ALGORITHMIC REALIZATION FOR RESEARCH METHOD OF THE NONLINEAR DYNAMIC SYSTEMS

Ivanov Sergey E

2012 , VOLUME 12, 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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ALGORITHMIC REALIZATION FOR RESEARCH METHOD OF THE NONLINEAR DYNAMIC SYSTEMS

S. E. Ivanov

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Abstract

The algorithm for mathematical and software realization of research method of the nonlinear dynamic systems with three degrees of freedom is suggested. The nonlinear mathematical model of the dynamic system that contains polynomials to the fourth degree from phase variables with permanent and periodic parameters is examined. As a result of method application a nonlinear mathematical model of the system motion is brought to the autonomous kind, and the substantial parameters of the dynamic system motion are determined. An
algorithm of the modified method of polynomial transformations and algorithmic formulas of method software realization is given, and analysis of the device dynamic system with three degrees of freedom is conducted.

Keywords: algorithm of analytical transformation method, research methods, nonlinear systems with three degrees of freedom

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