• Infrared and Laser Engineering
  • Vol. 51, Issue 6, 20210670 (2022)
Xiaodi Wang1、2, Yuyan Cao1、*, Fuguo Wang1, Hongliang Chu1, and Yanwei Li3
Author Affiliations
  • 1Changchun Institute of Optics, Fine Mechanics and Physics, Chinese Academy of Sciences, Changchun 130033, China
  • 2University of Chinese Academy of Sciences, Beijing 100049, China
  • 3Ji Hua Laboratory, Foshan 528200, China
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    DOI: 10.3788/IRLA20210670 Cite this Article
    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 Copy Citation Text show less
    Lens shape and dimension parameters
    Fig. 1. Lens shape and dimension parameters
    Schematic diagram of the overall structure of lens assembly
    Fig. 2. Schematic diagram of the overall structure of lens assembly
    Lens support assembly and its structural parts
    Fig. 3. Lens support assembly and its structural parts
    Schematic diagram of flexible hinge structure
    Fig. 4. Schematic diagram of flexible hinge structure
    Schematic diagram of force analysis of flexure hinge
    Fig. 5. Schematic diagram of force analysis of flexure hinge
    Schematic diagram of equivalent analysis of elastic sheet flexure hinge
    Fig. 6. Schematic diagram of equivalent analysis of elastic sheet flexure hinge
    Equal mechanical model for flexible supports in the X-axis direction
    Fig. 7. Equal mechanical model for flexible supports in the X-axis direction
    Relationship between flexibility Cx and design parameters柔度随各设计参数间的变化关系
    Fig. 8. Relationship between flexibility Cx and design parameters 柔度 随各设计参数间的变化关系
    Radial flexible support structure and its finite element model
    Fig. 9. Radial flexible support structure and its finite element model
    Test test equipment
    Fig. 10. Test test equipment
    Mesh division
    Fig. 11. Mesh division
    Simulation results under various working conditions
    Fig. 12. Simulation results under various working conditions
    The first three order mode shapes of the lens assembly
    Fig. 13. The first three order mode shapes of the lens assembly
    Schematic diagram of spherical data fitting principle
    Fig. 14. Schematic diagram of spherical data fitting principle
    Static surface cloud map of the upper surface of the lens
    Fig. 15. Static surface cloud map of the upper surface of the lens
    MaterialsH-K9L4J32TC4
    Density ρ/kg·m−3252083004400
    Elastic modulus E/GPa 79.2150114
    Poisson’s ratio μ0.210.300.34
    Thermal expansion coefficient α/10-6·K−17.607.509.10
    Table 1. Material properties
    ParameterInitialOptimized
    r1/mm 0.10.5
    r2/mm 0.20.5
    l/mm 1540
    t/mm 1.20.6
    t1/mm 63
    t2/mm 76
    Surface and position accuracy RMS/nm 39.49811.272
    Maximum deformation x/mm 0.05320.0515
    Table 2. Optimization results of flexure hinge support structure
    NumberParameter/mmStiffness/105 N·m−1Error
    lthFEAAn
    1400.6160.9910.9850.62%
    2400.6201.2291.2310.16%
    3401.0164.7624.5604.24%
    4360.8163.2033.4176.74%
    5361.0166.2556.5154.16%
    6361.0207.8198.1834.65%
    7461.0162.9982.8405.27%
    8461.0203.7483.5455.42%
    9461.2165.1815.2250.85%
    10461.2206.4766.5751.53%
    Table 3. Comparison of theoretical stiffness (An) and FEA of radial flexible support structure
    NumberStiffness/105 N·m−1Error
    ExAn
    11.0000.9851.52%
    20.9230.9856.29%
    31.0250.9854.06%
    41.0390.9855.48%
    Table 4. Comparison of theoretical (An) and teststiffness (Ex) of radial flexible support structures
    Load caseMaximum deformation x/mm
    Grav _X7.61×10−3
    Grav _Y7.61×10−3
    Grav _Z4.62×10−3
    Temp_−107.66×10−2
    Temp_+405.10×10−2
    Table 5. Deformation and displacement data of lens statics simulation under various working conditions
    OrderFrequency/HzMode shapes
    1183.97Move along X-axis
    2183.97Move along Y-axis
    3234.35Move along Z-axis
    Table 6. Modal analysis results of lens subassembly
    Load casePV/nmRMS/nm
    Grav _X16.6366.0695
    Grav _Y16.5146.0758
    Grav _Z25.5069.9347
    Temp_−10 ℃6.44671.5756
    Temp_+40 ℃4.39591.0709
    Table 7. Analysis results of surface precision on lens assembly
    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
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