Eliciting harmonics on strings

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Eliciting Harmonics on Strings

One may produce the qth harmonic of a string of length π by applying the ‘correct touch’ at the node π/q during a simultaneous pluck or bow. This notion was made precise by a model of Bamberger, Rauch and Taylor. Their ‘touch’ is a damper of magnitude b concentrated at π/q. The ‘correct touch’ is that b for which the modes, that do not vanish at π/q, are maximally damped. We here examine the as...

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Lossless bowed strings have usually been thought to possess a motion discovered by Helmholtz in 1863. However, it was shown [Acustica 44, 194-206 {1980)] by the author that a more complicated standing wave motion, the $ motion, exists on such strings provided both the bowing distance and bowing force are above certain minimum values. This paper explores S-motion harmonics which give arise to wa...

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ژورنال

عنوان ژورنال: ESAIM: Control, Optimisation and Calculus of Variations

سال: 2008

ISSN: 1292-8119,1262-3377

DOI: 10.1051/cocv:2008004