10.14489/td.2023.12.pp.046-053

2023, 12 December

DOI: 10.14489/td.2023.12.pp.046-053

Pimushkin Ya. I., Stebulyanin M. M., Masterenko D. A.
TOWARDS THE PROBLEM OF LASER CORRECTION OF VOLUMETRIC ERROR OF MULTI-AXIS MACHINES WITH GANTRY KINEMATICS
(pp. 46-53)

Abstract. A significant part of the requirements for the quality of products of modern machine-building production is the requirements for the accuracy of dimensions, shape, and location of surfaces. To meet the everincreasing requirements, all the ways of increasing of technological equipment accuracy must be used, including the errors correction via control systems. The article considers the problem of correction of volumetric error of technological and measuring machines with portal kinematics. According to the proposed approach, the measurements of volumetric errors in the machine working space is to be fulfilled, and then the coordinate transformation calculated to provide the corrected values of target coordinates to the machine control system. The equations of coordinate transformation are derived. The results of the experimental research of the proposed approach are also given. The coordinates of the working tool were measured with the laser-tracker, and the specialized software calculated the coordinate transformation from the measurements. It is shown that the volumetric error of a machine can be reduced by 60 % and more.

Keywords: volumetric accuracy, laser tracker, gantry system, calibration matrix, cosine guides, tangential vector.

+ - About the Authors Click to collapse

Ya. I. Pimushkin, M. M. Stebulyanin, D. A. Masterenko (MSTU «STANKIN», Moscow, Russia) E-mail: Данный адрес e-mail защищен от спам-ботов, Вам необходимо включить Javascript для его просмотра. , Данный адрес e-mail защищен от спам-ботов, Вам необходимо включить Javascript для его просмотра. , Данный адрес e-mail защищен от спам-ботов, Вам необходимо включить Javascript для его просмотра.

+ - References Click to collapse

1. Grigor'ev S. N., Teleshevskiy V. I. (2011). Problems of measurement in technological processes of shaping. Measurement Techniques, 54(7), 744 – 749.

2. Grigoriev S. N., Masterenko D. A., Teleshevskiy V. I., Emelyanov P. N. (2013). Contemporary State and Outlook for Development of Metrological Assurance in the Machine-building Industry. Measurement Techniques, 55(11), 1311 – 1315.
3. Grigoriev S. N., Martinov G. M. (2012). Scalable Open Cross-platform Kernel of PCNC System for Multi-axis Machine Tool. Procedia CIRP, 1(1), 238 – 243.
4. Grigoriev S. N., Martinov G. M. (2016). An ARM-based Multichannel CNC Solution for Multitasking Turning and Milling Machines. Procedia CIRP, 46, 525 – 528.
5. McKeown P. A., Loxham J. (1973). Some Aspects of the Design of High Precision Measuring Machines. CIRP Annals, 22(1), 139 – 140.
6. Serkov N. A. (2012). Methods and means of measuring volumetric accuracy of multi-axis CNC machines. Vestnik nauchno-tekhnicheskogo razvitiya, 55(3), 26 – 46. [in Russian language]
7. Schwenke H., Knapp W., Weckenmann A. еt. аl. (2008). Geometric Error Management and Compensation of Machines – an Update. CIRP Annals, 57(2), 660 – 675.
8. Schwenke H., Franke M., Hannaford J. (2005). Error Mapping of CMMs and Machine Tools by a Single Tracking Interferometer. CIRP Annals, 54(1), 475 – 478.
9. Lamikiz L. N., López de Lacalle O., Ocerin D., Díez E. Maidagan. (2008). The Denavit and Hartenberg Approach Applied to Evaluate the Consequences in the Tool Tip Position of Geometrical Errors in Five-axis Milling Centres. International Journal of Advanced Manufacturing Technology, 37, 122 – 139.
10. Rahman M., Heikkala J., Lappalainen K. (2000). Modeling Measurement and Error Compensation of Multi-axis Machine Tools. International Journal of Machine Tools & Manufacture, 40, 1535 – 1546.
11. Okafor A. C., Ertekin Y. M. (2000). Derivation of Machine Tool Error Models and Error Compensation Procedure for Three Axes Vertical Machining Center using Rigid Body Kinematics. International Journal of Machine Tools & Manufacture, 40(8), 1199 – 1213.
12. Lin Y., Shen Y. (2003). Modelling of Fiveaxis Machine Tool Metrology Models using the Matrix Summation Approach. International Journal of Advanced Manufacturing Technology, 21, 243 – 248.
13. Ahn K. Gee, Cho D. W. (2000). An Analysis of the Volumetric Error Uncertainty of a Three-axis Machine Tool by Beta Distribution. International Journal of Machine Tools & Manufacture, 40, 2235 – 2248.
14. Cheng Q., Feng Q., Liu Z. et al. (2015). Fluctuation Prediction of Machining Accuracy for Multi-axis Machine Tool Based on Stochastic Process Theory. Proceedings of the Institution of Mechanical Engineers. Pt C. Journal of Mechanical Engineering Science, 229(14), 2534 – 2550.
15. Teleshevskiy V. I., Sokolov V. A. (2015). Automatic Correction of Three-dimensional Geometric Errors in Computer Controlled Measurement and Technological Systems. Measurement Techniques, 58(7), 747 – 751.
16. Wang Y., Guo X., Kim J. et al. (2023). A Single Camera Unit-based Three-dimensional Surface Imaging Technique. The International Journal of Advanced Manufacturing Technology, 127, 4833 – 4843. [in Russian language] DOI: https://doi.org/10.1007/s00170-023-11866-4
17. Xuemin Zhong, Hongqi Liu, Hao Chang, Bin Li. (2018). An Identification Method of Squareness Errors Based on Volumetric Error Model in Machine Tools. International Journal of Technology and Engineering Studies, 4(4), 132 – 142. DOI: https://dx.doi.org/10.20469/ijtes. 4.10002-4
18. Jun Zha, Tao Wang, Linhui Li, Yaolong Chen. (2020). Volumetric Error Compensation of Machine Tool using Laser Tracer and Machining Verification. The International Journal of Advanced Manufacturing Technology, 108, 2467 – 2481. DOI: https://doi.org/10.1007/s00170-020-05556-8
19. Liu Y., Wan M., Xing W. J., Zhang W. H. (2018). Generalized Actual Inverse Kinematic Model for Compensating Geometric Errors in Five-axis Machine Tools. The International Journal of Mechanical Sciences, 145, 299 – 317. DOI: https://doi.org/10.1016/j.ijmecsci.2018.07.022
20. Pimushkin Ya. I., Stebulyanin M. M. (2023). Correction of volumetric accuracy of the portal system using a laser tracker. Vestnik MGTU «STANKIN», 64(1), 80 – 86. [in Russian language]
21. Masterenko D. A. (2021). Construction of a mathematical model of geometric volumetric accuracy of multi-coordinate technological and measuring machines based on the concepts of differential geometry. Vestnik TOGU, 63(4). [in Russian language]
22. Teleshevskiy V. I., Sokolov V. A., Pimushkin Ya. I. (2018). Improving the accuracy of multi-coordinate technological and measuring systems based on laser correction of volumetric geometric errors. Vestnik MGTU «STANKIN», 47(4), 99 – 104. [in Russian language]

+ - Purchase digital version of a single article Click to collapse

This article is available in electronic format (PDF).

The cost of a single article is 500 rubles. (including VAT 20%). After you place an order within a few days, you will receive following documents to your specified e-mail: account on payment and receipt to pay in the bank.

After depositing your payment on our bank account we send you file of the article by e-mail.

To order articles please copy the article doi:

10.14489/td.2023.12.pp.046-053

and fill out the form