• Optics and Precision Engineering
  • Vol. 32, Issue 13, 2070 (2024)
Linfeng ZHAO, Mingxiang LING, Liwei XUE, Hao SHEN, and Liguo CHEN*
Author Affiliations
  • School of Mechanical and Electrical Engineering, Soochow University, Suzhou215000, China
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    DOI: 10.37188/OPE.20243213.2070 Cite this Article
    Linfeng ZHAO, Mingxiang LING, Liwei XUE, Hao SHEN, Liguo CHEN. High-stroke XY precision positioning stage based on Zigzag flexure hinge[J]. Optics and Precision Engineering, 2024, 32(13): 2070 Copy Citation Text show less
    Structure of positioning platform
    Fig. 1. Structure of positioning platform
    Overall structure of XY positioning platform
    Fig. 2. Overall structure of XY positioning platform
    Schematic diagram of voice coil motor
    Fig. 3. Schematic diagram of voice coil motor
    Spring-mass-motor mechanical displacement system
    Fig. 4. Spring-mass-motor mechanical displacement system
    Schematic diagram of Zigzag and straight flexible leaf-spring
    Fig. 5. Schematic diagram of Zigzag and straight flexible leaf-spring
    Schematic diagram of straight beam flexible leaf-spring deformation
    Fig. 6. Schematic diagram of straight beam flexible leaf-spring deformation
    Schematic of Zigzag flexible leaf-spring deformation
    Fig. 7. Schematic of Zigzag flexible leaf-spring deformation
    Modal contour of straight beam flexible leaf-spring
    Fig. 8. Modal contour of straight beam flexible leaf-spring
    Modal cloud map of Zigzag flexible leaf-spring
    Fig. 9. Modal cloud map of Zigzag flexible leaf-spring
    Simulation results analysis
    Fig. 10. Simulation results analysis
    Displacement-stress curves of compliant platform
    Fig. 11. Displacement-stress curves of compliant platform
    Stress nebulae of simulation analysis for Zigzag and straight beam flexible leaf-spring
    Fig. 12. Stress nebulae of simulation analysis for Zigzag and straight beam flexible leaf-spring
    Geometric dimensions of Zigzag flexible leaf-spring
    Fig. 13. Geometric dimensions of Zigzag flexible leaf-spring
    Geometric dimensions of XY positioning platform
    Fig. 14. Geometric dimensions of XY positioning platform
    Finite element dynamic analysis of XY positioning platform
    Fig. 15. Finite element dynamic analysis of XY positioning platform
    Static simulation results of XY positioning stage
    Fig. 16. Static simulation results of XY positioning stage
    Physical prototype of positioning platform
    Fig. 17. Physical prototype of positioning platform
    Overall system of platform positioning
    Fig. 18. Overall system of platform positioning
    Displacement steady-state error
    Fig. 19. Displacement steady-state error
    Displacement relationship between driving current and XY positioning platform
    Fig. 20. Displacement relationship between driving current and XY positioning platform
    Repeatability analysis of XY positioning platform displacement
    Fig. 21. Repeatability analysis of XY positioning platform displacement
    Displacement tracking analysis of XY positioning platform
    Fig. 22. Displacement tracking analysis of XY positioning platform
    Frequency response in X and Y directions
    Fig. 23. Frequency response in X and Y directions
    Resolution test of XY positioning platform
    Fig. 24. Resolution test of XY positioning platform
    阶数直梁模态Zigzag模态
    1334179
    21 721208
    32 079392
    45 477570
    55 824147
    65 8762 076
    Table 1. First six-order nature frequencies of flexible leaf-spring
    簧 片刚度/(N·mm-1
    直梁柔性簧片12
    Zigzag柔性簧片5
    Table 2. Comparison of kinematic stiffness of two leaf-spring
    长度L厚度d位移
    250.300.3
    300.450.6
    0.9
    701.351.2
    751.501.5
    Table 3. Geometric parameters of two leaf-springs
    平台类型

    模态

    /Hz

    行程

    /mm

    应力

    /MPa

    长度

    /mm

    厚度

    /mm

    直梁簧片64±1.577.7580.7
    Zigzag簧片61.5±1.558.2581.0
    Table 4. Performance parameters of two platforms
    参数尺寸
    H231
    d1
    h58
    L58
    t64
    T52
    h30
    s1
    Table 5. Geometric dimensions of XY positioning platform
    阶数模态
    161.5
    261.5
    3150
    4198
    5199
    6199
    Table 6. First sixth order frequency of Zigzag platform
    运动方向位移/μm寄生运动/μm误差/%
    X1 500.10.1730.011 5
    Y1 500.60.1800.012 0
    Table 7. Simulation results of parasitic motion of XY positioning platform

    频率

    /Hz

    位移

    /mm

    刚度

    /(N·mm-1

    应力/MPa

    许用应力

    /MPa

    61.5±1.53958.266.7
    Table 8. Dynamic and static parameters of XY positioning platform
    定位平台频率/Hz行程/mm应力/MPa
    Wang9108/1091.4×1.2170
    Cai1073/732×2210
    Lin1133/1262×0.6280
    本文59.7/61.33×358.2
    Table 9. Performance comparison of designed and existing typical XY positioning platforms
    Linfeng ZHAO, Mingxiang LING, Liwei XUE, Hao SHEN, Liguo CHEN. High-stroke XY precision positioning stage based on Zigzag flexure hinge[J]. Optics and Precision Engineering, 2024, 32(13): 2070
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