Abstract
Abstract. Planetary reducers have a wide and significant application in modern machine industry. They are extremely compact and reliable, and they can achieve a wide range of gear ratios as well as high efficiency. Since they often operate in extremely changeable working conditions, such as often starting and stoping, it is both interesting and desirable to study their dynamic behaviour. This paper presents a dynamic model of a planetary reducer with double planet gears created by applying Lagrange's equations of the second kind. After a planetary gear reducer has been designed and a CAD model created, the dynamic model was made. Most of characteristic values needed for solution of the equations are taken from the CAD model. Due to their complexity, the equations are solved in math simulation software. A lot of interesting results concerning the dynamic behaviour of the model are obtained, which can be helpful in understanding the dynamic occurrences in the inside of a planetary gearbox. At the end of the paper, conclusions are drawn, and further research directions in this area are given.
Highlights
Planetary reducers are widely used in mobile machine drive systems due to their compact design
Examining the dynamics of those reducer types leads to conclusions that could greatly assist the development of planetary reducers with regard to increasing their compact design, increasing reliability, increasing the lifetime of reducer, reducing vibration and noise in working conditions, etc
This paper presents a dynamic model of a planetary reducer with double planet gears, in which the first ring gear is stationary while the second one revolves around its own axis
Summary
Planetary reducers are widely used in mobile machine drive systems due to their compact design. The interesting field of planetary reducers research before dynamics is kinematic analysis. A dynamic model of a double-helical planetary gear train and its theoretical analysis is shown in the paper by Sondkar and Kahraman (2013). Since noise and vibrations have negative effects on operation of planetary gear trains, dynamic analysis of these gear trains is very common in modern investigations (Blagojevic et al, 2009; Blagojevic, et al, 2020). The papers (Sondkar and Kahraman, 2013; Kang and Kahraman, 2015) give a detailed dynamical analysis of planetary gear sets with both central gears stationary. This paper presents a dynamic model of a planetary reducer with double planet gears, in which the first ring gear is stationary while the second one revolves around its own axis. The presented papers can be used as guidelines for further investigation of aspects of this reducer type, as well as in the design process, considering the vibration in start–stop reducer mode
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