Shape parameter optimisation of elliptic tool paths in trochoidal slot milling

Shape parameter optimisation of elliptic tool paths in trochoidal slot milling

Adam JACSO, Viktor TANCSA

Abstract. Trochoidal milling is a highly effective machining strategy for hard-to-reach areas like corners and slots. This strategy was initially developed using circular arc and cycloid-based tool paths. Recently, elliptic trochoidal tool path patterns have emerged as an even more efficient alternative. However, this advancement raises new questions as the analytical functions previously used to describe the cutter engagement will no longer be valid along the elliptic path. Additionally, changing the ellipse aspect ratio can completely alter the nature of tool load development. While there are examples of tool load modelling for the elliptic trochoidal strategy in scientific literature, there is still a need to directly connect these methods with productivity aspects. This study introduces a newly developed optimisation method that achieves two goals: (1) specifying the maximum permissible trochoidal step for a desired cutter engagement limit and (2) determining the optimal ellipse aspect ratio to achieve maximum material removal rate while respecting the boundary conditions. The presented optimisation method was validated by both experimental and simulation results. Although this algorithm is currently only applicable to trochoidal machining of straight slots, it has the potential to be extended to general shapes in the future.

Keywords
Trochoidal Milling, Elliptic Tool Path, Material Removal Rate, Cutter Engagement, Tool Path Optimisation

Published online 12/10/2024, 8 pages
Copyright © 2024 by the author(s)
Published under license by Materials Research Forum LLC., Millersville PA, USA

Citation: Adam JACSO, Viktor TANCSA, Shape parameter optimisation of elliptic tool paths in trochoidal slot milling, Materials Research Proceedings, Vol. 46, pp 151-158, 2024

DOI: https://doi.org/10.21741/9781644903377-20

The article was published as article 20 of the book Innovative Manufacturing Engineering and Energy

Content from this work may be used under the terms of the Creative Commons Attribution 3.0 license. Any further distribution of this work must maintain attribution to the author(s) and the title of the work, journal citation and DOI.

References
[1] M. Otkur and I. Lazoglu, ‘Trochoidal milling’, Int. J. Mach. Tools Manuf., vol. 47, 2007. https//doi.org/10.1016/j.ijmachtools.2006.08.002
[2] A. Jacso, G. Matyasi, and T. Szalay, ‘Trochoidal tool path planning method for slot milling with constant cutter engagement’, Lect. Notes Mech. Eng., 2020. https//doi.org/10.1007/978-981-33-4320-7_59
[3] A. Jacso, B. S. Sikarwar, R. K. Phanden, R. K. Singh, J. Ramkumar, and G. N. Sahu, ‘Optimisation of tool path shape in trochoidal milling using B-spline curves’, Int. J. Adv. Manuf. Technol., vol. 121, 2022. https//doi.org/10.1007/s00170-022-09527-z
[4] M. Rauch, E. Duc, and J.-Y. Hascoet, ‘Improving trochoidal tool paths generation and implementation using process constraints modelling’, Int. J. Mach. Tools Manuf., vol. 49, 2009. https//doi.org/10.1016/j.ijmachtools.2008.12.006
[5] A. Jacso, Z. Lado, R. K. Phanden, B. S. Sikarwar, and R. K. Singh, ‘Bézier curve-based trochoidal tool path optimization using stochastic hill climbing algorithm’, Mater. Today Proc., 2022. https//doi.org/10.1016/j.matpr.2022.12.056
[6] C. García-Hernández et al., ‘Trochoidal Milling Path with Variable Feed. Application to the Machining of a Ti-6Al-4V Part’, Mathematics, vol. 9, 2021. https//doi.org/10.3390/math9212701.
[7] A. Jacso, T. Szalay, B. S. Sikarwar, R. K. Phanden, R. K. Singh, and J. Ramkumar, ‘Investigation of conventional and ANN-based feed rate scheduling methods in trochoidal milling with cutting force and acceleration constraints’, Int. J. Adv. Manuf. Technol., vol. 127, 2023. https//doi.org/10.1007/s00170-023-11506-x
[8] X. Huang, S. Wu, L. Liang, X. Li, and N. Huang, ‘Efficient trochoidal milling based on medial axis transformation and inscribed ellipse’, Int. J. Adv. Manuf. Technol., vol. 111, 2020. https//doi.org/10.1007/s00170-020-06172-2