GEOMETRIC ANALYSIS AND THEORETICAL EFFICIENCY EVALUATION OF THE CONE-AND-PLATE ENGAGEMENT OF A SPHERICAL ROLLING SCREW MOTION DRIVE
Abstract and keywords
Abstract (English):
The study objective was to assess the influence of friction factors and geometric parameters of a spherical rolling screw motion drive on its efficiency. The load is transferred by means of a cone-and-plate engagement of two rows of rollers mounted on a satellite with fixed and driven plate central gears. With the help of a spherical rolling screw motion drive, it is possible to realize a wide range of gear ratios (16...200) and reduce the material capacity of the gearbox, ensuring the ratio of its mass to the nominal transmitted torque of less than 0.1 kg/(N•m). The main task of this research is to find out the ascent angle of the spatial closed center curves with the help of which the surfaces of the central wheel teeth are formed. The research methods are based on the application of the classical mechanics laws and computer modeling algorithms in NX system. The novelty of the research is in the novelty of the technical object under study, its low level of being studied, the lack of detailed methods of its calculation and design. As a result, based on the analysis of the geometric satellite model, the equations of the center curves are obtained and an algorithm for determining the ascent angle of the center curve in the middle section of the central wheel teeth is developed, which allows power analysis of the motion drive. The applicability of the formula for calculating the average ascent angle of a piecewise helical curve located on a cylindrical surface for spherical motion drives is evaluated and the necessity of its adjustment taking into account a given gear ratio and the inclination angle of the drive shaft crank is found out. An algorithm is developed for the theoretical study of the efficiency of spherical roller gears at the design stage.

Keywords:
cone-and-plate engagement, spherical mechanism, precession gear, gearbox, roller gear, efficiency
References

1. Algin VB, Starzhinsky VE. Gears and transmissions in Belarus: design, technology, evaluation of properties: monograph. Minsk: Belorusskaya navuka; 2017.

2. Efremenkov EA, Martyushev NV, Skeeba VYu. Research on the possibility of lowering the manufacturing accuracy of cycloid transmission wheels with intermediate rolling elements and a free cage. Applied Sciences. 2022;12(1):5-10.

3. Lustenkov ME. Strength calculations for cylindrical transmissions with compound intermediate rolling elements. Int. J. of Mechanisms and Robotic Systems. 2015;2(2):111 - 121.

4. Lustenkov ME, Fitsova ES. A mechanism with a changing angle between the shaft axes. Bulletin of the Bryansk State Technical University. 2014;1:46-50.

5. Bostan IA. Planetary precession gears with multi-pair gearing. Chisinau: Stiinitsa; 1991.

6. Hong J, Yao L, Ji W. Kinematic modeling for the nutation drive based on screw theory. Procedia CIRP. 2015;36:123-128.

7. Lustenkov ME, Lustenkova ES. Load capacity of spherical roller transmission with double-row pinion. IOP Conf. Series: Materials Science and Engineering. 2020;795(012020):6.

8. Lustenkov ME. Determination of the efficiency of gears with composite intermediate rolling elements. Izvestiya Visshikh Uchebnih Zavedeniy. Mashinostroenie. 2014;6:13-19.

9. Kudryavtsev VN, Kirdyashev YuN, Ginzburg EG. Planetary transmissions: reference. Leningrad: Mashinostroenie; 1977.

10. Lustenkov ME. Transmissions with intermediate rolling elements: determination and minimization of power losses: monograph. Mogilev: Belarusian-Russian University; 2010.

Login or Create
* Forgot password?