Abstract
This paper approaches the issue of profiling gear hob bounded by a cylindrical helical surface with constant pitch, reciprocally enveloping with an ordered surfaces curl. The process kinematics of generation reproduces the 3D gear between the worm and the wheel. This gear has crossing axes and it is used for the profiling of the primary peripheral surface of the gear hub in the intermediary surface method (the common rack-gear of the surfaces curl to be generated and the primary peripheral surface of the gear hob). An algorithm in the CATIA design environment is presented, based onto an original method for the determination of the reference rack-gear form—the rack-gear reciprocally enveloping with the surfaces curl, using the principle of the cylindrical helical motion decomposition in translation and rotation motions. Graphical and analytical profiling examples are presented for the gear hob for generation of a parallel spline shaft and for the generation of a toothed wheel with involute teeth. Solutions for the interference problems, problems due to the singular points onto the profiles, are presented.
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References
Litvin FL (1984) Theory of Gearing, Reference Publications 1212, NASA Scientific and Technical Information Division, Washington, D.C.
Radzevich SP. Kinematic geometry of surface machining. CRC, Taylor & Francis, ISBN 978-1-4200-6340-0
Rodin RP (1990) Osnovy proektirovania rezhushchikh instrumentov (Basics of design of Cutting Tools). Vishcha Shkola, Kiev
Lukshin VS (1968) Theory of screw surfaces in cutting tool design. Machinostroyenie, Moscow
Baicu I, Oancea N (2002) Profilarea sculelor prin modelare solidă, Editura Tehnica-Info, Chişinău, ISBN 9975-63-172-X
Chen ZC, Song D (2006) A practical approach to generating accurate ISO-cusped tool paths for three-axis CNC milling of sculptured parts. J Manuf Process 8(1):29–38
Ivanov V, Nankov G, Kirov V (1998) CAD orientated mathematical model for determination of profile helical surfaces. Int J Mach Tool Manuf 38(8):1001–1015
Yang SC (2005) Mathematical model of a helical gear with asymmetric involute teeth and its analysis. Int J Adv Manuf Technol 26:448–456. doi:10-1007/s00170-003-2033-z
Kapelevich AL (2000) Geometry and design of involute spur gears with asymmetric teeth. Mech Mach Theory 35:117–130
Berbinschi S, Teodor V, Oancea N (2010) Contributions to the elaboration of a graphical method for profiling of tools which generate by enveloping. I. Algorithms, Buletinul Insitutului Politehnic din Iaşi, tomul LVI (LX), fasc. 2, secţia Construcţii de maşini, ISSN 1011-2855, pp 41–48
Berbinschi S, Teodor V, Oancea N (2010) Contributions to the elaboration of a graphical method for profiling of tools which generate by enveloping. I. Application for Rack-Gear Tool’s Profiling, Buletinul Insitutului Politehnic din Iaşi, tomul LVI (LX), fasc. 2, secţia Construcţii de maşini, ISSN 1011-2855, pp 49–56
Berbinschi S, Teodor V, Oancea N (2010) Kinematical method for rack-gear tool’s profiling in CATIA design environment. Proceedings of the 14th International Conference ModTech 2010, ISSN 2066-3513, pp 119–122
Berbinschi S, Teodor V, Oancea N (2010) Comparison between CAD method and analytical method—Rack-Gear Tool’s Profiling, The Annals of “Dunărea de Jos” University of Galaţi, fascicle V, Technologies in Machine Building, ISSN 1221-4566, pp 57–64
Teodor V. Contribution to the elaboration of a method for profiling tools—tools which generate by enwrapping. Lambert, ISBN 978-3-8433-8261-8
Fetecau C, Stan F, Oancea N (2009) Toroidal grinding method for curved cutting edge twist drills. J Mat Process Tech 209(7):3460–3468
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Berbinschi, S., Teodor, V. & Oancea, N. 3D graphical method for profiling gear hob tools. Int J Adv Manuf Technol 64, 291–304 (2013). https://doi.org/10.1007/s00170-012-3989-3
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DOI: https://doi.org/10.1007/s00170-012-3989-3