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Synchronous measurement and verification of position-independent geometric errors and position-dependent geometric errors in C-axis on mill-turn machine tools

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Abstract

This paper proposes a synchronous measurement system of four position-independent geometric errors (PIGEs) and two position-dependent geometric errors (PDGEs) for the rotary axis in five-axis machine tools. The measuring instruments used in this system include a touch-trigger probe and two standard calibration spheres. The main contribution of this paper simultaneously and directly measures four PIGEs and two PDGEs (axial and angular positioning errors) through only one measuring process. It is expected to improve the deficiencies of previous studies measuring PIGEs and PDGEs separately. The geometric errors of the C-axis of a mill-turn machine tool MT-540 were analyzed. The calculation process includes the establishment of the mathematical model of the machine and geometric error equations. The least squares method was used to solve the linear overdetermined system and calculate the values of the geometric errors. Before solving the geometric errors, the accuracy of the calculation process was verified by using the simulated method. The simulation results also confirm the feasibility of this measurement system. Then the data obtained from the experiments were used to calculate the geometric errors of the machine tool. During the experiments, the calibration procedure of the touch-trigger probe was calibrated. After the calibration procedure was completed, the mechanical coordinate values of the two standard calibration balls were measured. The geometric error equations were programmed on a computer, and the data of calibration spheres obtained from the experimental measurements were substituted into the program to calculate the four PIGEs and two PDGEs.

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Funding

Financial support was provided to this study by the Ministry of Science and Technology of Taiwan under Grant Nos. MOST 110–2221-E-006–126-MY3, 110–2218-E-006–031, 110–2218-E-002–038, and 111–2222-E-218–001.

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Authors and Affiliations

  1. Department of Mechanical Engineering, Yungkang Dist., Southern Taiwan University of Science and Technology, No. 1, Nan-Tai Street, Tainan City, 710301, Taiwan, Republic of China

    Yu-Ta Chen

  2. Department of Mechanical Engineering, National Cheng Kung University, Taiwan, No. 1, University Road, Tainan City, 70101, Taiwan

    Ting-Yu Lee & Chien-Sheng Liu

Authors
  1. Yu-Ta Chen
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  2. Ting-Yu Lee
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  3. Chien-Sheng Liu
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Contributions

Ting-Yu Lee: writing — original draft preparation, conceptualization, methodology, software, validation. Yu-Ta Chen: writing — reviewing and editing, methodology. Chien-Sheng Liu: writing — reviewing and editing, supervision, project administration.

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Correspondence to Chien-Sheng Liu.

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Chen, YT., Lee, TY. & Liu, CS. Synchronous measurement and verification of position-independent geometric errors and position-dependent geometric errors in C-axis on mill-turn machine tools. Int J Adv Manuf Technol 121, 5035–5048 (2022). https://doi.org/10.1007/s00170-022-09648-5

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  • DOI: https://doi.org/10.1007/s00170-022-09648-5

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