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The dynamics of musical strings

Authors: Maurice Hancock;

The dynamics of musical strings

Abstract

The resonance contours of a number of musical strings have been traced when operating in isolation from an instrument body, with more precisely defined loading and terminal conditions than are found in normal use, and with very small excitation amplitudes. For plain steel piano strings, results from the fundamental to the 25th overtone are broadly in accordance with the predictions of the standard classical theory for a lossy stiff string, but close agreement with calculated data cannot be obtained for any one set of the relevant parameters, and some disturbing influences are clearly in operation. Some of the resonances show double peaks suggestive of close coupling between slightly dissimilar modes, and for these and the single peaks, associated transverse resonances perpendicular to the line of the driving force are often found. A copper wire string hammered to produce an exaggerated linear distribution of deformation shows a more pronounced pattern of double and transverse resonances, and it is surmised that these occurrences with the steel strings are due to small departures from exact cylindrical uniformity. Overwound strings show similar anomalies with significantly higher losses.

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
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