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<p>The article considers issues associated with improving the volumetric accuracy of multi-axis machine tools. It is noted that the volumetric accuracy cannot be further increased at present by improving the design and production quality of machine tool parts; progress in this direction can be achieved through software-based motion compensation of operative members with the use of various mathematical models. Using a&#xa0;previously reported model for measuring and calculating the volumetric geometric error of machine tools, the authors developed a&#xa0;compensation procedure, which significantly improves the accuracy in moving the operative member of a&#xa0;three-axis metal cutting machine tool to a&#xa0;given point. The movements of the operative member are controlled using the astatic principle and the results of calculating the coordinates of trajectory points corrected according to the differential geometric model of volumetric error. The developed procedure is software-implemented and allows corrections to be made to the G‑code control program. The authors present the results of experiments on compensating the volumetric errors of a&#xa0;three-axis numerically controlled machine tool according to the proposed procedure. As a&#xa0;result of these experiments, conducted at the Moscow State University of Technology “STANKIN,” the geometric volumetric error of the machine tool was significantly reduced (by 90%). The developed procedure can be applied to improve the accuracy of metal cutting machine tools by creating postprocessors that use interferometric measurement results to calculate corrections to the coordinates set in the control system.</p>

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Increasing the positioning accuracy of the operative member in a three-axis metal cutting machine tool: Differential geometric model of volumetric errors

  • 期刊论文

  • 发表日期：

    2025年2月1日

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  • Sergey N. Grigoriev,
  • Dmitriy A. Masterenko,
  • Yaroslav I. Pimushkin,
  • Mikhail M. Stebulyanin

摘要

The article considers issues associated with improving the volumetric accuracy of multi-axis machine tools. It is noted that the volumetric accuracy cannot be further increased at present by improving the design and production quality of machine tool parts; progress in this direction can be achieved through software-based motion compensation of operative members with the use of various mathematical models. Using a previously reported model for measuring and calculating the volumetric geometric error of machine tools, the authors developed a compensation procedure, which significantly improves the accuracy in moving the operative member of a three-axis metal cutting machine tool to a given point. The movements of the operative member are controlled using the astatic principle and the results of calculating the coordinates of trajectory points corrected according to the differential geometric model of volumetric error. The developed procedure is software-implemented and allows corrections to be made to the G‑code control program. The authors present the results of experiments on compensating the volumetric errors of a three-axis numerically controlled machine tool according to the proposed procedure. As a result of these experiments, conducted at the Moscow State University of Technology “STANKIN,” the geometric volumetric error of the machine tool was significantly reduced (by 90%). The developed procedure can be applied to improve the accuracy of metal cutting machine tools by creating postprocessors that use interferometric measurement results to calculate corrections to the coordinates set in the control system.