СИЛОВОЙ И ПРОЧНОСТНОЙ РАСЧЕТЫ ВОЛНОВОЙ ПЕРЕДАЧИ С ШАРИКОВЫМИ ПРОМЕЖУТОЧНЫМИ ТЕЛАМИ

A V Lazurkevich; F R Aliev; I-Kan An

doi:10.22213/2410-9304-2017-1-13-16

Authors

A. V. Lazurkevich National Research Tomsk Polytechnic University
F. R. Aliev National Research Tomsk Polytechnic University
I. An National Research Tomsk Polytechnic University

DOI:

https://doi.org/10.22213/2410-9304-2017-1-13-16

Keywords:

planetary gear, design, intermediate bodies-balls, curvature, contact of bodies, deformation, meshing force

Abstract

Wave planetary gears with ball intermediate bodies are simpler and more technological than similar gears with roller intermediate bodies. Now such gears find broad application in various industries: oil, mountain, aviation, space and other. However, now there are no general methods for geometrical, power and strength calculations of gears with the difference between tooth numbers for a gearwheel and balls, equal to ±1. This task is important not only within the strength analysis of meshing elements and support units but also at gear design as the direction of rotation of the driven element changes to the opposite one. In this paper, the original method for power and strength analysis of the wave gear with ball intermediate bodies based on the solution of a problem of static indetermination with application of contact tasks is considered. Some difficulties of the task are connected with solutions of systems of transcendental equations, and with calculation of curvature of tooth profiles. In this regard, the program for the personal computer in the environment of Delphi has been developed for numerical implementation of the task. At the same time the radius of curvature of tooth profiles for the gearwheel is determined using chords between three points on the profile and the theorem of sines.

Author Biographies

A. V. Lazurkevich, National Research Tomsk Polytechnic University

Post-graduate

F. R. Aliev, National Research Tomsk Polytechnic University

Post-graduate

I. An, National Research Tomsk Polytechnic University

DSc in Engineering, Professor

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An I-Kan, Ilin A. S., Lazurkevich A. V. Load analysis of the planetary gear train with intermediate rollers. Part 2 [Electronic resource] // IOP Conference Series: Materials Science and Engineering.-2016.-Vol. 124: Mechanical Engineering, Automation and Control Systems (MEACS2015). - [012004, 6 p.].

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An I-Kan, Ilin A. S., Lazurkevich A. V. Load analysis of the planetary gear train with intermediate rollers. Part 2 [Electronic resource] // IOP Conference Series: Materials Science and Engineering.-2016.-Vol. 124: Mechanical Engineering, Automation and Control Systems (MEACS2015). - [012004,6 p.].