Infrared and Laser Engineering, Volume. 50, Issue 4, 20200286(2021)

Multi-objective optimal design of elliptic flexible hinge in fast steering mirror

Songhang Wu1,2, Jihong Dong1, Shuyan Xu1, Funan Yu1, and Boqian Xu1
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
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    Figures & Tables(12)
    Elliptical flexible hinge
    Front view of elliptic flexible hinge
    Relationship curve of I/I0 and s
    Optimization design process of elliptic flexible hinge
    Correlation factors between structural parameters and axial compliance
    Pareto solution distribution
    Three-axis rotation analysis results
    • Table 1. [in Chinese]

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      Table 1. [in Chinese]

      t0/mm w/mm Cz-Mz/rad·Nm−1Cy-My/rad·Nm−1Cx-Mx/rad·Nm−1yc/m
      EQU150.11308.699×10−37.572×10−21.000×10−7
      FEM150.11068.989×10−37.380×10−29.993×10−8
      EQU0.550.64791.360×10−20.40954.194×10−7
      FEM0.550.64191.403×10−20.39964.179×10−7
      EQU130.18844.028×10−20.14261.668×10−7
      FEM130.18744.141×10−20.13291.677×10−7
      EQU0.2310.800.10894.5084.501×10−6
      FEM0.2310.510.10984.7904.487×10−6
    • Table 2. [in Chinese]

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      Table 2. [in Chinese]

      Jθx/ kg·m2Jθy/kg·m2Jθz/ kg·m2
      3.46×10−63.46×10−66.33×10−6
    • Table 3. [in Chinese]

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      Table 3. [in Chinese]

      a/mm b/mm t0/mm w/mm Cz-Mz/rad·Nm−1Cy-My/rad·Nm−1Cx-Mx/rad·Nm−1
      Initial value950.560.48597.079×10−30.2966
      Optimized value9.676.630.6619.740.13901.343×10−38.870×10−2
    • Table 4. [in Chinese]

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      Table 4. [in Chinese]

      AlgorithmCz-Mz/rad·Nm−1Cy-My/rad·Nm−1Cx-Mx/rad·Nm−1RCPareto solution numberPareto solution efficiency
      MIGA0.13201.329×10−26.999×10−2−0.615338.2%
      PSO0.13014.630×10−27.075×10−20.411027.5%
      NSGA-II0.13901.343×10−28.870×10−2−0.821052.5%
    • Table 5. [in Chinese]

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      Table 5. [in Chinese]

      Cz-Mz/rad·Nm−1Cy-My/rad·Nm−1Cx-Mx/rad·Nm−1
      EQU0.13901.343×10−38.870×10−2
      FEM0.13201.340×10−38.290×10−2
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    Songhang Wu, Jihong Dong, Shuyan Xu, Funan Yu, Boqian Xu. Multi-objective optimal design of elliptic flexible hinge in fast steering mirror[J]. Infrared and Laser Engineering, 2021, 50(4): 20200286

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    Paper Information

    Category: Optical design

    Received: Jul. 20, 2020

    Accepted: --

    Published Online: Jul. 30, 2021

    The Author Email:

    DOI:10.3788/IRLA20200286

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