Simulation of motion in a cycloidal gear. Part II. Loaded gear 

Evgeniy A. Tchufistov, Candidate of engineering sciences, professor, professor of sub-department of transport machines, Penza State University (40 Krasnaya street, Penza, Russia), E-mail: ea_tchufistov@mail.ru
Oleg E. Tchufistov, Candidate of engineering sciences, associate professor, associate professor of the sub-department of mechanical engineering technology, Penza State Technological University (1a/11 Baydukova passage / Gagarina street, Penza, Russia), E-mail: tchufistov@mail.ru
Mirko Blagojević, Professor of the faculty of engineering, University of Kragujevac (6 Sestre Janic street, Kragujevac, Serbia), E-mail: mirkob@kg.ac.rs
Milan Vasic, Postgraduate student of technical college of applied studies, The Academy of Applied Tecnical Studies Belgrade (3 Katarine Ambrozić street, Belgrade, Serbia), E-mail: mvasic@atssb.edu.rs

Background. The article considers the motion in a planetary-pinion (cycloidal) gear made according to the k-h-v scheme. The presented research combines kinematic analysis with analysis of angular stiffness of gear. The method of calculating the rotation inaccuracy of the output element of gear is based on identifying the forces acting in the gear, taking into account the manufacturing inaccuracies of gear details and geometric ratios in the gear itself and their effect on the inaccuracy of the angle of rotation of the output shaft. The purpose of the study is to use techniques and algorithms to establish the law of rotation of the driven element of the loaded gear. Materials and methods. Deformations in contact pairs are determined by the method of designing manufacturing inaccuracies, modifying the tooth profile and moving the tooth profiles due to the loading of the gear on the profile contact normal. The stiffness characteristics of the contact pair are determined using classical Hertz contact mechanics. The toothing forces in an arbitrary position of the satellite and the pinwheel are calculated using an iterative algorithm. To obtain quantitative characteristics, computer modeling in the Mathcad system is used. Results. An algorithm is proposed for calculating the inaccurancy of the rotation angle of the driven element of a loaded planetary- pinion gear with modification of the profile of the teeth of the satellite and the eccentricity of the satellite. Calculations and analysis of the obtained results are performed. The influence of the load on the accuracy of rotation in the gear is shown. Conclusions. The proposed solution allows us to take into account the combined effect of uniform modification of tooth profiles, satellite eccentricity and load on the inaccurancy of the angle of rotation of the output element of the loaded gear. To create precision drives that meet modern requirements, techniques are needed that take into account the integral kinematic and deformation characteristics of toothing.

cycloidal gears, toothing, profile modification, eccentricity, elastic rotation angle, torsional stiffness, rotation inaccuracy

Tchufistov E.A., Tchufistov O.E., Blagojević M., Vasic M. Simulation of motion in a cycloidal gear. Part II. Loaded gear. Izvestiya vysshikh uchebnykh zavedeniy. Povolzhskiy region. Tekhnicheskie nauki = University proceedings. Volga region. Engineering sciences. 2025;(1):92–105. (In Russ.). doi: 10.21685/2072-3059-2025-1-8