Experimental verification of the power calculation of linear planetary pins
| Authors: Chirkin A.V., Pandurov M.A. | Published: 15.11.2025 |
| Published in issue: #11(788)/2025 | |
| Category: Mechanical Engineering and Machine Science | Chapter: Machine Science | |
| Keywords: experimental verification of the calculation, linear planetary-pinion gears, motion transformation |
The article provides an experimental verification of the calculation of loads in a linear planetary gear train. The existing calculation method assumes that the deformations occurring in the transmission are proportional to the forces. However, due to the difficulty of determining the stiffness of the transmission elements, it is difficult to estimate the force. Therefore, the test was performed indirectly with respect to deformations at various loading parameters. For verification, a test bench was developed on which deformations under load in different transmission positions were measured. Based on the test results, it was concluded that the method of power transmission calculation at loads close to nominal gives an accuracy of ± 7%, which allows it to be verified.
EDN: RJHAXH, https://elibrary/rjhaxh
References
[1] Ermolaev M.M., Pandurov M.A. Linear drive based on a cycloidal transmission. Vestnik mashinostroeniya, 2022, no. 5, pp. 10–14. (In Russ.). (Eng. version: Russ. Engin. Res., 2022, vol. 42, no. 8, pp. 776–780, doi: https://doi.org/10.3103/S1068798X22080123)
[2] Chirkin A.V., Pandurov M.A. Calculation of loads on satellites of linear cycloidal planetary gears, taking into account gaps and friction. Sovremennoe mashinostroenie. Nauka i obrazovanie, 2024, no. 13, pp. 314–327, doi: https://doi.org/10.18720/SPBPU/2/id24-103 (in Russ.).
[3] Chirkin A.V., Ivanov A.S., Ermolaev M.M. Planetary gears based on epicycloidal and hypocycloidal gearing. Sovremennoe mashinostroenie. Nauka i obrazovanie, 2014, no. 4, pp. 462–472. EDN: SMNKMT (in Russ.).
[4] Ivanov A.S., Ermolaev M.M., Chirkin A.V. et al. Calculation of a planetary gear taking into account elastic deformations of a satellite. Sovremennoe mashinostroenie. Nauka i obrazovanie, 2016, no. 5, pp. 464–475. EDN: YUSCRX (in Russ.).
[5] Sinitsyna Yu.V. Metod opredeleniya dolgovechnosti planetarno-tsevochnykh reduktorov s uchetom tochnosti ikh izgotovleniya. Diss. kand. tekh. nauk [Method for determining durability of planetary gearboxes taking into account accuracy of their manufacture. Kand. tech. sci. diss.]. Moscow, Bauman MSTU Publ., 2021. 137 p. (In Russ.).
[6] Pham A.D., Ahn H.J. Efficiency analysis of a cycloid reducer considering tolerance. J. Frict. Wear, 2017, vol. 38, no. 6, pp. 490–496, doi: https://doi.org/10.3103/S1068366617060113
[7] Wang C. A calculation method of transmission efficiency for RV reducer. J. Eng. Res., 2021, vol. 9, no. 4B, pp. 281–295, doi: https://doi.org/10.36909/jer.8378
[8] Xu H., Gao J., He Y. et al. Modeling and measurement of precision reducers’ efficiency curve. Int. J. Metrol. Qual. Eng., 2021, vol. 12, art. 25, doi: https://doi.org/10.1051/ijmqe/2021023
[9] Ivanov A.S., Ermolaev M.M., Chirkin A.V. Load capacity of cycloidal speed reducer with plastic components. Russ. Engin. Res., 2020, vol. 40, no. 7, pp. 535–541, doi: https://doi.org/10.3103/S1068798X20070163
[10] Król R. Analysis of the backlash in the single stage cycloidal gearbox. Arch. Mech. Eng., 2022, vol. 69, no. 4, pp. 693–711.
[11] Zakharov M.N., Ermolaev M.M., Zaitseva A.V. Nonuniform load distribution between the satellites of a cycloid gear. Russ. Engin. Res., 2020, vol. 40, no. 9, pp. 720–725, doi: https://doi.org/10.3103/S1068798X20090245
[12] Jang D.J., Kim Y.C., Hong E.P. et al. Geometry design and dynamic analysis of a modified cycloid reducer with epitrochoid tooth profile. Mech. Mach. Theory, 2021, vol. 164, no. 2, art. 104399, doi: https://doi.org/10.1016/j.mechmachtheory.2021.104399
[13] Pham A.D., Tran T.L., Ahn H.J. Hysteresis curve analysis of a cycloid reducer using non-linear spring with a dead zone. Int. J. Precis. Eng. Manuf., 2017, vol. 18, no. 3, pp. 375–380, doi: https://doi.org/10.1007/s12541-017-0045-0
[14] Fraccaroli L., Pagliari L., Concli F. A combined analytical-numerical approach to evaluate the efficiency of cycloidal speed reducers. ISIEA 2023. Springer, 2023, pp. 590–599, doi: https://doi.org/10.1007/978-3-031-38274-1_49
[15] Senchurin L.P. [On efficiency of planetary gearboxes]. Aktualnye problemy morskoy energetiki. Mat. vosmoy mezhd. nauch.-tekh. konf. [Actual Problems of Marine Energetics. Proc. 8th Int. Sci.-Tech. Conf.]. Sankt-Petersburg, SPbGMTU Publ., 2019, pp. 298–303. (In Russ.).