Control of the milling mode of a thin-walled console plate by indirect indicators

Authors

DOI:

https://doi.org/10.15276/opu.1.71.2025.04

Keywords:

milling, rigidity, deflection, thin plate, processing trajectory

Abstract

The article presents a theoretical study of the change in the deflection of a thin rectangular plate depending on the position of the point
of application of force simulating the load from the cutter. The modeling was carried out for two typical processing trajectories  along the length
and along the width of the plate. The deflections and the corresponding stiffness values are calculated, the dependencies are obtained and their
features are interpreted. It is found that the adopted algorithm of the calculation is similar to the calculation algorithms used in existing CAE systems.
Based on this, it is proposed to use the data, in particular the plate deflection value, as an indirect indicator for controlling the milling mode. The
indirect indicators adopted as the initial ones are approximated as a power polynomial with a certain approximation reliability R2. It is proposed to
use the obtained polynomials to create the corresponding inversely proportional polynomials that determine one of the main indicators of the milling
mode  the linear feed of the spindle. The software implementation of the proposed solution was carried out using an extended G-code, which
suggests the use of the proposed solution for a wide range of CNC milling machines. Practical testing of the obtained software solutions was carried
out, confirming their full operability. The research results allow increasing the stability of the milling process when processing low-rigid cantileverfixed
parts on machines without an active control system, including active feedback “part  tool  machine”. This approach allows using cheaper
machines while obtaining acceptable quality of machined surfaces, which, in turn, determines a decrease in the cost of manufactured products and
increases production efficiency.

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References

Zelinskyi, S. A., & Tkach, A. Z. (2022). Alternative approach to managing the shaping of parts with complex spatial surfaces. Proceedings of Odessa Polytechnic University, 1(65), 30–39. DOI:https://doi.org/10.15276/opu.1.65.2022.03.

Tonkonohyi, V. M., Zelinskyi, S. A., Vodichev, V. A., Natalchyshyn, V. V., & Tkach, A. Z. (2017). Methods for implementing vibration suppression in machining parts on CNC machines. Proceedings of Odessa Polytechnic University, 1(51), 34–39. DOI: https://doi.org/10.15276/opu.1.51.2017.07.

Zelinskyi, S. A., Morozov, Yu. A., & Serebriy, Yu. A. (2015). Mathematical model of the contour milling process taking into account vibrations. Proceedings of Odessa Polytechnic University, 1(45), 28–33. DOI: https://doi.org/10.15276/opu.1.45.2015.06.

Vnukov, Yu. N., Germashev, A. I., Diadia, S. I., Kozlova, E. B., & Kamorkin, P. A. (2015). Development of a method for evaluating the level of self-oscillations during milling of thin-walled parts. Modern technologies in mechanical engineering, 10, 3–13.

Revenko, V. (2018). Development of two-dimensional theory of thick plates bending on the basis of general solution of Lamé equations. Bulletin of Ternopil National Technical University, 1 (89), 33–39.

Qin, Y., Song, Q., Liu, Z., & Shi, J. (2021). Dynamic Response Analysis of a Thin Plate with Partially Constrained Layer Damping Optimization under Moving Loads for Various Boundary Conditions. Applied Sciences, 11(7), 32–38.

Pini, V., Ruz, J. J., Kosaka, P. M., Malvar, O., Calleja, M., & Tamayo, J. (2016). How two-dimensional bending can extraordinarily stiffen thin sheets. Scientific Reports, 6, 29–36.

Kłosowski, P., & Szeptyński, P. (2025). Optimization and Analysis of Plates with a Variable Stiffness Distribution in Terms of Dynamic Properties. Materials, 18(9), 21–29.

Rodriguez, C. (2024). A midsurface elasticity model for a thin, nonlinear, gradient elastic plate. International Journal of Engineering Science, 197, 104–116.

Deliyianni, M., McHugh, K., Webster, J. T., & Dowell, E. (2022). Dynamic equations of motion for inextensible beams and plates. Archive of Applied Mechanics, 92, 1929–1952.

Kurpiel, S., Zagórski, K., Cieślik, J., Skrzypkowski, K., Brostow, W. Evaluation of the Vibration Signal during Milling Vertical Thin-Walled Structures from Aerospace Materials // Sensors. – 2023. – Vol. 23(14). – P. 63–71.

Sanz-Calle, M., Munoa, J., Iglesias, A., Lopez de Lacalle, L. N., & Dombovari, Z. (2021). Semi-analytical period-doubling chatter analysis in thin wall milling. MM Science Journal, 5, 5126–5133.

Llanos, I., Robles, A., Condón, J., Arizmendi, M., & Beristain, A. (2023). Deflection error modeling during thin-wall machining. Procedia CIRP, 117, 169–174.

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Published

2025-05-01

How to Cite

[1]
Tkach, A., Sydorenko, I., Prokopovych, I., Kurhan, V. and Toropenko, A. 2025. Control of the milling mode of a thin-walled console plate by indirect indicators. Proceedings of Odessa Polytechnic University. 1(71) (May 2025), 39–46. DOI:https://doi.org/10.15276/opu.1.71.2025.04.

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