Development of a mathematical model of dynamic characteristics of a drive with a planetary mechanism

Author:

Nematov Erkin,Khudjaev Mukhiddin,Khasanov Botir

Abstract

The article is devoted to the development of a mathematical model of dynamic characteristics of a drive with a planetary gear mechanism. The subject of research is a drive with a planetary gear mechanism. The following issues were considered in the article: the synthesis of a planetary gear mechanism; the development of a mathematical model that describes the dynamic characteristics of the system; the determination of the dynamic characteristics of a drive with a planetary gear mechanism. Research is based on the method of determining the number of gear teeth; the method of determining the kinetic energy of the James gearbox; the method of determining the dynamic characteristics of an electric motor. The possible number of satellites is given in the article; the pitch radii of the wheels for a given modulus are defined; the moment of inertia of the mechanism reduced to the movable central wheel is determined; a mathematical model of the motion of a drive with a planetary gear mechanism is developed. Equations of motion of a drive with a planetary gear mechanism were obtained. Assuming, in a particular case, all the links of the drive with the planetary gear mechanism as rigid links, a mathematical model was developed for this system, considering the dynamic characteristics of an electric motor. A mathematical model was developed that describes the dynamic characteristics of the system. Analytical solutions for the developed mathematical model are given.

Publisher

EDP Sciences

Reference8 articles.

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3. Karimov K.A., Karimov R.I., Akhmedov A.Kh., Development of the theoretical foundations of mechanisms with controlled parameters and constraints. Monograph (Tashkent State Technical University, Tashkent, 2016)

4. Karimov K.A., Umurzakov A.Kh., Theory and design of friction mechanisms with controlled friction. Monograph (Tashkent State Technical University, Tashkent, 2015)

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