Skip to main content
Log in

Force Distribution in Planetary Pinion Gears

  • Published:
Russian Engineering Research Aims and scope


Various models are considered in calculating the forces at satellite–pinion contact points in planetary pinion gears. The force distribution over the pinions is calculated for each model, and the results are compared with experimental data. The applicability of the models is assessed.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Fig. 1.
Fig. 2.
Fig. 3.
Fig. 4.

Similar content being viewed by others


  1. Sinitsyna, Yu.V., Influence of the kinematics of the gear motor on the specific moment, Evraziiskoe Nauchn. Ob”ed., 2017, vol. 1, no. 10, pp. 56–58.

  2. Shannikov, V.M., Planetarnye reduktory s vnetsentroidnym zatsepleniem (Non-Cycloid Planetary Gearboxes), Leningrad: Mashgiz, 1948.

  3. Kudryavtsev, V.N., Planetarnye peredachi (Planetary Gears), Leningrad: Mashinostroenie, 1966.

  4. Sigov, I.V., Research of the cycloid gearbox, in Peredachi v mahsinostroenii (Gears in Machine Engineering), Moscow: Mashgiz, 1951, pp. 44–58.

  5. Kireev, S.O. and Kovalev, V.N., Struktura, kinematika i geometriya planetarnykh peredach s vnetsentroidnym tsevochnym zatspelniem (The Structure, Kinematics, and Geometry of Non-Cycloid Gearbox), Novocherkassk: Novocherk. Gos. Tekh. Univ., 1995.

  6. Chirkin, A.V., Calculation of the load capacity of cycloid gearbox with plastic satellites, Cand. Sci. (Eng.) Dissertation, Moscow: Bauman State Tech. Univ., 2019.

  7. Thube, S.V. and Bobak, T.R., Dynamic Analysis of a Cycloidal Gearbox Using Finite Element Method: AGMA Technical Paper 12FTM18, Alexandria, VA: Am. Gear Manuf. Assoc., 2012, pp. 1–13.

  8. Sinitsyna, Yu.V. and Ermolaev, M.M., The effect of bearing compliance on the operation of a cycloid gearbox, Izv. Vyssh. Uchebn. Zaved., Mashinostr., 2020, no. 4, pp. 15–22.

Download references


Financial support was provided by the Russian Foundation for Basic Research (project 19-38-90252).

Author information

Authors and Affiliations


Corresponding author

Correspondence to Yu. V. Sinitsyna.

Additional information

Translated by B. Gilbert

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Ermolaev, M.M., Zakharov, M.N. & Sinitsyna, Y.V. Force Distribution in Planetary Pinion Gears. Russ. Engin. Res. 41, 189–193 (2021).

Download citation

  • Received:

  • Revised:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: