Infrared and Laser Engineering, Volume. 50, Issue 10, 20210118(2021)

Design and application of bi-axial half-butterfly flexure hinges in fast steering mirrors

Lei Zhao, Qiuxing Liu, Bo Hu, Hu Wang, Liang Liang, and Heng Lu
Author Affiliations
  • Xi'an Institute of Applied Optics, Xi'an 710065, China
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    Figures & Tables(19)
    Beam pointing control by FSMs
    A butterfly flexure hinge
    Beam pointing accuracy effect analysis
    Pivot structure design
    Structure of an FSM system
    Sectional view and flexural strain schematic diagram of the universal flexure hinge
    Exploded view of flexure hinge units
    Simplified structure diagram of in-plane butterfly flexure hinge units
    Stress diagram of the parallel flexible structure fixed support
    Topology optimization result of right quadrant
    Topology optimization result of right quadrant
    Photograph of a bi-axial half-butterfly flexure hinge
    Simulation results of modals
    Photograph of the test system
    Open loop amplitude frequency response curve of Z axis
    • Table 1. Main parameters of a bi-axial half-butterfly flexure hinge

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      Table 1. Main parameters of a bi-axial half-butterfly flexure hinge

      ParametersCharacteristics
      Section length l1/mm 18
      Section length l3/mm 23
      Section width t/mm 0.5
      Section thickness w/mm 20
      Angle φ1/(°) 15
      Angle φ2/(°) 30
      Modulus of elasticity E/GPa 110
      Moment of inertia Jz/kg·m21.67×10−5
    • Table 2. Material parameters of a bi-axial half-butterfly flexure hinge

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      Table 2. Material parameters of a bi-axial half-butterfly flexure hinge

      MaterialDensity, ρ/g·cm-3Modulus of elasticity, E/GPa Poisson’s ratio, v
      Titanium alloy4.51100.34
    • Table 3. Modal frequencies and modal shapes of the half-butterfly flexure hinge

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      Table 3. Modal frequencies and modal shapes of the half-butterfly flexure hinge

      Modal orderModal frequency/HzModal shape
      1160.04Rotate around Z
      2915.22Y direction
      3967.10Z direction
      4967.80X direction
    • Table 4. Natural frequency verification with the FEM and experiments

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      Table 4. Natural frequency verification with the FEM and experiments

      FreedomZ axis
      Natural frequency/HzExperiments165.29
      Analytic163.13
      ErrorFinite-element analysis160.04
      Analytic1.3%
      Finite-element analysis3.2%
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    Lei Zhao, Qiuxing Liu, Bo Hu, Hu Wang, Liang Liang, Heng Lu. Design and application of bi-axial half-butterfly flexure hinges in fast steering mirrors[J]. Infrared and Laser Engineering, 2021, 50(10): 20210118

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    Paper Information

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    Received: Feb. 22, 2021

    Accepted: --

    Published Online: Dec. 7, 2021

    The Author Email:

    DOI:10.3788/IRLA20210118

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