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

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Bibliographic Details
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]
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Database:	Engineering Source

Description
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]
ISSN:	13921207
DOI:	10.5755/j02.mech.43712