• Optics and Precision Engineering
  • Vol. 31, Issue 21, 3111 (2023)
Zhifeng LOU1, Hanping ZHANG1,*, Jingjie ZHOU1, Jiyun ZHANG1..., Jun QIAN2 and Guangchao FAN1|Show fewer author(s)
Author Affiliations
  • 1College of Mechanical Engineering, Dalian University of Technology, Dalian6024, China
  • 2Dalian Institute of Technology Gaoyou Research Institute Co. Ltd, Gaoyou5600, China
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    DOI: 10.37188/OPE.20233121.3111 Cite this Article
    Zhifeng LOU, Hanping ZHANG, Jingjie ZHOU, Jiyun ZHANG, Jun QIAN, Guangchao FAN. Real-time spatial error measurement of two-dimensional linear module[J]. Optics and Precision Engineering, 2023, 31(21): 3111 Copy Citation Text show less
    Installation diagram of single-axis measuring system
    Fig. 1. Installation diagram of single-axis measuring system
    Measuring principle for four-degrees-of freedom
    Fig. 2. Measuring principle for four-degrees-of freedom
    Measuring principle for roll error
    Fig. 3. Measuring principle for roll error
    Two-dimensional linear module assembly
    Fig. 4. Two-dimensional linear module assembly
    Setting of two-dimensional linear module and low-order volume coordinate system
    Fig. 5. Setting of two-dimensional linear module and low-order volume coordinate system
    Error conversion diagram based on abbe-bryan principle
    Fig. 6. Error conversion diagram based on abbe-bryan principle
    Error calibration of plane mirror system
    Fig. 7. Error calibration of plane mirror system
    Comparison of X axial positioning error
    Fig. 8. Comparison of X axial positioning error
    Comparison of Z axial positioning error
    Fig. 9. Comparison of Z axial positioning error
    Devices for comparison of X axial straightness error
    Fig. 10. Devices for comparison of X axial straightness error
    Comparison results of X axial straightness error
    Fig. 11. Comparison results of X axial straightness error
    Devices for comparison of Z axial straightness error
    Fig. 12. Devices for comparison of Z axial straightness error
    Comparison results of Z axial straightness error
    Fig. 13. Comparison results of Z axial straightness error
    Device for comparison of X axial angular errors
    Fig. 14. Device for comparison of X axial angular errors
    Comparison results of X axial angular errors
    Fig. 15. Comparison results of X axial angular errors
    Device for comparison of Z axial angular errors
    Fig. 16. Device for comparison of Z axial angular errors
    Comparison results of Z axial angular errors
    Fig. 17. Comparison results of Z axial angular errors
    Comparison of X axial roll error
    Fig. 18. Comparison of X axial roll error
    Comparison of Z axial roll error
    Fig. 19. Comparison of Z axial roll error
    Schematic diagram of XZ plane diagonal position measurement
    Fig. 20. Schematic diagram of XZ plane diagonal position measurement
    Measuring devices of XZ plane diagonal position
    Fig. 21. Measuring devices of XZ plane diagonal position
    Comparison of diagonal position measurement error of XZ plane
    Fig. 22. Comparison of diagonal position measurement error of XZ plane
    Geometrical errorX-axisZ-axis
    Positioning errorδx(x)δz(z)
    Horizontal straightness errorδy(x)δx(z)
    Vertical straightness errorδz(x)δy(z)
    Yaw errorεz(x)εy(z)
    Pitch errorεy(x)εx(z)
    Roll errorεx(x)εz(z)
    Squareness errorαxz
    Table 1. Error expression of two-dimensional linear module
    Zhifeng LOU, Hanping ZHANG, Jingjie ZHOU, Jiyun ZHANG, Jun QIAN, Guangchao FAN. Real-time spatial error measurement of two-dimensional linear module[J]. Optics and Precision Engineering, 2023, 31(21): 3111
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