Abstract
Free-form milling is a flexible gear machining method that allows the use of general disc cutters to machine various gear types on a 5-axis machine tool. This paper proposes a two-dimensional simulation method for free-form milling of cylindrical gears with disc cutters. A mathematical model for free-form milling of cylindrical gears with disc cutters is constructed. By analyzing the spatial positional relationships between the cutter and the workpiece, the instantaneous contact line is derived and projected onto the gear end face; then, the intersection of the projected curves is used to obtain the final profile. This calculation method enables rapid simulation of the actual cutting conditions on the gear end face, which helps determine the machining interference and analyze the tooth profile accuracy during the gear machining process. The method proposed in this paper can also be used to analyze the sensitivity of geometric position errors of the machine tool axes.
Similar content being viewed by others
Availability of data and material
The authors confirm that the data supporting the findings of this study are available within the article.
Code availability
Not applicable.
References
Gupta K, Laubscher RF, Davim JP, Jain NK (2016) Recent developments in sustainable manufacturing of gears: a review. J Clean Prod 112:3320–3330. https://doi.org/10.1016/j.jclepro.2015.09.133
Sabkhi N, Pelaingre C, Barlier C, Moufki A, Nouari M (2015) Characterization of the cutting forces generated during the gear hobbing process: spur gear. Procedia CIRP 31:411–416. https://doi.org/10.1016/j.procir.2015.03.041
Chen XS, Zhang DL, Yuan SM, Zhang X, Chen JY, Du RX (2013) A precision CNC turn-mill machining center with gear hobbing capability. Appl Mech Mater 300:1241–1249. https://doi.org/10.4028/www.scientific.net/AMM.300-301.1241
Klocke F, Brumm M, Staudt J (2014) Quality and surface of gears manufactured by free form milling with standard tools. Int Gear Conf 2014:26–28. https://doi.org/10.1533/9781782421955.506
Guo E, Ren N, Liu Z, Zheng X, Zhou C (2019) Study on tooth profile error of cylindrical gears manufactured by flexible free-form milling. Int J Adv Manuf Technol 103:4443–4451. https://doi.org/10.1007/s00170-019-03894-w
Zhu L, Zheng G, Ding H (2009) Formulating the swept envelope of rotary cutter undergoing general spatial motion for multi-axis NC machining. Int J Mach Tools Manuf 49:199–202. https://doi.org/10.1016/j.ijmachtools.2008.10.004
Zhu L, Ding H, Xiong Y (2012) Simultaneous optimization of tool path and shape for five-axis flank milling. Comput Aided Des 44:1229–1234. https://doi.org/10.1016/j.cad.2012.06.003
Fromentin G, Döbbeler B, Lung D (2015) Computerized simulation of interference in thread milling of non-symmetric thread profiles. Procedia CIRP 31:496–501. https://doi.org/10.1016/j.procir.2015.03.018
Can A, Unuvar A (2010) A novel iso-scallop tool-path generation for efficient five-axis machining of free-form surfaces. Int J Adv Manuf Technol 51:1083–1098. https://doi.org/10.1007/s00170-010-2698-z
Wu B, Zhang D, Luo M, Zhang Y (2013) Collision and interference correction for impeller machining with non-orthogonal four-axis machine tool. Int J Adv Manuf Technol 68:693–700. https://doi.org/10.1007/s00170-013-4791-6
Zhou Y, Chen ZC, Tang J, Liu S (2017) An innovative approach to NC programming for accurate five-axis flank milling of spiral bevel or hypoid gears. Comput Aided Des 84:15–24. https://doi.org/10.1016/j.cad.2016.11.003
Luo S, Liao L, Wang J, Wang Y, Yi J (2017) Study on inspection and avoidance of interferences in five-axis end milling of cycloidal gears. Int J Adv Manuf Technol 91:3307–3314. https://doi.org/10.1007/s00170-017-0002-1
Dimitriou V, Antoniadis A (2009) CAD-based simulation of the hobbing process for the manufacturing of spur and helical gears. Int J Adv Manuf Technol 41:347–357. https://doi.org/10.1007/s00170-008-1465-x
Antoniadis A (2012) Gear skiving—CAD simulation approach. Comput Aided Des 44:611–616. https://doi.org/10.1016/j.cad.2012.02.003
Litvin FL, Fuentes A (2004) Gear geometry and applied theory. Cambridge University Press
Wu X (1982) Principals of gear meshing. Machinery Industry Publishing House, Beijing, China
Efstathiou C, Tapoglou N (2021) A novel CAD-based simulation model for manufacturing of spiral bevel gears by face milling. CIRP J Manuf Sci Technol 33:277–292. https://doi.org/10.1016/j.cirpj.2021.04.004
Tapoglou N (2019) Calculation of non-deformed chip and gear geometry in power skiving using a CAD-based simulation. Int J Adv Manuf Technol 100:1779–1785. https://doi.org/10.1007/s00170-018-2790-3
ISO B (2013) Cylindrical Gears—ISO System of Flank Tolerance Classification. Part 1: Definitions and Allowable Values of Deviations Relevant to Flanks of Gear Teeth
Funding
This work was financially supported by the National Natural Science Foundation of China (Grant No. 51635003).
Author information
Authors and Affiliations
Contributions
Xiaomin Sun: Methodology, validation, data curation, writing—original draft. Xiaocuan Lin: review and editing.
Corresponding authors
Ethics declarations
Ethics approval
Not applicable.
Consent to participate
Not applicable.
Consent for publication
The author agrees to publication in the journal “Advanced Manufacturing Technology.“
Conflict of interest
The authors declare no competing interests.
Additional information
Publisher's Note
Springer Nature remains neutral with regard to jurisdictional claims in published maps and institutional affiliations.
Rights and permissions
About this article
Cite this article
Sun, X., Lin, X. & Hong, R. A simulation method for free-form milling of cylindrical gears with disc cutters. Int J Adv Manuf Technol 119, 5957–5968 (2022). https://doi.org/10.1007/s00170-022-08667-6
Received:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s00170-022-08667-6