DOI: 10.18503/1995-2732-2024-22-3-92-100
Abstract
Problem Statement (Relevance). Thread milling is a flexible and universal method of threading, showing reliability and ensuring accuracy and the quality of the resulting internal thread. Thread milling cutters are the most often used ones, providing the highest machining performance, while increasing length of the operating part of the tool leads to an increase in cutting force, which leads to a taper thread and may reduce its accuracy. Predicting force during thread milling with comb-shaped structures of tools solves a number of tasks that ensure their efficient operation, which are related to ensuring accuracy of the internal metric thread, strength of the tool and uniform operation, and vibrations in the technological system. Objectives. The research is aimed at developing a theoretical model for calculating the components of cutting force during thread milling with a thread milling cutter, which factors into the distribution of the cutting force components for every thread-forming profile subject to the contact angle. Methods Applied. A theoretical model of cutting force was developed in PTC Mathcad Prime 3.1 based on the provisions of the cutting theory using geometric construction and verification with Kompas-3D. Originality.The proposed theoretical model of force during thread milling of internal metric threads with thread milling cutters describes the distribution of the cut layer between the profiles of tool teeth using a force model for thread milling with single-disc cutters [7], factoring into screw chip grooves and a non-uniform circumferential pitch of the teeth. Result. Efficiency of the proposed theoretical force model for thread milling with thread milling cutters is confirmed by experimental data. Discrepancy with such data did not exceed 20%. Practical Relevance.The proposed theoretical model of the force components in threading with thread milling cutters solves a number of problems related to ensuring accuracy of the internal metric thread, strength of the tool and its uniform operation based on theoretical calculation.
Keywords
thread milling, thread milling cutter, cutting force, modeling, cut layer
For citation
Malkov O.V., Karelskiy A.S. Calculation of Cutting Force when Machining Internal Threads with Thread Milling Cutters. Vestnik Magnitogorskogo Gosudarstvennogo Tekhnicheskogo Universiteta im. G.I. Nosova [Vestnik of Nosov Magnitogorsk State Technical University]. 2024, vol. 22, no. 3, pp. 92-100. https://doi.org/10.18503/1995-2732-2024-22-3-92-100
1. Saykin S.A., Tsvetkov E.V., Tolkachev A.V. Measurement of cutting force and torque during thread milling. Naukoemkie tekhnologii v mashinostroenii [Science Intensive Technologies in Mechanical Engineering]. 2023;(1(139)):24-30. (In Russ.) DOI: 10.30987/2223-4608-2023-1-24-30
2. Kosarev V.A., Grechishnikov V.A., Kosarev D.V. Study on force parameters during milling of internal threads with planetary movement of the tool. STIN [Russian Engineering Research]. 2009;(8):19-22. (In Russ.)
3. Araujo A.C., Silveira J.L., Jun M.B., Kapoor S.G., DeVor R. A model for thread milling cutting forces. International Journal of Machine Tools and Manufacture. 2006;46(15):2057-2065.
4. Malkov O.V., Golovko I.M. Experimental determination of the force model during thread milling. Innovatsii v mashinostroenii: sbornik trudov Mezhdunarodnoy molodezhnoy konferentsii; Yurginskiy tekhnologicheskiy institut [Innovations in Mechanical Engineering: Proceedings of the International Youth Conference]. Yurga Institute of Technology. Tomsk: Publishing House of Tomsk Polytechnic University, 2012, pp. 73-77. (In Russ.)
5. Araujo A.C., Fromentin G., Poulachon G. Analytical and experimental investigations on thread milling forces in titanium alloy. International Journal of Machine Tools & Manufacture. 2013;67:28-34.
6. Volkov D.I., Saykin S.A. Calculating cutting force when milling internal threads in heat-resistant alloys. Vestnik RGATA imeni P.A. Soloveva [Vestnik of Solovev Rybinsk State Aviation Technical University]. 2010;(1(16)):145-150. (In Russ.)
7. Malkov O.V., Karelskiy A.S. Theoretical calculation of the components of thread milling cutting forces. Vestnik Magnitogorskogo gosudarstvennogo tekhnicheskogo universiteta im. G.I. Nosova [Vestnik of Nosov Magnitogorsk State Technical University]. 2023;21(4):44-55. (In Russ.)
8. Malkov O.V., Golovko I.M., Karelsky A.S. Theoretical calculation of parameters of the cut layer cross section when thread milling. Izvestiya vuzov. Mashinostroenie [News of Higher Educational Institutions. Mechanical Engineering]. 2018;(10(703)):24-36. (In Russ.)
9. Pavlyuchenkov I.A. Razrabotka sistemy proektirovaniya rezbovykh frez s uchetom obespecheniya tekhnologichnosti ikh izgotovleniya: dis. … kand. tekhn. nauk [Development of a design system for threaded cutters, factoring into their manufacturability. PhD thesis]. Moscow, 2022.
10. Dreval A.E., Vasiliev S.G., Vinogradov D.V., Malkov O.V. An instrumentation diagnostic stand for experimental studies in machining technology. Nauka i obrazovanie. MGTU im. N.E. Baumana [Science and Education. Bauman Moscow State Technical University]. Available at: https://www.elibrary.ru/download/elibrary_22794716_82712685.pdf (Accessed on March 20, 2024).
11. Karelsky A.S. Povyshenie tochnosti rezbofrezerovaniya na osnove snizheniya silovogo vzaimodeystviya instrumenta i zagotovki: dis. … kand. tekhn. nauk [Improving accuracy of thread milling by reducing the force interaction between the tool and the workpiece. PhD thesis]. Moscow, 2022.
12. Malkov O.V., Karelsky A.S. Modeling of the cut layer during thread milling. Izvestiya vuzov. Mashinostroenie [News of Higher Educational Institutions. Mechanical Engineering]. 2017;(9):54-64. (In Russ.) DOI: 10.18698/0536-1044-2017-9-54-64