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A MODEL SYSTEM FOR THE BEHAVIOR OF TWO NON-LINEARLY COUPLED OSCILLATORS

โœ Scribed by A. Maccari

Publisher
Elsevier Science
Year
1998
Tongue
English
Weight
282 KB
Volume
215
Category
Article
ISSN
0022-460X

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โœฆ Synopsis

This paper presents a systematic analysis approach for the study of two non-linearly coupled oscillators, with incommensurable fundamental frequencies. The asymptotic perturbation method is used to analyze a bifurcation problem of codimension two. It is found that the amplitude modulation equations are equal to normal forms equations available in the literature. Approximate analytic solutions for generic quadratic and cubic non-linearities can be constructed. The results obtained from a computer simulation based on a fifth order Runge-Kutta-Fehlberg scheme confirm the validity of the asymptotic perturbation method. The method is illustrated by applying it to a two-rod system subjected to aerodynamic excitation.

๐Ÿ“œ SIMILAR VOLUMES

THE STEELPAN AS A SYSTEM OF NON-LINEAR M
THE STEELPAN AS A SYSTEM OF NON-LINEAR MODE-LOCALIZED OSCILLATORS, PART II: COUPLED SUB-SYSTEMS, SIMULATIONS AND EXPERIMENTS
โœ A Achong; K.A Sinanan-Singh ๐Ÿ“‚ Article ๐Ÿ“… 1997 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 268 KB

This paper is a sequel to reference [1]. In that paper, the dynamics of the steelpan notes were developed as systems of non-linear mode-localized oscillators. The present paper examines the coupled note-note and note-skirt systems on the steelpan modelled as a plexus of non-linear oscillators interc