The modified Poincare-Dulac method in analysis of autooscillations of nonlinear mechanical systems

The modified Poincare-Dulac method in analysis of autooscillations of nonlinear mechanical systems

A dynamic equation of a mechanical system with one degree of freedom with functionally odd nonlinear recover forces and small dissipative forces is considered. An improved method of transformation and integration of the equation, based on a method of normalization of Poincare-Dulac is developed. The...

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Veröffentlicht in:Journal of physics. Conference series 2014-12, Vol.570 (2), p.22002
Hauptverfasser: Melnikov, Gennady I, Ivanov, Sergei E, Melnikov, Vitaly G
Format: Artikel
Sprache:eng
Schlagworte:
Chebyshev approximation
Mechanical systems
Nonlinear systems
Physics
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Zusammenfassung:A dynamic equation of a mechanical system with one degree of freedom with functionally odd nonlinear recover forces and small dissipative forces is considered. An improved method of transformation and integration of the equation, based on a method of normalization of Poincare-Dulac is developed. The improvement of the method is in application of the Chebyshev's economization to high-order nonlinear terms.
ISSN:1742-6588
1742-6596
DOI:10.1088/1742-6596/570/2/022002