N·m−1 Error Ex An 1 1.000 0.985 1.52% 2 0.923 0.985 6.29% 3 1.025 0.985 4.06% 4 1.039 0.985 5.48%
Table 5. Deformation and displacement data of lens statics simulation under various working conditions
View tableView in ArticleTable 5. Deformation and displacement data of lens statics simulation under various working conditions
Load case Maximum deformation x/mm Grav _X 7.61×10−3 Grav _Y 7.61×10−3 Grav _Z 4.62×10−3 Temp_−10 7.66×10−2 Temp_+40 5.10×10−2
Table 6. Modal analysis results of lens subassembly
View tableView in ArticleTable 6. Modal analysis results of lens subassembly
Order Frequency/Hz Mode shapes 1 183.97 Move along X-axis 2 183.97 Move along Y-axis 3 234.35 Move along Z-axis
Table 7. Analysis results of surface precision on lens assembly
View tableView in ArticleTable 7. Analysis results of surface precision on lens assembly
Load case PV/nm RMS/nm Grav _X 16.636 6.0695 Grav _Y 16.514 6.0758 Grav _Z 25.506 9.9347 Temp_−10 ℃ 6.4467 1.5756 Temp_+40 ℃ 4.3959 1.0709
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Xiaodi Wang, Yuyan Cao, Fuguo Wang, Hongliang Chu, Yanwei Li. Optimization design of large-aperture lens mixed flexible support structure[J]. Infrared and Laser Engineering, 2022, 51(6): 20210670
Paper Information
Category: Optical design
Received: Sep. 14, 2021
Accepted: --
Published Online: Dec. 20, 2022
The Author Email: Yuyan Cao (yuyan_cao@126.com)
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