Influence of tooth profile on rotation error of eccentric gearing satellite

In the article a cycloid internal engagement of gears that form an eccentric gearing, is considered. This engagement is investigated in point of insensitivity to assembly error. Only one type of assembly error – error of center distance i. e. eccentricity – is considered. It is expanded that workability of gearing with center distance error is provided on the assumption of decrease of diameter of roller that acts as central gear tooth. Roller diameter decrease and center distance error lead to breach of condition of conjugation of gears of eccentric gearing that in turn governs the output member rotation error. IThe output member and rotation transmission mechanism are not considered. Thus output member rotation error is equated to rotation error of eccentric gearing satellite. The influence of tooth profile on rotation error of eccentric gearing satellite is estimated when center distance error. On the base of matrix kinematic the methodology that takes in account the multiple-tooth contact is worked out. On basis of the developed methodology the research of influence of satellite tooth profiles formed on the base of shortened and extended epicycloids on rotation error is carried out. It is determined that in the eccentric gearing the use of satellite tooth profiles, formed on the base of extended epicycloid, makes it possible to decrease the rotation error. At that makes possible the operation of eccentric gearing in general manufacturing settings. Thus, the possibility of extending of eccentric gearing application fields to driving devices with higher requirements to overall sizes, mass, as well as cost, is come.

rotation error, eccentric gearing, tooth profile, extended epicycloid, shortened epicycloid

1. Shannikov V. M. Planetary Gearboxes with Off-Centroid Gearing. Moscow, Mashgiz Publ., 1948. 172p. (in Russian).

2. Gromyko P. N., Khatetovsky S. N. Modeling of eccentric transmission operation in presence of elastic deformations of contacting links.Proceedings of the International Conference “Aviamechanical Engineering and Transport” (AviaENT), 2018, vol. 158, pp. 160–164.https://doi.org/10.2991/avent-18.2018.31

3. Khatetovsky S. N., Gromyko P. N. KalentionokR. A., Kapitonov A. V., Kotov I. V. The influence of errors of precessional gearing links on kinematic error. Vestnik Belorussko-Rossiiskogo universiteta [Bulletin of the Belarusian-Russian University], 2017, no. 4, pp. 109–117 (in Russian).

4. Litvin F. L. The Theory of Gearings. Moscow, Nauka Publ., 1968. 584 p. (in Russian).

5. Gromyko P. N., Makarevich D. M., Dokonov L. G., Makarevich S. D., Goncharov P. S., Trusov I. V. Precession Reduction Gearings for Driving Devices of Different Functions. Mogilev,Belarusian-Russian University, 2013. 273 p. (in Russian).

6. Gromyko P. N., Khatetovsky S. N.,Yurkova V. L. Use of an elongated epicycloide for forming gear surfaces of excentric gears. Vestnik Belorussko-Rossiiskogo universiteta [Bulletin of the Belarusian-Russian University], 2019, no. 1 (62), pp. 14–21 (in Russian).

7. Al’gin V. B. Antonyuk V. E., Basinyuk V. L., Goman A. M., Gromyko P. N., Dan'kov A. M., Dragan A. V., Ishin N. N., Kane M. M. [et al.] Gearings and Transmissions in Belarus: Design, Technology, Estimations of Properties. Minsk, Belaruskaya navuka Publ., 2017. 406 p. (in Russian).