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The paper considers the peculiarities of occurrence of errors in face milling caused by elastic deformations of the LDTW system (lathe-device-tool-workpiece) under the influence of cutting forces. It is established that the calculation of errors caused by deformations of elements of the LDTW system should be carried out with the help of matrix stiffness characteristics. The values of the stiffness matrix elements (pliability) for linear displacements have been determined, and the most rigid is the caliper-rack joint. The ratio of diagonal elements of linear stiffness matrices of the subsystem of the part \(C_{xx}^p\) (rack, slide, table slide and their joints) and tool \(C_{xx}^t\) (vertical head, headstock, headstock-stand joint) is determined. It was found that the displacements caused by the axial pliability of the spindle assembly are negligibly small, and the displacements caused by the deformations of the spindle with the tool and the supporting system of the machine tool are approximately the same. The calculation scheme of the elastic system for face milling is developed and the equations of motion describing the basic unstable form of oscillations are drawn up. The stability regions of the elastic system closed to the cutting process by the Raus-Hurwitz criterion are plotted in the space of coefficients of the elastic system's coupling with the cutting process.

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Influence of Parameters of the Elastic System of a Wide-Universal Milling Machine on Vibrations and Machining Accuracy

  • 会议论文

  • 发表日期：

    2026年

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  • Andrii Orhiian,
  • Olexandr Badovskyi,
  • Alexandr Orgiyan,
  • Anna Balaniuk,
  • Vasyl Kolesnik

摘要

The paper considers the peculiarities of occurrence of errors in face milling caused by elastic deformations of the LDTW system (lathe-device-tool-workpiece) under the influence of cutting forces. It is established that the calculation of errors caused by deformations of elements of the LDTW system should be carried out with the help of matrix stiffness characteristics. The values of the stiffness matrix elements (pliability) for linear displacements have been determined, and the most rigid is the caliper-rack joint. The ratio of diagonal elements of linear stiffness matrices of the subsystem of the part \(C_{xx}^p\) (rack, slide, table slide and their joints) and tool \(C_{xx}^t\) (vertical head, headstock, headstock-stand joint) is determined. It was found that the displacements caused by the axial pliability of the spindle assembly are negligibly small, and the displacements caused by the deformations of the spindle with the tool and the supporting system of the machine tool are approximately the same. The calculation scheme of the elastic system for face milling is developed and the equations of motion describing the basic unstable form of oscillations are drawn up. The stability regions of the elastic system closed to the cutting process by the Raus-Hurwitz criterion are plotted in the space of coefficients of the elastic system's coupling with the cutting process.