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THE STEELPAN AS A SYSTEM OF NON-LINEAR MODE-LOCALIZED OSCILLATORS, I: THEORY, SIMULATIONS, EXPERIMENTS AND BIFURCATIONS

✍ Scribed by A. Achong

Publisher: Elsevier Science
Year: 1996
Tongue: English
Weight: 315 KB
Volume: 197
Category: Article
ISSN: 0022-460X
DOI: 10.1006/jsvi.1996.0543

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✦ Synopsis

By combining the method of multiple scales with the short-time Fourier transform, the vibrational motions of notes on the steelpan have been investigated analytically and experimentally. The motions on this musical instrument display many of the characteristics of non-linear dynamical systems, in particular, the partials are generated by internal resonances which lead to the exchange of energy between modes. In addition the results show the jump phenomenon and Hopf-type bifurcation in response to sinusoidal excitation, and dependence of the amplitude and spectral structures on the delivery of the stick impact when the instrument is played. Vibrational motions are localized within elliptical regions on the pan face. These aspects, together with the resulting coupling of mode frequency to amplitude, result in a musical instrument that is unique.

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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

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This paper is the third in the series on this topic. In the earlier papers, the dynamics of the steelpan notes were developed as systems of non-linear mode-localized oscillators which can show note-note and note-skirt coupling. The tonal qualities of a note depend on the coupling parameters and damp