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ORIGINAL RESEARCH article
Front. Signal Process.
Sec. Audio and Acoustic Signal Processing
Volume 5 - 2025 | doi: 10.3389/frsip.2025.1525044
This article is part of the Research Topic Sound Synthesis through Physical Modeling View all 4 articles
Numerical modelling of elasto-plastic friction in bow-string interaction with guaranteed passivity
Provisionally accepted- 1 University of Music and Performing Arts Vienna, Vienna, Austria
- 2 Queen's University Belfast, Belfast, Northern Ireland, United Kingdom
In order to simulate the function of bowed-string instruments, one needs to model the frictional interaction between the bow hair and the vibrating string. This is possible using an elasto-plastic friction model, which has previously succeeded in reproducing experimental data captured on a monochord setup. In this work, this elasto-plastic model is refined to guarantee passivity, and a stable numerical scheme is derived that inherits the energy balance of the underlying continuous model. The presented approach considers a finite-width bow, thus spreading the bow-string interaction over an area. The compliance of the bow hair and the torsional motion of the string are also taken into account. A sound example and animations of the string motion are provided to demonstrate the behaviour of the model.
Keywords: bowed mass, bow-string interaction, Friction, Passivity, Finite differences
Received: 08 Nov 2024; Accepted: 11 Mar 2025.
Copyright: © 2025 Matusiak, Chatziioannou and Van Walstijn. This is an open-access article distributed under the terms of the Creative Commons Attribution License (CC BY). The use, distribution or reproduction in other forums is permitted, provided the original author(s) or licensor are credited and that the original publication in this journal is cited, in accordance with accepted academic practice. No use, distribution or reproduction is permitted which does not comply with these terms.
* Correspondence:
Ewa Matusiak, University of Music and Performing Arts Vienna, Vienna, Austria
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