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VIBRATIONS IN A PARAMETRICALLY EXCITED SYSTEM

✍ Scribed by LIVIJA CVETICANIN

Publisher
Elsevier Science
Year
2000
Tongue
English
Weight
232 KB
Volume
229
Category
Article
ISSN
0022-460X

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✦ Synopsis

This paper deals with vibrations of parametrically excited non-linear systems with one degree of freedom. The non-linearity is cubic and is of the same order as the linear terms. The parametric vibrations are excited by a periodical force of Jacobi elliptic type. The mathematical model of the system is a special type of non-linear Hill's equation. The analytical approximate solution of the equation is obtained applying the elliptic-Krylov}Bogolubov method (method of variable phase and amplitude) developed for strong non-linear di!erential equation of Du$ng type. It enables the regions of unbounded solution to be de"ned approximately. The parameters of a dynamic absorber which transforms the motion to regular are calculated in this paper.

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