Modelling collisions of nonlinear strings against rigid barriers: Conservative finite difference schemes with application to sound synthesis

Michele Ducceschi, Stefan Bilbao, Charlotte Desvages

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

Abstract

Strings are common elements found in many musical instruments. Various models of string dynamics exist, describing cases of increasing complexity. For fine-grained simulation of string dynamics, either in the context of musical acoustics investigation or for sound synthesis, linear models such as the wave equation with stiffness are, however, insufficient. Recent work has focused on the coupling of a KirchhoffCarrier nonlinear string model with collisions against lumped or distributed barriers, showing promising results. The collisions are described by means of a penalty potential, relying on a fictitious interpenetration but allowing a description within an energy-balanced framework. In this work, the same collision model is used, but the nonlinear string model is further developed, in order to allow complex modal coupling rules, as well as amplitude-dependent pitch. In order to handle such complex system, appropriate finite difference schemes are developed, using energy-balanced methods. Results of simulations are presented, along with some applications to sound synthesis.
Original languageEnglish
Title of host publicationProceedings of the 22nd International Congress on Acoustics
Place of PublicationBuenos Aires, Argentina
Number of pages10
Publication statusPublished - 5 Sep 2016

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