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Research on Error Compensation of CNC Machine Tool Based on Multibody System Kinematics.

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Title: Research on Error Compensation of CNC Machine Tool Based on Multibody System Kinematics.
Authors: YU, Lei1 jd_yl@ccit.edu.cn
Source: Mechanika. 2026, Vol. 32 Issue 2, p160-165. 6p.
Subjects: Multibody systems, Numerical control of machine tools, Machine parts, Coordinate transformations, Machining, Metrology, Laser interferometers
Abstract: Based on the kinematics theory of multibody systems, this paper investigates the error compensation problem of CNC machine tools. By abstracting the true of the CNC machine tool as a multibody system composed of kinematic pairs and components, a complete spatial error model from drive input to tool execution is constructed using homogeneous coordinate transformation MCS, and the generation, accumulation, and coupling mechanisms of various geometric errors are analyzed. The paper details the establishment of coordinate systems in multibody systems, the homogeneous coordinate method for and vectors, and the construction of zero-order motion equations. On this basis, a universal geometric error model with dual branches of "workpiece-tool" and "tool-machine tool" is established, expressions for position and orientation errors are derived, and error compensation condition equations for achieving precision machining are proposed. In preliminary experimental verification, the errors of the Z-axis of a VMC-500 machine tool were measured and compensated using a Renishaw ML10 dual-frequency laser interferometer. The results indicate that the compensated error variance decreased from 6.4534 and 5.8352 to 3.061, the fluctuation range of the error was narrowed, and the method demonstrated potential effectiveness and engineering applicability. [ABSTRACT FROM AUTHOR]
Copyright of Mechanika is the property of Mechanika and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract. (Copyright applies to all Abstracts.)
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DbLabel: Engineering Source
An: 195088681
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  Data: Research on Error Compensation of CNC Machine Tool Based on Multibody System Kinematics.
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  Data: <searchLink fieldCode="AR" term="%22YU%2C+Lei%22">YU, Lei</searchLink><relatesTo>1</relatesTo><i> jd_yl@ccit.edu.cn</i>
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  Data: <searchLink fieldCode="JN" term="%22Mechanika%22">Mechanika</searchLink>. 2026, Vol. 32 Issue 2, p160-165. 6p.
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  Data: <searchLink fieldCode="DE" term="%22Multibody+systems%22">Multibody systems</searchLink><br /><searchLink fieldCode="DE" term="%22Numerical+control+of+machine+tools%22">Numerical control of machine tools</searchLink><br /><searchLink fieldCode="DE" term="%22Machine+parts%22">Machine parts</searchLink><br /><searchLink fieldCode="DE" term="%22Coordinate+transformations%22">Coordinate transformations</searchLink><br /><searchLink fieldCode="DE" term="%22Machining%22">Machining</searchLink><br /><searchLink fieldCode="DE" term="%22Metrology%22">Metrology</searchLink><br /><searchLink fieldCode="DE" term="%22Laser+interferometers%22">Laser interferometers</searchLink>
– Name: Abstract
  Label: Abstract
  Group: Ab
  Data: Based on the kinematics theory of multibody systems, this paper investigates the error compensation problem of CNC machine tools. By abstracting the true of the CNC machine tool as a multibody system composed of kinematic pairs and components, a complete spatial error model from drive input to tool execution is constructed using homogeneous coordinate transformation MCS, and the generation, accumulation, and coupling mechanisms of various geometric errors are analyzed. The paper details the establishment of coordinate systems in multibody systems, the homogeneous coordinate method for and vectors, and the construction of zero-order motion equations. On this basis, a universal geometric error model with dual branches of "workpiece-tool" and "tool-machine tool" is established, expressions for position and orientation errors are derived, and error compensation condition equations for achieving precision machining are proposed. In preliminary experimental verification, the errors of the Z-axis of a VMC-500 machine tool were measured and compensated using a Renishaw ML10 dual-frequency laser interferometer. The results indicate that the compensated error variance decreased from 6.4534 and 5.8352 to 3.061, the fluctuation range of the error was narrowed, and the method demonstrated potential effectiveness and engineering applicability. [ABSTRACT FROM AUTHOR]
– Name: AbstractSuppliedCopyright
  Label:
  Group: Ab
  Data: <i>Copyright of Mechanika is the property of Mechanika and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract.</i> (Copyright applies to all Abstracts.)
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      – Type: doi
        Value: 10.5755/j02.mech.43712
    Languages:
      – Code: eng
        Text: English
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      Pagination:
        PageCount: 6
        StartPage: 160
    Subjects:
      – SubjectFull: Multibody systems
        Type: general
      – SubjectFull: Numerical control of machine tools
        Type: general
      – SubjectFull: Machine parts
        Type: general
      – SubjectFull: Coordinate transformations
        Type: general
      – SubjectFull: Machining
        Type: general
      – SubjectFull: Metrology
        Type: general
      – SubjectFull: Laser interferometers
        Type: general
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      – TitleFull: Research on Error Compensation of CNC Machine Tool Based on Multibody System Kinematics.
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            – D: 01
              M: 03
              Text: 2026
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              Y: 2026
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            – TitleFull: Mechanika
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