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Research on the method of determining the best measuring area for the circular surface survey

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Abstract

The measurement of traditional workpiece geometry is based on the measurement results of points, lines, surfaces, balls, and other elements as objects. The best measurement area in the measurement space of the on-machine measurement system for different typical measurement objects is determined to achieve a high-precision, efficient measurement. This study is oriented to the circular surface measurement object, establishes the integrated error model and circular surface measurement error model of the on-machine measurement system, and analyzes the circular surface measurement error distribution law in the designated measurement space. Beetle antennae search particle swarm optimization algorithm (BAS-PSO) is proposed to solve the optimal measurement area for the established theoretical objective model of the optimal measurement area. The optimization effect is compared between BAS-PSO and the ACO, PSO, FOA, SA-PSO (simulated annealing particle swarm optimization), and IA-PSO (immune particle swarm optimization) algorithms. The experiment of determining the best measurement area of the on-machine measurement system based on circular surface measurement is conducted, simulated, and calculated with the circular surface measurement error model. The comparative analysis of the best measurement area is obtained by algorithm optimization. Experimental results show that the BAS-PSO algorithm is not caught in the local optimum, its convergence speed and stability are better than those of the five other algorithms, and it is more suitable for solving the best measurement area of the circular surface measurement. The circular surface error measurement results and simulation calculations overlap with the best measurement area obtained by the algorithm optimization. The space of the best area is 356.061 mm ≤ X ≤ 365.061 mm, −109.727 mm ≤ Y ≤ −100.727 mm, and −263 mm ≤ Z ≤ −253 mm. The measured maximum error minimum value of this area is 5.3 μm. The minimum value of the maximum error obtained by the simulation calculation of the circular surface measurement is 4.1 μm, and the minimum value of the maximum error obtained by the algorithm optimization is 8.8 μm. The validity and practicability of the proposed method for determining the best measurement area of the three-axis machine tool on-machine measurement system are verified.

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Availability of data and materials

The datasets used or analyzed during the current study are available from the corresponding author on reasonable request.

Code availability

The raw/processed data required to reproduce these findings cannot be shared at this time as the data also forms part of an ongoing study.

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Funding

This work was supported by the Key Research and Development Plan of Anhui Province under Grant No. 202004a07020046, National Natural Science Foundation of China under Grant No. 51675004, and Key Projects of Anhui University Natural Science Research Project under Grant No. KJ2019A0844.

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Authors and Affiliations

  1. School of Mechanical Engineering, Anhui University of Science and Technology, Huainan, 232001, People’s Republic of China

    Hongtao Yang, Qun Ma, Yu Zhang, Li Li & Mei Shen

  2. State Key Laboratory of Mining Response and Disaster Prevention and Control in Deep Coal Mines, Anhui University of Science and Technology, Huainan, 232001, People’s Republic of China

    Hongtao Yang, Qun Ma, Yu Zhang, Li Li & Mei Shen

  3. School of Advanced Manufacturing Engineering, Hefei University, Hefei, 230000, People’s Republic of China

    Jun Wang

Authors
  1. Hongtao Yang
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  2. Qun Ma
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  3. Yu Zhang
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  4. Li Li
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  5. Mei Shen
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  6. Jun Wang
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Contributions

The author’ contributions are as follows: Hongtao Yang was in charge of the whole trial; Qun Ma wrote the manuscript; Yu Zhang, Li Li, and Mei Shen are responsible for error measurement and data processing. Jun Wang is responsible for checking and revising the format of the paper. All authors read and approved the final manuscript.

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Correspondence to Hongtao Yang.

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Yang, H., Ma, Q., Zhang, Y. et al. Research on the method of determining the best measuring area for the circular surface survey. Int J Adv Manuf Technol 118, 3457–3475 (2022). https://doi.org/10.1007/s00170-021-08075-2

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  • DOI: https://doi.org/10.1007/s00170-021-08075-2

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