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Appl. Sci. 2016, 6(5), 135; doi:10.3390/app6050135

Two-Polarisation Physical Model of Bowed Strings with Nonlinear Contact and Friction Forces, and Application to Gesture-Based Sound Synthesis

Acoustics and Audio Group, University of Edinburgh, Edinburgh EH9 3FD, Scotland, UK
This paper is an extended version of paper published in the International Conference on Digital Audio Effects (DAFx-15), Trondheim, Norway, 30 November–3 December 2015.
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Academic Editor: Vesa Valimaki
Received: 15 March 2016 / Revised: 15 April 2016 / Accepted: 26 April 2016 / Published: 10 May 2016
(This article belongs to the Special Issue Audio Signal Processing)
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Abstract

Recent bowed string sound synthesis has relied on physical modelling techniques; the achievable realism and flexibility of gestural control are appealing, and the heavier computational cost becomes less significant as technology improves. A bowed string sound synthesis algorithm is designed, by simulating two-polarisation string motion, discretising the partial differential equations governing the string’s behaviour with the finite difference method. A globally energy balanced scheme is used, as a guarantee of numerical stability under highly nonlinear conditions. In one polarisation, a nonlinear contact model is used for the normal forces exerted by the dynamic bow hair, left hand fingers, and fingerboard. In the other polarisation, a force-velocity friction curve is used for the resulting tangential forces. The scheme update requires the solution of two nonlinear vector equations. The dynamic input parameters allow for simulating a wide range of gestures; some typical bow and left hand gestures are presented, along with synthetic sound and video demonstrations. View Full-Text
Keywords: computer generated music; finite difference; musical acoustics; signal synthesis; nonlinear systems; energy balanced scheme; instrument simulation computer generated music; finite difference; musical acoustics; signal synthesis; nonlinear systems; energy balanced scheme; instrument simulation
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This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. (CC BY 4.0).

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MDPI and ACS Style

Desvages, C.; Bilbao, S. Two-Polarisation Physical Model of Bowed Strings with Nonlinear Contact and Friction Forces, and Application to Gesture-Based Sound Synthesis. Appl. Sci. 2016, 6, 135.

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