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Efficient compensation method of 5-axis machine tools based on a novel representation of the volumetric error

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Abstract

Geometric error compensation is important in improving the machining accuracy of five-axis machine tools. To improve the efficiency of real-time compensation, this paper proposes a novel compensation method based on a novel representation of the volumetric error. First, 5 error parameters in the workpiece-tool coordinate system are employed to describe the volumetric error, simplifying the actual reverse kinematics from an overdetermined problem to a well-determined problem. Second, the actual inverse kinematics solution, neglecting the position-varying feature of geometric errors, is derived by a simple operation. Finally, the actual inverse kinematics solution considering the position-varying feature of geometric errors is derived based on a linear approximation of geometric errors at the command position nearby. Compared with traditional compensation methods, the proposed method could guarantee higher efficiency since it has a concise analytical expression. Simulation and experiment results are then illustrated to validate the effectiveness of the proposed method.

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Funding

This work was supported by the Natural Science Foundation of Shaanxi Province (2021JM010), the Natural Science Foundation of Suzhou (SYG202018), and thr Fundamental Research Funds for the Central Universities (xzy012019007).

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Authors and Affiliations

  1. School of Mechanical Engineering, Xi’an Jiaotong University, West Xianning Road 28, Xi’an, 710049, China

    Hongdong Cong, Jun Zha & Yaolong Chen

  2. Xi’an Jiaotong University Suzhou Institute, Ren Ai Road 99, Suzhou, 215123, China

    Jun Zha

Authors
  1. Hongdong Cong
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  2. Jun Zha
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Contributions

Hongdong Cong: Validation, investigation, and writing—original draft. Jun Zha: Funding acquisition. Yaolong Chen: Supervision and project administration.

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Correspondence to Yaolong Chen.

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Cong, H., Zha, J. & Chen, Y. Efficient compensation method of 5-axis machine tools based on a novel representation of the volumetric error. Int J Adv Manuf Technol 126, 1109–1119 (2023). https://doi.org/10.1007/s00170-023-11117-6

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