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Mode locking in nonlinearly excited inharmonic musical oscillators

Fletcher, Neville H

Description

Many musical instruments consist essentially of resonant systems having only approximately harmonic normal modes and excited by a force that depends nonlinearly on the velocities associated with those modes. An approximate condition is derived for the resulting sound spectrum to consist of components rigorously locked into harmonic relationship. Such mode locking is favored by nearly harmonic normal mode frequencies, by large mode amplitudes, and by large nonlinearity in the driving force.

dc.contributor.authorFletcher, Neville H
dc.date.accessioned2020-10-16T04:05:22Z
dc.date.available2020-10-16T04:05:22Z
dc.identifier.issn0001-4966
dc.identifier.urihttp://hdl.handle.net/1885/212562
dc.description.abstractMany musical instruments consist essentially of resonant systems having only approximately harmonic normal modes and excited by a force that depends nonlinearly on the velocities associated with those modes. An approximate condition is derived for the resulting sound spectrum to consist of components rigorously locked into harmonic relationship. Such mode locking is favored by nearly harmonic normal mode frequencies, by large mode amplitudes, and by large nonlinearity in the driving force.
dc.format.mimetypeapplication/pdf
dc.language.isoen_AU
dc.publisherThe Acoustical Society of America
dc.rights© 1978 The Acoustical Society of America
dc.sourceThe Journal of the Acoustical Society of America
dc.titleMode locking in nonlinearly excited inharmonic musical oscillators
dc.typeJournal article
local.description.notesThe author was affiliated with University of New England when the paper was published
local.identifier.citationvolume64
dc.date.issued1978
local.publisher.urlhttp://asa.scitation.org
local.type.statusPublished Version
local.contributor.affiliationFletcher, N. H., Department of Electronic Materials Engineering, The Australian National University
local.bibliographicCitation.issue6
local.bibliographicCitation.startpage1566
local.bibliographicCitation.lastpage1569
local.identifier.doi10.1121/1.382139
dcterms.accessRightsOpen Access
dc.provenancehttps://v2.sherpa.ac.uk/id/publication/4049..."The published version can be archived in an Institutional Website. 6 months embargo" from SHERPA/RoMEO site (as at 16/10/2020). Copyright 1978 Acoustical Society of America. This article may be downloaded for personal use only. Any other use requires prior permission of the author and the Acoustical Society of America
CollectionsANU Research Publications

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