OALibJ  Vol.1 No.3 , June 2014
Spherical Planetary Ball Transmissions: Geometrical Synthesis
Abstract: The paper examines theoretical problems of the development of transmissions with intermediate engaged rolling bodies in which speed reduction and load transfer are made through interaction of main gear units with balls. The distinctive feature of this type of gears is the execution of working surfaces (running ways) of the main gear units on the spherical surfaces. The design of spherical transmission with the constant reduction ratio is developed. The principle of its work is based on interaction of rolling bodies with running way of drive shaft, working surfaces of stopped gear unit and meridional grooves of driven shaft. The running way and working surfaces are made along the harmonic curves closed on sphere. The parametrical equations of interacting spherical curves of several types are received. One of these curves is an inclined circle along which a ring groove on sphere is made. Theoretical principles are illustrated by examples of design of reducer unit.
Cite this paper: Lustenkov, M. (2014) Spherical Planetary Ball Transmissions: Geometrical Synthesis. Open Access Library Journal, 1, 1-8. doi: 10.4236/oalib.1100486.

[1]   Stanovskoi, V.V., Remneva, T.A. and Kazakyavichyus, S.M. (2003) Transmissions with Intermediate Rolling Bodies, Survey of the Patent Literature, Progressive Gearings. NGTI, Novouralsk, 61-94.

[2]   Bara, M. and Brisan, C. (2004) Designing Aspects of a Special Transmission with Balls. Proceedings of the 8th World Congress in Mechanism and Machine Science, Tianjin, 1-4 April 2004, 872-878.

[3]   Bara, M. (2006) Designing Aspects of Cylindrical Transmission. ASME Conference Proceedings, Chicago, 5-10 November 2006, 75-81.

[4]   Terada, H., Masuda, T. and Yoshida, S. (2007) Motion Analysis of a Reciprocating Motion Type Ball Reducer. Proceedings of 12th IFToMM World Congress, Besançon, 18-21 June 2007, 414-418.

[5]   Robert, O. and Parmley, P.E. (editor in chief) (2000) Illustrated Sourcebook of Mechanical Components. McCraw-Hill, New York.

[6]   Bai, S. and Angeles, J. (2009) The Design of Spherical Multilobe-Cam Mechanisms. Proceedings of the Institution of Mechanical Engineers, Part C: Journal of Mechanical Engineering Science (London), 223, 473-482.

[7]   Ignatischev, R.M. (1983) Sinus-Ball Reducers. Higher School, Minsk.

[8]   Lehmann, M. (1981) Sinoiden Getriebe. Konstruktion, B33, 109-112.

[9]   Lustenkov, M.E. and Makarevich, D.M. (2005) Planetary Ball Transmissions of Cylindrical Type. Belorussian-Russian University, Mogilev.

[10]   Willis, R. (1870) Principles of Mechanism. 2nd Edition, Longmans, Green and Co., London.

[11]   Lustenkov, M.E. (2010) Transmissions with Intermediate Rolling Elements: Power Loss Estimation and Minimization. Belorussian-Russian University, Mogilev.

[12]   Terada, H., Fukasawa, T. and Irie, R. (2003) Fundamental Analysis of a Precession Motion Ball Reducer (1st Report) —Motion Principle of a Coaxial Output Type. Journal of the Japan Society for Precision Engineering, 69, 688-692.

[13]   Miller, F.F., Holzinger, D.W. and Wagner, E.R. (1979) Universal Joint and Drive Shaft Design Manual. 3.2.8 Rzeppa Universal Joint, SAE, Society of Automotive Engineers Inc., Warrendale, 145-150.