NUMERICAL METHODS FOR SOLVING "RIGID SYSTEMS" APPLIED FOR THE PROBLEM OF THE DYNAMICS OF HEAVY-LOADED BEARINGS

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Published: Mar 15, 2015
Keywords:
heavy-loaded bearings the problem of dynamics "rigid system" methods of prediction-correction order of convergence.

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Yuriy Rozhdestvenskiy
South Ural State University
Elena Zadorozhnaya
South Ural State University
Roman Chuchelov
South Ural State University
Dmitriy Raskatov
South Ural State University

Abstract

The problem of the dynamics of fluid friction bearings was formulated in the article. For "rigid system" the classical methods of integration of the system of differential equation of movement proved to be unsuitable because of the need to reduce the next step of integration in some parts of the journal center trajectory to very small values. We have described the main approaches that used for solving the problem. We also presented the main methods that have proven themselves in the solution of problems of the dynamics of rapidly rotating rotors and autonomous bearings of heat engines. Numerical methods for "rigid system" and algorithms for solving the problems of the dynamics were given. With the help of numerical experiments coefficients of the equations was performed. The step for calculating adjusted to the minimum value of the discrepancy.

Article Details

Issue
Vol. 2 No. 1 (2015): JOURNAL OF COMPUTATIONAL AND ENGINEERING MATHEMATICS
Section
Survey Articles
Author Biographies

Yuriy Rozhdestvenskiy, South Ural State University

Doctor of Technical Sciences, Professor, Academician of the Russian Academy of Transport, Dean of Faculty of Automobile and Tractor Engineering

Elena Zadorozhnaya, South Ural State University

Doctor of Technical Sciences, Associate Professor, Department of Motor Transports and Service of Automobiles

Roman Chuchelov, South Ural State University

Undergraduate, Department of Motor Transports and Service of Automobiles

Dmitriy Raskatov, South Ural State University

Undergraduate, Department of Motor Transports and Service of Automobiles

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