Analysis of the Metrological Characteristics of a Coordinate Measuring Machine

Authors

  • L. V. Kolomiets State University of Intelligent Technologies and Telecommunications, Odesa
  • O. O. Shelukha Zhytomyr Polytechnic State University

DOI:

https://doi.org/10.31649/1997-9266-2025-179-2-8-14

Keywords:

coordinate measuring machine, metrological characteristics, measurement errors, measurement uncertainty, error correction, mathematical modeling, algorithmic compensation, geometric deviations, thermal deformations, measurement accuracy

Abstract

The article analyzes the metrological characteristics of a coordinate measuring machine (CMM) based on a systematic approach to assessing measurement errors and uncertainties. Coordinate measuring machines are key instruments in high-precision aerospace and mechanical engineering, as they enable to perform measurements of geometric parameters of products with high accuracy. However, measurement errors arise due to geometric, kinematic, thermal and random factors, which can significantly affect the accuracy of the obtained results.

The study examines main sources of CMM errors, including geometric deviations of the guideways, backlash, thermal deformations, measurement system errors, and algorithmic inaccuracies. The impact of these factors on the metrological characteristics of the machine, particularly on measurement accuracy and repeatability is analyzed. Mathematical approach to estimating measurement uncertainty is proposed, taking into account the influence of systematic and random errors.

Special attention is given to error correction using algorithmic methods and mathematical modeling. The possibilities of applying correction models to compensate geometric and thermomechanical CMM errors are described. The influence of probing parameters and software on the accuracy of coordinate measurements is also considered.

The results of this study can be effectively applied to refine and enhance methodologies for evaluating the metrological characteristics of CMMs, optimize error correction algorithms, and develop improved standards aimed at increasing the accuracy and reliability of measurements. The proposed approach not only contributes to enhancing the efficiency of CMM applications in various industrial and scientific tasks but also ensures their compliance with modern metrological requirements, thereby supporting advancements in precision measurement technologies.

Author Biographies

L. V. Kolomiets, State University of Intelligent Technologies and Telecommunications, Odesa

Dr. Sc. (Eng.), Professor, Professor of the Chair of Metrology, Quality and Standardization

O. O. Shelukha, Zhytomyr Polytechnic State University

Cand. Sc. (Eng.), Associate Professor of the Chair of Computer Engineering and Cybersecurity

References

J. Bosch “Coordinate Measuring Machines and Systems,” New York, Marcel Dekker, 1995.

H. Schwenke, W. Knapp, H. Haitjema, A. Weckenmann, R. Schmitt, and F. Delbressine, “Geometric Error Measurement and Compensation of Machines,” CIRP Annals, vol. 57, no. 2, pp. 660-675, 2008.

D. Flack, “Fundamentals of Coordinate Metrology,” National Physical Laboratory, London, 2001.

A. B. Forbes, “Measurement Uncertainty and Coordinate Metrology,” CIRP Journal of Manufacturing Science and Technology, vol. 2, no. 1, pp. 1-8, 2010.

А. М. Потеряйко, і О. С. Скиба, «Координатно-вимірювальні машини, сучасні способи сканування і зворотний інжиніринг,» Український метрологічний журнал, № 4, 2016.

A. Weckenmann, W. T. Estler, G. N. Peggs, and D. McMurtry, “The Influence of Measurement Strategy on the Uncertainty of CMM Measurements,” CIRP Annals-Manufacturing Technology, vol. 53, no. 2, pp. 657-684, 2004.

О. В. Кочеткова, «Розробка прецизійних координатно–вимірювальних машин з використанням нейронних мереж,» Вісник НТУУ «КПІ», Приладобудування, № 30, с. 78-83, 2005.

М. Чмуж, і Д. Сергеєв, «Алгоритм обрання 3D координатно-вимірювальної машини,» Метрологія для підприємства, № 2, 2021.

ISO 10360-x: “Coordinate Measuring Machines (CMM) — Acceptance and Reverification Tests,” International Organization for Standardization (ISO), Geneva, Switzerland.

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Published

2025-04-25

How to Cite

[1]
L. V. Kolomiets and O. O. Shelukha, “Analysis of the Metrological Characteristics of a Coordinate Measuring Machine”, Вісник ВПІ, no. 2, pp. 8–14, Apr. 2025.

Issue

No. 2 (2025)

Section

Automation and information-measuring equipment

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