Abstract
In this chapter, the ever-increasing importance of face gear drives is first underlined, and short notes on their cutting processes are provided. The generation processes and geometrical elements of a face gear pair are then defined, and the basic topics of face gear manufacturing and bearing contact are given. The basic equations of the tooth flank surfaces of these gears are then obtained using differential geometry methods, and the non-undercut conditions of the tooth surfaces and those for avoiding pointed teeth are also defined. The correct meshing and contact conditions between the two members of a face gear pair are then studied and analyzed using the same methods, and the point contact conditions are determined. Finally, the generation and grinding processes of face gears by worms are deepened, always using the aforementioned analytical procedures.
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References
Akahori H, Sato Y, Nishida Y, Kubo A (2001) Test of the durability of face gears. In: The Proceedings of the JSME International Conference on MTP, Fukuoka, Japan
Basstein G, Sijtstra A (1993) New developments concerning design and manufacturing of face gears. Antriebstechnik 32(11)
Bloomfield B (1947) Designing face gears. Mach Des 19(4):129–134
Buzano P (1961) Lezioni di Analisi Matematica – Parte Prima, 5th edn. Libreria Universitaria Levrotto&Bella, Torino
Chakraborty J, Bhadoria BS (1971) Design of face gears. Mechanisms 6:435–445
Chakraborty J, Bhadoria BS (1973) Some studies on hypoid face gears. Mech Mach Theory 8:339–349
Dudley DW, Winter H (1961) Zahnräder: Berechnung, Enfwurf und Herstellung nach amerikanischen Enfahrungen. Springer, Berlin, Göttingen, Heidelberg
Feng GS, Xie ZF, Zhou M (2019) Geometric design and analysis of face-gear drive with involute helical pinion. Mech Mach Theory 134:169–196
Francis V, Silvagi J (1950) Face Gear Design Factors. Prod Eng 21:117–121
Goldfarb V, Barmina N (eds) (2016) Theory and Practice of Gearing and Transmissions. In Honor of Professor Faydor L. Litvin. Springer International Publishing Switzerland, Chan Heidelberg
Guingand M, de Vaujany J-P, Jacquin C-Y (2005) Quasi-static analysis of a face gear under torque. Comput Methods Appl Mech Eng 194:4301–4318
Handschuh RF, Lewicki DG, Bossler RB (1994) Experimental testing of prototype face gears for helicopter transmissions. Proc Inst Mech Eng Part G J Aerosp Eng 208(2):129–136
Heath GF, Filler RR, Tan J (2002) Development of face gear technology for industrial and aerospace power transmission, NASA/CR-2002-211320, ARL-CR-0485, 1L18211-FR-01001
Hirsch MW, Smale S, Devaney RL (2004) Differential equations, dynamical systems, and an introduction to chaos. Elsevier Academic Press, Amsterdam
ISO 1122-1:1998. Vocabulary of gear terms—part 1: Definition related to geometry
Kawasaki K, Tsuji I, Gunbara H (2018) Geometric design of a face gear drive with a helical pinion. J Mech Sci Technol 32(4):1653–1659
Kissling U, Beermann S (2007) Face gears: geometry and strengh. Gear Technol 1(2):54–61
Korn GA, Korn TM (1968) Matematics hanbook for scientist and engineers, 2nd edn. McGraw-Hill Inc, New York
Lewicki DG, Handschuh RF, Heath GF, Sheth V (1999) Evaluation of carbonized face gears. In: The american helicopter society 55th annual forum, Montreal, Canada
Litvin FL (1992) Design and geometry of face gear drives. Trans ASME, J Mech Des 114(4):642–647
Litvin FL (1998) Development of gear technology and theory of gearing, NASA reference publication 1406, ARL-TR-1500
Litvin FL, Chen YS, Heath GF, Sheth VJ, Chen N (2000) Apparates and method for precision grinding face gears. U.A. Patent No. 6.146.253
Litvin FL, Egelja A, Tan J, Chen DY-D, Heath G (2000) Handbook on face gear drives with a spur involute pinion. NASA/CR-2000-209909, ARL-CR-447
Litvin FL, Fuentes A (2004) Gear geometry and applied theory, 2nd edn. Cambridge University Press, Cambridge
Litvin FL, Fuentes A, Zanzi C, Pontiggia M (2002) Face gear drive with spur involute pinion: geometry, generation by a worm, stress analysis. NASA/CR-2002-211362. ARL-CR-491-2002
Litvin FL, Fuentes A, Zanzi C, Pontiggia M, Handschuh RF (2002) Face-gear drive with spur involute pinion: geometry, generation by a worm, stress analysis. Comput Methods Appl Mech Eng 191:2785–2813
Litvin FL, Fuentes A, Zanzi C, Pontiggia M (2002) Design, generation and stress analysis of two versions geometry of face-gear drives. Mech Mach Theory 37(23):1179–1211
Litvin FL, Gonzalez-Perez I, Fuentes A, Vecchiato D, Hausen BD, Binney D (2005) Design, generation and stress analysis of face-gear drive with helical pinion. Comput Methods Appl Mech Eng 194:3870–3901
Litvin FL, Wang JC, Bossler Jr RB, Chen Y-JD, Heath G, Lewicki DG (1992) Application of face-gear drives in helicopter transmission. In: Proceeding of the 6th international power transmission and gearing conference, Scottsdale, Arizona, AVSCOM Technical Report 91-C-036 and NASA Technical Memorandum 105655, 13–16 Sept 1992
Litvin FL, Zhang Y, Krenzer TJ, Goldrich RN (1989) Hypoid gear drive with face-milled teeth: condition of pinion non-undercut and fillet generation, AGMA Paper 89FTM7
Miller EW (1942) Hob for generation of crown gears. U.S. Patent No. 2.304.588
Novozhilov VV (1970) Thin shell theory. 2nd augmented and revised edition. Wolters-Noordhoff Publishing, Groningen
Radzevich SP (2012) Dudley’s handbook of practical gear design and manufacture, 2nd edn. CRC Press, Taylor & Francis Group, Boca Raton
Tan J (1998) Apparates and method for improved precision grinding of face gears. U.S. Patent No. 5.823.857
Townsend DP (ed) (1991) Dudley’s gear handbook, 2nd edn. McGraw-Hill, New York
Tricomi FG (1956) Lezioni di Analisi Matematica – Parte Seconda, 7th edn. CEDAM-Case Editrice Dott. Antonio Milani, Padova
Ventsel E, Krauthammer T (2001) Thin plates and shell: theory, analysis, and applications. Marcel Dekker Inc, New York
Zalgaller VA, Litvin FL (1977) Sufficient condition of existence of envelope contact lines and edge of regression on the surface of the envelope to the parametric family of surfaces represented in parametric form. Proc Univ Math 178(3):20–23 (in Russian)
Zalgaller VA (1975) Theory of envelopes. Publishing House Nauka, Department of Physics and Mathematics, Moscow
Zanzi C, Pedrero JI (2005) Application of modified geometry of face gear drive. Comput Methods Appl Mech Eng 194(27–29):3047–3066
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Vullo, V. (2020). Face Gear Drives. In: Gears. Springer Series in Solid and Structural Mechanics, vol 10. Springer, Cham. https://doi.org/10.1007/978-3-030-36502-8_14
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DOI: https://doi.org/10.1007/978-3-030-36502-8_14
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