Efficient simulation of the bowed string in modal form

Riccardo Russo*, Michele Ducceschi, Stefan Bilbao

*Corresponding author for this work

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Abstract

The motion of a bowed string is a typical nonlinear phenomenon resulting from a friction force via interaction with the bow. The system can be described using suitable differential equations. Implicit numerical discretisation methods are known to yield energy consistent algorithms, essential to ensure stability of the \sloppy time-stepping schemes. However, reliance on iterative nonlinear root finders carries significant implementation issues. This paper explores a method recently developed which allows nonlinear systems of ordinary differential equations to be solved non-iteratively. Case studies of a mass-spring system and an ideal string coupled with a bow are investigated. Finally, a stiff string with loss is also considered. Combining semi-discretisation and a modal approach results in an algorithm yielding faster than real-time simulation of typical musical strings.
Original languageEnglish
Title of host publicationProceedings of the 25th International Conference on Digital Audio Effects DAFx-2022, Vienna
EditorsGianpaolo Evengelista, Nicki Holighaus
Place of PublicationVienna, Austria
Pages122-129
Number of pages8
Publication statusPublished - 10 Sep 2022
EventInternational Conference on Digital Audio Effects - Vienna, Austria
Duration: 6 Sep 202210 Sep 2022

Publication series

NameProceedings of the International Conference on Digital Audio Effects
ISSN (Print)2413-6700
ISSN (Electronic)2413-6689

Conference

ConferenceInternational Conference on Digital Audio Effects
Country/TerritoryAustria
CityVienna
Period6/09/2210/09/22

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