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An improved machine tool volumetric error compensation method based on linear and squareness error correction method

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Abstract

Error compensation is one of effective and economical means to improve the machining accuracy of machine tools. The measurement accuracy of kinematic errors has great impact on the accuracy of machine tool error modeling. Some measurement errors are inevitably generated due to the distortion of the slide table and the limit of local measuring stroke. To solve these problems, an improved machine tool volumetric error compensation method is proposed in this paper, based on linear and squareness error correction method. The linear errors, including position errors and straightness errors, are corrected by considering the distance effect between optical mirror groups and the surface of worktable. The squareness errors are corrected through modifying local squareness errors measured with double ball bar to global squareness errors, with the aid of straightness errors measured with multi-laser calibrator. Then volumetric errors are obtained based on multi-body system theory, and volumetric diagonal errors are measured with laser interferometer. It is illustrated that the bidirectional systematic deviation of positioning of four volumetric diagonals reduced about 81.3%, 35.2%, 29.2%, and 4.5% respectively by using this improved machine tool volumetric error compensation method, and it is of obvious advantages in contrast with traditional compensation method with direct measurement data. The improved error compensation method proposed in this paper has universal applicability and has great significance on machine tool accuracy improvement.

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Abbreviations

LSECM:

Linear and squareness error correction method

DMM:

Direct measurement method

MLC:

Multi-laser calibrator

PSD:

Position sensitive detector

δx(X):

Positioning error of X axis

δy(Y):

Positioning error of Y axis

δz(Z):

Positioning error of Z axis

δy(X):

Straightness error of X axis in Y direction

δz(X):

Straightness error of X axis in Z direction

δx(Y):

Straightness error of Y axis in X direction

δz(Y):

Straightness error of Y axis in X direction

δx(Z):

Straightness error of Z axis in X direction

δy(Z):

Straightness error of Z axis in Y direction

εx(X):

Roll error of X axis

εy(X):

Pitch error of X axis

εz(X):

Yaw error of X axis

εy(Y):

Roll error of X axis

εx(Y):

Pitch error of Y axis

εz(Y):

Yaw error of Y axis

εz(Z):

Roll error of Z axis

εx(Z):

Pitch error of Z axis

εy(Z):

Yaw error of Z axis

α xy :

XY plane squareness error

β yz :

YZ plane squareness error

γ xz :

XZ plane squareness error

Δe x :

Volumetric error in X direction

Δe y :

Volumetric error in Y direction

Δe z :

Volumetric error in Z direction

\( {L}_{w-o}^{p_i} \) :

Distance from worktable to interference mirror in i-th error measurement

r m :

Length of squareness measuring rod

g β mn :

Pragmatic squareness error of MN plane

\( {{}^l\beta}_{mn}^{q,p} \) :

The measured squareness error of MN plane between measuring position q and p

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Acknowledgments

We thank the reviewers’ comments.

Funding

The authors received the supports of the fund of National Nature Science Foundation of China No. 51775375, National Science and Technology Major Project of China under Grant No. 2018ZX04033001 and No. 2019ZX04005001, and the fund of Nature Science Foundation of Tianjin No. 17JCZDJC40300, No.18JCZDJC38700.

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Authors and Affiliations

  1. Key Laboratory of Mechanism Theory and Equipment Design of Ministry of Education, Tianjin University, Tianjin, 300354, China

    Weiguo Gao, Lingtao Weng, Guanwei Zhang, Yingjie Zheng & Jinhe Li

  2. College of Management and Economics, Tianjin University, Tianjin, 300072, China

    Jinyi Zhang

  3. School of Marine Science and Technology, Tianjin University, Tianjin, 300072, China

    Wenjie Tian

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  1. Weiguo Gao
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  2. Lingtao Weng
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  4. Wenjie Tian
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  5. Guanwei Zhang
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  6. Yingjie Zheng
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  7. Jinhe Li
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Correspondence to Lingtao Weng or Wenjie Tian.

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Gao, W., Weng, L., Zhang, J. et al. An improved machine tool volumetric error compensation method based on linear and squareness error correction method. Int J Adv Manuf Technol 106, 4731–4744 (2020). https://doi.org/10.1007/s00170-020-04965-z

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  • DOI: https://doi.org/10.1007/s00170-020-04965-z

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