RESEARCH OF NONLINEAR DYNAMIC SYSTEMS WITH THREE DEGREES OF FREEDOM

Ivanov Sergey E

2011 , VOLUME 11, NUMBER 4 ( JULY-AUGUST )

ISSN 2226-1494 (print), ISSN 2500-0373 (online)

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Editor-in-Chief

Nikiforov
Vladimir O.
D.Sc., Prof.

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RESEARCH OF NONLINEAR DYNAMIC SYSTEMS WITH THREE DEGREES OF FREEDOM

S. E. Ivanov

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Abstract

The mathematical model of dynamic system with three degrees of freedom, with nonlinear right members in the form of polynomials to the fourth degree from phase variables with constant and periodic parameters is considered. The system movement equations are reduced to an autonomous form by the method of polynomial transformations. The essential constants characterizing transient and determined oscillation modes are defined. The algorithm of a polynomial transformations method and algorithmic formulas of program realization are given.

Keywords: nonlinear system with three degrees of freedom, methods of nonlinear systems research, determined oscillation mode.

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