Roundness Error Prediction with a Volumetric Error Model Including Spindle Error Motions of a Machine Tool

J. P. Choi, S. J. Lee, H. D. Kwon

Research output: Contribution to journalArticle

25 Citations (Scopus)


This paper proposes a modified volumetric error model that includes spindle error motions as well as geometric errors. The model is constructed using rigid-body kinematics and homogeneous transformation matrices and an additional error matrix describing spindle error motions is included. The suggested model predicts the positioning errors at a given axis position as a function of both the axis position and the engaged spindle rotation angle. Two circular interpolation tests (inner and outer circle of the same radius) are simulated and the machined part profiles are predicted. To verify the simulation results, machining tests are performed according to the ISO 10791-7 standard. The error model with spindle errors shows a better agreement, between the simulated and measured roundness errors, than, the simple geometric model. It can be seen that the geometric errors determine the basic part profiles and the spindle errors change the basic profiles according to the magnitude of the errors and the spindle rotation angle.

Original languageEnglish
Pages (from-to)923-928
Number of pages6
JournalInternational Journal of Advanced Manufacturing Technology
Issue number12
Publication statusPublished - 2003 Oct 21


All Science Journal Classification (ASJC) codes

  • Control and Systems Engineering
  • Software
  • Mechanical Engineering
  • Computer Science Applications
  • Industrial and Manufacturing Engineering

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