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Chinese Optics, Volume. 17, Issue 4, 896(2024)

Lightweight and optimized U-frame design for space-borne two-dimensional turntable

Yu-xuan WEI1,2,3, Zhen-yu WANG1,3, Zhi-guo LI1,3、*, Le-hong HUANG1,2,3, Kai YANG1,2, and Yu-bao MA1,2
Author Affiliations
  • 1Xi'an Institute of Optics and Precision Mechanics, Chinese Academy of Sciences, Xi’an 710119, China
  • 2University of Chinese Academy of Sciences, Beijing 100049, China
  • 3Key Laboratory of Space Precision Measurement Technology, Chinese Academy of Sciences, Xi’an 710119, China
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    AbstractGet PDF(in Chinese)
    Figures&Tables (27)
    Equations (7)
    References (22)
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    Figures & Tables(27)
    Main dimensions of titanium alloy U-frame structure

    Fig. 1. Main dimensions of titanium alloy U-frame structure

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    Preliminary design of CFRP U-frame

    Fig. 2. Preliminary design of CFRP U-frame

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    Variable thickness design of carbon fiber arms

    Fig. 3. Variable thickness design of carbon fiber arms

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    Finalized CFRP U-frame structure

    Fig. 4. Finalized CFRP U-frame structure

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    Principles of composite modeling based on layup process

    Fig. 5. Principles of composite modeling based on layup process

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    Meshing of CFRP U-frame

    Fig. 6. Meshing of CFRP U-frame

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    Variable thickness modeling method of CFRP arm

    Fig. 7. Variable thickness modeling method of CFRP arm

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    CFRP U-frame FEM model and thickness distribution

    Fig. 8. CFRP U-frame FEM model and thickness distribution

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    Boundary conditions of static analysis for CFRP U-frame

    Fig. 9. Boundary conditions of static analysis for CFRP U-frame

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    Static analysis results of CFRP U-frame

    Fig. 10. Static analysis results of CFRP U-frame

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    Forming process of CFRP U-frame

    Fig. 11. Forming process of CFRP U-frame

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    Final product of CFRP U-frame

    Fig. 12. Final product of CFRP U-frame

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    CFRP U-frame modal test experiment

    Fig. 13. CFRP U-frame modal test experiment

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    Constrained modal simulation and test shape results

    Fig. 14. Constrained modal simulation and test shape results

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    Optimization of CFRP U-frame design process

    Fig. 15. Optimization of CFRP U-frame design process

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    Genetic algorithm process for Ply angle optimization

    Fig. 16. Genetic algorithm process for Ply angle optimization

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    Iterative curve of objective function

    Fig. 17. Iterative curve of objective function

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    Convergence curves of the objective function for ply shape optimization

    Fig. 18. Convergence curves of the objective function for ply shape optimization

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    Ply thickness optimization results

    Fig. 19. Ply thickness optimization results

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    • Table 1. Properties of materials used for U-frame

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      Table 1. Properties of materials used for U-frame

      材料弹性模量E1/(MPa)弹性模量E2/(MPa)弹性模量E3/(MPa)剪切模量G/(MPa)泊松比μ密度/(g·cm−3)
      铝合金710007100071000270000.32.7
      碳纤维M40J2200008200820051000.31.6

    • Table 2. CFRP U-frame layering method

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      Table 2. CFRP U-frame layering method

      铺层区域单层厚度/mm层数总厚度/mm铺层顺序
      整体0.133273.591[0/90/45/03/−45/0/0/−45/02/−45/03/45/0/90/0/45/0/90/0/902/0]
      顶部加强区过渡区1303.990[0/90/45/03/−45/0/0/−45/02/−45/03/45/0/90/0/45/0/90/0/902/0/−45/45/0]
      过渡区2334.389[0/90/45/03/−45/0/0/−45/02/−45/03/45/0/90/0/45/0/90/0/902/0/−45/45/0/45/90/0/−45/45/0]
      过渡区3364.788[0/90/45/03/−45/0/0/−45/02/−45/03/45/0/90/0/45/0/90/0/902/0/−45/45/0/45/90/0/−45/45/0/90/0/−45/45/90/0/−45/45/0]
      底部加强区过渡区1314.123[0/90/45/03/−45/0/0/−45/02/−45/03/45/0/90/0/45/0/90/0/902/0/−45/45/0/90]
      过渡区2354.655[0/90/45/03/−45/0/0/−45/02/−45/03/45/0/90/0/45/0/90/0/902/0/45/90/0/0/−45/45/0/]
      过渡区3385.054[0/90/45/03/−45/0/0/−45/02/−45/03/45/0/90/0/45/0/90/0/902/0/90/0/−45/45/90/0/0/−45/45/0/90]

    • Table 3. Modal simulation analysis results of CFRP U-frame

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      Table 3. Modal simulation analysis results of CFRP U-frame

      模态类型阶次仿真频率/Hz仿真振型
      约束模态一阶80.21左臂左右摆
      二阶84.20右臂左右摆
      三阶107.27左臂前后摆
      四阶113.15右臂前后摆
      自由模态一阶80.30两臂开合摆
      二阶168.11两臂前后摆
      三阶248.81两臂左右摆

    • Table 4. Comparison of modal simulation analysis results for CFRP U-frame and titanium U-frame

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      Table 4. Comparison of modal simulation analysis results for CFRP U-frame and titanium U-frame

      项目钛合金U型架碳纤维U型架
      质量/kg19.9010.80
      厚度5 mm（筋4 mm）变厚度
      一阶频率/Hz83.6080.21
      最大应力/MPa2.291.26
      应力集中明显不明显

    • Table 5. Comparison between modal test results and finite element analysis results

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      Table 5. Comparison between modal test results and finite element analysis results

      模态类型阶次仿真频率/Hz试验频率/Hz误差
      约束模态一阶80.2183.203.6%
      二阶84.2087.904.2%
      三阶107.27112.794.9%
      四阶113.15117.393.6%
      自由模态一阶80.3084.424.9%
      二阶168.11170.292.4%
      三阶248.81252.763.3%

    • Table 6. Iterative process of free size optimization

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      Table 6. Iterative process of free size optimization

      迭代步质量（kg）优化前后质量对比一阶固有频率（Hz）优化前后固有频率对比
      013.64+20.82%87.61+8.44%
      111.55+6.49%84.52+5.10%
      29.92−8.15%83.33+3.74%
      39.37−13.24%83.79+4.27%
      49.07−16.02%83.62+4.08%
      58.92−17.41%83.38+3.80%
      68.83−18.24%83.23+3.63%
      78.79−18.61%83.14+3.52%
      88.77−18.80%83.09+3.47%

    • Table 7. Iterative process of size optimization

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      Table 7. Iterative process of size optimization

      迭代步质量（kg）优化前后质量对比一阶固有频率（Hz）优化前后固有频率对比
      012.20+11.48%107.65+25.50%
      110.38+3.89%95.65+16.15%
      29.25−14.35%83.29+3.71%
      39.32−13.70%86.42+7.20%
      49.28−14.07%86.52+7.30%
      59.31−13.80%87.33+8.16%

    • Table 8. Comparative analysis of U-frames

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      Table 8. Comparative analysis of U-frames

      项目钛合金U型架碳纤维U型架铺层优化碳纤维U型架
      质量19.90 kg10.80 kg9.31 kg
      一阶频率83.60 Hz80.21 Hz89.26 Hz
      最大应力2.29 MPa1.26 MPa1.76 MPa
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    Yu-xuan WEI, Zhen-yu WANG, Zhi-guo LI, Le-hong HUANG, Kai YANG, Yu-bao MA. Lightweight and optimized U-frame design for space-borne two-dimensional turntable[J]. Chinese Optics, 2024, 17(4): 896

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    Paper Information

    Received: Dec. 20, 2023

    Accepted: --

    Published Online: Aug. 9, 2024

    The Author Email:

    DOI:10.37188/CO.2023-0227

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