NDLI: Análise da dinâmica de um sistema vibrante não ideal de dois graus de liberdade

Content Provider	Semantic Scholar
Author	Cauz, Luiz Oreste
Copyright Year	2005
Abstract	In this work we present a study of the dynamics of a non-ideal vibrating system, composed by a motor and a spring, which is known as centrifugal vibrator. The purpose of this study is to show the difference of behavior of the system when we consider hard springs (positive coefficient of cubical elasticity) or soft springs (negative coefficient of cubical elasticity). For hard spring the stability of the fixed point was analyzed, and by means of the Central Manifolds Theory and the Bezout theorem the existence of the Hopf Bifurcation is shown. For soft spring, it is shown the existence of a heteroclinic orbit connecting two saddle points. Using the classical Melnikov method it is discussed the existence, or not, of the chaotic behavior for some energy level and certain values of the damping coefficient. All the analysis is followed by numerical simulations to confirm the results.
File Format	PDF HTM / HTML
Alternate Webpage(s)	http://livros01.livrosgratis.com.br/cp010506.pdf
Language	English
Access Restriction	Open
Content Type	Text
Resource Type	Article

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