Simulation of Gear Dynamics by Circuit Theory Methods

Article ID

4E4RU

Simulation of Gear Dynamics by Circuit Theory Methods

Evgueni I. Podzharov
Evgueni I. Podzharov University of Guadalajara
Jorge Alberto Torres Guilln
Jorge Alberto Torres Guilln
Julia Patricia Ponce Navarro
Julia Patricia Ponce Navarro
DOI

Abstract

A methodology of study of gear dynamics with the aid of the circuit theory and linear graph methods is presented. In terms of analogy of the force, electric tension is used for the composition of equivalent electrical circuit, which immediately gives the equations of motion. The application of the electrical analogy method for the automation of composition of equation of motion and their analysis are considered for the classical example of a one-stage gear transmission with flexible supports and coupling masses. This technique can be extended to analyse the dynamic characteristics of more complex dynamic systems as a planetary transmission with flexible supports.

A methodology of study of gear dynamics with the aid of the circuit theory and linear graph methods is presented. In terms of analogy of the force, electric tension is used for the composition of equivalent electrical circuit, which immediately gives the equations of motion. The application of the electrical analogy method for the automation of composition of equation of motion and their analysis are considered for the classical example of a one-stage gear transmission with flexible supports and coupling masses. This technique can be extended to analyse the dynamic characteristics of more complex dynamic systems as a planetary transmission with flexible supports.

Evgueni I. Podzharov
Evgueni I. Podzharov University of Guadalajara
Jorge Alberto Torres Guilln
Jorge Alberto Torres Guilln
Julia Patricia Ponce Navarro
Julia Patricia Ponce Navarro

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Evgueni I. Podzharov. 2014. “. Global Journal of Research in Engineering – A : Mechanical & Mechanics GJRE-A Volume 14 (GJRE Volume 14 Issue A8): .

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Crossref Journal DOI 10.17406/gjre

Print ISSN 0975-5861

e-ISSN 2249-4596

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Simulation of Gear Dynamics by Circuit Theory Methods

Evgueni I. Podzharov
Evgueni I. Podzharov University of Guadalajara
Jorge Alberto Torres Guilln
Jorge Alberto Torres Guilln
Julia Patricia Ponce Navarro
Julia Patricia Ponce Navarro

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