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http://dx.doi.org/10.7776/ASK.2019.38.6.710

Transmission line based bowed string model  

Lee, Jingeol (Department of Electrical Engineering, Pai Chai University)
Abstract
A transmission line based bowed string model is built by analogizing a vibrating string to an electrical transmission line and implementing the calculation for the frictional bow-string force given by a digital bow into a circuit. The performance of the proposed model is demonstrated by showing that the velocity of the string at the bowing point from the proposed model is consistent with that from the finite difference form of the wave equation for a bowed string by the digital bow.
Keywords
Transmission line; Traveling wave; Bowed string; Frictional force;
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Times Cited By KSCI : 1  (Citation Analysis)
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1 N. H. Fletcher and T. D. Rossing, The Physics of Musical Instruments, 2nd Ed. (Springer Verlag, New York, 1998), pp. 46-50.
2 M. E. McIntyre, R. T. Schumacher, and J. Woodhouse, "On the oscillations of musical instruments," J. Acoust. Soc. Am. 74, 1325-1345 (1983).   DOI
3 G. Weinreich and R. Causse, "Elementary stability considerations for bowed-string motion," J. Acoust. Soc. Am. 89, 887-895 (1991).   DOI
4 J. O. Smith, "Physical modeling using digital waveguides," Comput Music J. 16, 74-91 (1992).   DOI
5 N. J. Giordano and H. Nakanishi, Computational Physics, 2nd Ed. (Prentice Hall, New Jersey, 2005), pp. 367-372.
6 R. Pitteroff and J. Woodhouse, "Mechanics of the contact area between a violin bow and a string, part ii: Simulating the bowed string," Acta Acustica, 84, 744-757 (1998).
7 R. Pitteroff and J. Woodhouse, "Mechanics of the contact area between a violin bow and a string, part iii: Parameter dependence," Acta Acustica, 84, 929-946 (1998).
8 W. E. Kock, "The vibrating string considered as an electrical transmission line," J. Acoust. Soc. Am. 8, 227-233 (1937).   DOI
9 J. C. Schelleng, "The violin as a circuit," J. Acoust. Soc. Am. 35, 326-338 (1963).   DOI
10 R. J. Clarke, "The analysis of mutiple resonance in a vibrating mechanical system by the use of the electrical transmission line analogy," Acustica 40, 34-39 (1978).
11 J. Lee and M. French, "Transmission line based plucked string model," J. Acoust. Soc. Kr. 32, 361-368 (2013).   DOI
12 J. Lee and M. French, "Circuit based classical guitar model," Appl Acoust. 97, 96-103 (2015).   DOI
13 J. Lee, "Transmission line based struck string model," Appl Acoust. 111, 1-7 (2016).   DOI