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Abstract
Bowed string sound synthesis has long relied on physical modelling techniques; the achievable realism and flexibility of gestural control are appealing, and computational cost is increasingly manageable as technology has improved. A bowed string is simulated in two polarisations by numerically solving the partial differential equations governing its behaviour, using the finite difference method; a globally energy balanced scheme is used, as a guarantee of numerical stability under highly nonlinear conditions. In the vertical polarisation, a nonlinear contact model is used for the normal forces exerted by the bow hair, left hand fingers, and fingerboard. In the horizontal polarisation, a force-velocity friction curve is used for the resulting tangential forces in the other polarisation. The scheme update requires the solution of two nonlinear vector equations; iterative methods (in this case, the Newton-Raphson method) are employed. Sound examples and video demonstrations are presented.
Original language | English |
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Title of host publication | Proceedings of the 18th International Conference on Digital Audio Effects |
Place of Publication | Trondheim, Norway |
Number of pages | 8 |
Publication status | Published - 30 Nov 2015 |
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Dive into the research topics of 'Two-polarisation finite difference model of bowed strings with nonlinear contact and friction forces'. Together they form a unique fingerprint.Projects
- 1 Finished
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NESS - Listening to the future: Next-generation Sound Synthesis through Simulation
1/01/12 → 31/12/16
Project: Research