A novel multi-probe method for separating spindle radial error from artifact roundness error

  • Ye Chen
  • Xiangsong Zhao
  • Weiguo Gao
  • Gaofeng Hu
  • Shizhen Zhang
  • Dawei Zhang


Conventional three-probe method of artifact roundness and spindle error measurements is subjected to the trouble of harmonic suppression, which is also mathematically complicated due to complex transformation processing. A novel three-probe method by solving system of multivariable equation (SSME) method is presented in this paper. The presented method simplifies the mathematical processing and has good robustness to the measurement angles which are difficult for conventional three-probe method. This paper gives mathematical models, detailed theoretical derivations, and numerical simulations. Selection criteria of the optimal measurement angle combinations can be determined in accordance with rank and condition number of the coefficient matrix. Then, to validate the feasibility and repeatability of the proposed method, experimental measurements are performed on a vertical machine tool spindle by using nanometer-resolution capacitive displacement sensors, high-precision indexing table, and professional data acquisition system. Artifact roundness error and spindle radial error are tested to validate separation accuracy by specialized instruments. The comparisons demonstrate that the proposed method has good feasibility and repeatability (the maximum deviations of spindle error and roundness error are 9.62 and 3.86%). SSME method, due to its simplicity in computation and the uniqueness of the solution provided, is more suitable to separate spindle radial error from the artifact roundness error.


Machine tool Spindle error Roundness error  Multi-probe error separation method 


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Copyright information

© Springer-Verlag London 2017

Authors and Affiliations

  • Ye Chen
    • 1
  • Xiangsong Zhao
    • 1
  • Weiguo Gao
    • 1
  • Gaofeng Hu
    • 1
  • Shizhen Zhang
    • 2
  • Dawei Zhang
    • 1
  1. 1.Tianjin Key Laboratory of Equipment Design and Manufacturing Technology, School of Mechanical EngineeringTianjin UniversityTianjinChina
  2. 2.Beijing Machine Tool Research InstituteBeijingChina

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