Simulation of distributed contact in string instruments: A modal expansion approach

Maarten van Walstijn, Jamie Bridges

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

13 Citations (Scopus)
243 Downloads (Pure)

Abstract

Impactive contact between a vibrating string and a barrier is a strongly nonlinear phenomenon that presents several challenges in the design of numerical models for simulation and sound synthesis of musical string instruments. These are addressed here by applying Hamiltonian methods to incorporate distributed contact forces into a modal framework for discrete-time simulation of the dynamics of a stiff, damped string. The resulting algorithms have spectral accuracy, are unconditionally stable, and require solving a multivariate nonlinear equation that is guaranteed to have a unique solution. Exemplifying results are presented and discussed in terms of accuracy, convergence, and spurious high-frequency oscillations.
Original languageEnglish
Title of host publication24th European Signal Processing Conference (Eusipco 2016)
Pages1023-1027
Number of pages5
ISBN (Electronic)2076-1465
DOIs
Publication statusPublished - 01 Dec 2016
Event2016 European Signal Processing Conference (EUSIPCO 2016) - Budapest, Hungary
Duration: 29 Aug 201602 Sep 2016

Conference

Conference2016 European Signal Processing Conference (EUSIPCO 2016)
CountryHungary
CityBudapest
Period29/08/201602/09/2016

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