Opto-Electronic Engineering, Volume. 51, Issue 2, 230157(2024)

Design and thermal stability analysis of primary mirror assembly for space-borne gravitational wave telescope

Sijun Fang... Bohong Li, Bin He, Yuwei Wu and Lei Fan* |Show fewer author(s)
Author Affiliations
  • MOE Key Laboratory of TianQin Mission, TianQin Research Center for Gravitational Physics & School of Physics and Astronomy, Frontiers Science Center for TianQin, Gravitational Wave Research Center of CNSA, Sun Yat-sen University (Zhuhai Campus), Zhuhai, Guangdong 519082, China
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    Figures & Tables(17)
    Schematic diagram of the telescope system. (a) Telescope optical system; (b) Primary mirror assembly
    Primary mirror lightweight model. (a) Support point layout; (b) Rib plate parameters; (c) Mirror thickness
    Relation between top angle of support and surface shape and rigid body displacement under different gravity directions. (a) Gravity force in the X-direction; (b) Gravity force in the Y-direction
    Topology optimization results of the backplane. (a) Initial backplane; (b) Topological result; (c) Optimized backplane
    Stress-strain diagram of the beam element
    Parameters of the flexible legs
    Schematic diagram of a single Bipod flexible support
    Schematic diagram of primary mirror’s flexible support
    Influence of structural parameters on the evaluation function
    The structure of the primary mirror assembly is deformed. (a) Finite element model; (b) Gravity condition; (c) Temperature condition; (d) Superposition condition
    Surface error of the primary mirror. (a) Gravity condition; (b) Temperature condition; (c) Superposition condition
    Structural stability of primary mirror assembly. (a) Temperature stability of the environment; (b) Dimensional stability of structure
    • Table 1. Properties of primary mirror component materials

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      Table 1. Properties of primary mirror component materials

      MatericalsZerodur4J36TC4
      Density/(g·cm3)2.538.904.44
      Poisson ratio0.240.250.34
      Young's modulus /GPa90.3141109
      CTE/(10−6·K−1)0.010.659.10
      Thermal conductivity/(W·m−1·K−1)1.3113.76.8
    • Table 2. The parameters of the lightweight primary mirror

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      Table 2. The parameters of the lightweight primary mirror

      NameEdge thicknessRoof thicknessRib thicknessRib spacing
      Parmhcehpmljinlju
      Range/mm[6, 10][7, 9][4, 7][54, 66]
      Value/mm88560
    • Table 3. The parameters of the lightweight primary mirror

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      Table 3. The parameters of the lightweight primary mirror

      Parml1l2l3l4t1t2w1w2
      Range/mm[6, 10][5, 14][5, 14][1, 4][1, 3][0.5, 2][8, 14][8, 14]
      Value/mm8962211010
    • Table 4. Modal analysis of primary mirror components

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      Table 4. Modal analysis of primary mirror components

      Mode 1Mode 2Mode 3Mode 4Mode 5Mode 6
      Frequency/Hz392.43394.83722.33770.50927.36994.01
    • Table 5. Primary mirror component analysis results

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      Table 5. Primary mirror component analysis results

      TXTYTZRXRYRMS
      Requirement≤5 μm≤5 μm≤5 μm≤2.5 μrad≤2.5 μrad15 nm
      G−4.91 nm−1.59 μm−2.404 nm −36.3 nrad6.64 nrad5.47 nm
      T−0.423 nm−1.84 nm−0.714 μm−83.8 nrad21.9 nrad3.63 nm
      G+T−5.34 nm−1.60 μm−0.717 μm−0.120 μrad28.6 nrad3.61 nm
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    Sijun Fang, Bohong Li, Bin He, Yuwei Wu, Lei Fan. Design and thermal stability analysis of primary mirror assembly for space-borne gravitational wave telescope[J]. Opto-Electronic Engineering, 2024, 51(2): 230157

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    Paper Information

    Category: Article

    Received: Jun. 30, 2023

    Accepted: Oct. 10, 2023

    Published Online: Apr. 26, 2024

    The Author Email: Fan Lei (范磊)

    DOI:10.12086/oee.2024.230157

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