Abstract
Straight bevel precessional gears with a small shaft angle are a principally new type of bevel gears. It has a lot of great characteristics such as high efficiency due to multi-pair tooth meshing—high torque. A straight bevel precessional gear with a small shaft angle mainly has a wide range of gear ratios (100 and more) and small starting torque compared to worm and spiroid gearboxes. Furthermore, the straight bevel precessional gear with a small shaft angle can better adapt to the oil and gas industry because transmission provides a high loading capacity which is necessary in the Far North and Arctic climates. According to the Hertz contact theory, this paper described the final formula for contact strength of straight bevel precessional gears with a small shaft angle. The contrast analysis of contact strength between the straight bevel precessional gear with a small shaft angle and cylindrical gear and worm gear was investigated by computer simulation. The results reveal that the straight bevel precessional gear with a small shaft angle has a high loading capacity and contact strength in tooth meshing. The results of this paper can be used for the design and production of these types of gearboxes.
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References
Nabiev RM (2010) Chervyachnyy reduktor elektroprivoda—perezhitok proshlogo ili aktual’naya klassika (Screw gear motor is a relic of the past or current classical) Territoriia neftegaz (Oil and gas territory) 6:100–102
Litvin FL, Yukishima K, Hayasaka K et al (2007) Geometry and investigation of Klingelnberg-type worm gear drive. J Mech Des Trans ASME 129(1):17–22
Gurevich DF (2008) Raschet i konstruirovaniye truboprovodnoy armatury. Promyshlennaya truboprovodnaya armatura. Konstruirovaniye truboprovodnoy armatury (Calculation and design of pipeline valves. Industrial pipeline valves. Construction of pipeline valves). LKI Publishing
Gavrilenko VA (1962) Zubchatyye peredachi v mashinostroyenii (Gears in mechanical engineering). Mashgiz Publishing
Goldfarb VI (2011) Spiroidnyye reduktory truboprovodnoy armatury (Spiroid gearboxes for pipeline valves). Veche Publishing, Moscow
Litvin FL, Fuentes A, Zanzi C et al (2002) Face gear drive with spur involute pinion: geometry, generation by a worm, stress. Anal Comput Methods Appl Mech Eng 191:2785–2813
Goldfarb VI, Trubachev ES (2004) Manufacturing synthesis of spiroid gearing. In: Huang T (ed) Proceeding of the 2004 the eleventh world congress in mechanism and machine science, Tianjin, China, 1 April 2004 through 4 April 2004 Code 63248, pp 901–904
Goldfarb VI, Trubachev ES, Savelieva TV (2005) Unification of the hobs in spiroid gears. In: VDI Berichte, Issue 1904 II, VDI Verlag GMBH, pp 1755–1759
Goldfarb VI, Reshetnikov SM, Trubachev ES et al (2015) Slip bearing and lubricants in low-speed heavy-duty spiroid gears. Russ Eng Res 35(8):584–588
Trubachev E (2016) Several issues of tooth generating process by two-parametric families of generating lines. Mech Mach Sci 34:97–116
Saari OE (1954) Speed-reduction gearing. US Patent 2,696,125 7 Dec 1954
Nelson WD (1961) Spiroid gearing. Mach Des 3:136–144
Nelson WD (1961) Spiroid gearing. Mach Des 4:93–100
Nelson WD (1961) Spiroid gearing. Mach Des 5:165–171
Bohle F (1955) Spiroid gear. Machinery 62(2):155–161
Syzrantsev V, Kotlikova V (2000) Mathematical and program provision of design of bevel gearing with small shaft angle. In: Proceedings of the international conference on gearing, transmissions, and mechanical systems, Nottingham Trent University, UK, 3–6 July 2000
Syzrantsev V, Denisov J, Wiebe V, Pazyak A (2015) The design and production of drives based on pan precess gear for oil and gas machinery. In: ASME 2015 international design engineering technical conferences and computers and information in engineering conference, vol 10, Boston, USA, 2–5 August 2015. https://doi.org/10.1115/detc2015-47096
Syzrantsev V, Syzrantseva K, Pazyak A (2015) Method of loading capacity calculation of bevel precessional gear for pipeline valve drives. 10(8):243–246
Syzrantsev V, Syzrantseva K, Pazyak A, Milanovic M (2017) Research on geometrical characteristics of straight bevel gears with a small shaft angle with a non-generated gear and generated pinion. FME Trans 45(4):661–669. https://doi.org/10.5937/fmet1704661S
Syzrantsev VN, Pazyak AA (2017) Precessional gears for drives of stop valves of oil and gas pipelines and gearboxes of pumps to produce heavy crude oil. Geo Assets Eng, Bulletin of the Tomsk Polytechnic University, 328(2):15–27
Syzrantsev VN, Pazyak AA (2017) Calculating loading capacity of bevel gears with a small shaft angle with a non-generated gear and a generated pinion for drives of stop valves. Bulletin of the Tomsk Polytechnic University, Geo Assets Engineering 328(3):64–74
Denisov JG, Syzrantsev VN, Vibe VP (2014) Soosnyy reduktor [Coaxial gearbox]. RF Patent 2,529,943 10 Oct 2014
Airapetov EL (1990) Static loading of multi-pair toothed transmissions. Soviet Eng Res 5(12):4–7
Airapetov EL (1985) Calculation of contact stresses in gear transmissions with localized tooth contact. Soviet Eng Res 101:8–17
Airapetov EL (1985) Contact loads in gear engagement. Soviet Eng Res 210:3–5
Medvedev VI, Sheveleva GI (1993) Method of contact and bending stresses determination in gear-wheels. Problemy Prochnosti i Nadezhnos’ti Mashin 6:35–40
Medvedev VI, Sheveleva GI (1996) Synthesis of bevel gear on the base of quasilinear contact theory. Problemy Prochnosti i Nadezhnos’ti Mashin 2:25–32
Sheveleva GI (1984) Chislennyy metod resheniya kontaktnoy zadachi priszhatii uprugikht el (Numerical method for solving the contact problem in the compression of elastic bodies). Mashinovedeniye (Machine Science) 4:92–98
Sheveleva GI (1988) Analiz osobennostey raspredeleniya davleniy pri reshenii kontaktnoy zadachi teorii uprugosti (Analysis of the pressure distribution characteristics for solving the contact problem of elasticity theory) Izvestiya vuzov. Mashinostroyeniye (News of universities. Engineering) 11:14–17
Sheveleva GI (1999) Teoriya formoobrazovaniya i kontakta dvizhushchikhsya tel (Theory of formation and contact of moving bodies). Stankin Publishing, Moscow
Shchekin BM (1990) Investigation of the stress-strain state of bevel gear transmissions. Soviet Eng Res 1012:20–23
Ginzburg EG (1980) Zubchatyye peredachi (Gears). Mashinostroyeniye Publishing, Leningrad
Chernaya LA (1993) Modelirovaniye kontakta vint-rolik v roliko-vintovoy planetarnoy peredache (Simulation of a screw-roller contact in a roller-screw planetary gear) Izvestiya vuzov. Mashinostroyeniye (News of universities. Engineering) 2:17–19
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Syzrantsev, V., Pazyak, A. (2020). Contact Strength Calculation of Straight Bevel Precessional Gears with Small Shaft Angle. In: Radionov, A., Kravchenko, O., Guzeev, V., Rozhdestvenskiy, Y. (eds) Proceedings of the 5th International Conference on Industrial Engineering (ICIE 2019). ICIE 2019. Lecture Notes in Mechanical Engineering. Springer, Cham. https://doi.org/10.1007/978-3-030-22041-9_23
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