Abstract
Two main popular cutting methods for bevel gear mass production, face milling and face hobbing, both require dedicated tools and machines available from only a few machine tool companies, which makes production more costly. This paper thus proposes a cheaper, more flexible alternative for producing small or medium batches of large bevel gears, a disk tool cutting method using a five-axis machine. In this method, the machine coordinates are derived based on tooth surfaces. The target’s topographic points of tooth surface are applied to construct a fitted surface which is then used to further refine the cutter-contact points to improve the precision of the gear produced. At the same time, mathematical models are established for both the tool and the machine. A coordinate transformation matrix is then generated by aligning the coordinate system of the tool’s reference point with each of the work gear cutter-contact points. Because different machines employ identical transformation matrices for producing the same workpiece, the machine’s five-axis coordinates can be derived using inverse kinematics. These coordinates are the resource to generate the NC machining data that allows NC verification software to perform cutting simulations. The simulation results verify the correctness of the mathematical models.
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References
Litvin FL, Gutman Y (1981) Methods of synthesis and analysis for hypoid gear-drives of “formate” and “helixform”—Part 1. Calculations for machine settings for member gear manufacture of the formate and helixform hypoid gears. ASME J Mech Des 103(1):83–88
Litvin FL, Gutman Y (1981) Methods of synthesis and analysis for hypoid gear-drives of “formate” and “helixform”—Part 2. Machine setting calculations for the pinions of formate and helixform gears. ASME J Mech Des 103(1):89–101
Litvin FL, Gutman Y (1981) Methods of synthesis and analysis for hypoid gear-drives of “formate” and “helixform”—Part 3. Analysis and optimal synthesis methods for mismatch gearing and its application for hypoid gears of “formate” and “helixform”. ASME J Mech Des 103(1):102–110
Fong ZH (2000) Mathematical model of universal hypoid generator with supplemental kinematic flank correction motions. ASME J Mech Des 122(1):136–142
Álvarez A, López de Lacalle LN, Olaiz A, Rivero A (2015) Large spiral bevel gears on universal 5-axis milling machines: a complete process. Proc Eng 132:397–404
Shih YP, Zhang CX (2017) Manufacture of spiral bevel gears using standard profile angle blade cutters on a five axis computer numerical control machine. J Manuf Sci Eng 139(6):061017 (14 pages)
Shih YP, Sun ZH, Lai KL (2017) A flank correction face-milling method for bevel gears using a five-axis CNC machine. Int J Adv Manuf Technol. doi:10.1007/s00170-017-0032-8
Deng XZ, Li GG, Wei BY, Deng J (2014) Face-milling spiral bevel gear tooth surfaces by application of 5-axis CNC machine tool. Int J Adv Manuf Tech 71(5):1049–1057
Chiu CM, Shih YP Spiral bevel gear manufacturing on a CNC five-axis machine using bell-type milling cutters. Proceedings of the 2014 IFToMM Asian MMS, Tianjin, China
Rogers DF, Adams JA (1990) Mathematical elements for computer graphics, second edn. McGraw-Hill, New York
Works G (1971) Calculation instructions: generated spiral bevel gears, duplex-helical method, including grinding. Gleason Works, Rochester
Litvin FL, Fuentes A (2004) Gear geometry and applied theory, second edn. Cambridge University Press, Cambridge
Video of the cutting simulations for pinion: https://www.youtube.com/watch?v=b_jVz25eGlk&list=UUEIBxFzAEhFa-FOL4w0E07g&index=1
Video of the cutting simulations for gear: https://www.youtube.com/watch?v=_FKGfZKhbRU&list=UUEIBxFzAEhFa-FOL4w0E07g&index=2
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Shih, YP., Sun, ZH. & Wu, FC. A disk tool cutting method for bevel gear manufacture on a five-axis machine. Int J Adv Manuf Technol 94, 855–865 (2018). https://doi.org/10.1007/s00170-017-0918-5
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DOI: https://doi.org/10.1007/s00170-017-0918-5