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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
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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.
Academic Editor: Vesa Valimaki
Appl. Sci. 2016, 6(5), 135; https://doi.org/10.3390/app6050135
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)
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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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. https://doi.org/10.3390/app6050135

AMA 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. Applied Sciences. 2016; 6(5):135. https://doi.org/10.3390/app6050135

Chicago/Turabian Style

Desvages, Charlotte; Bilbao, Stefan. 2016. "Two-Polarisation Physical Model of Bowed Strings with Nonlinear Contact and Friction Forces, and Application to Gesture-Based Sound Synthesis" Appl. Sci. 6, no. 5: 135. https://doi.org/10.3390/app6050135

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