Tunable collisions: hammer-string simulation with time-variant parameters

Maarten van Walstijn, Vasileios Chatziioannou, Abhiram Bhanuprakash

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

1 Citation (Scopus)
42 Downloads (Pure)

Abstract

In physical modelling synthesis, articulation and tuning are effected via time-variation in one or more parameters. Adopting hammered strings as a test case, this paper develops extended forms of such control, proposing a numerical formulation that affords on-line adjustment of each of its scaled-form parameters, including those featuring in the one-sided power law for modelling hammer-string collisions. Starting from a modally-expanded representation of the string, an explicit scheme is constructed based on quadratising the contact energy. Compared to the case of time-invariant contact parameters, updating the scheme's state variables relies on the evaluation of two additional analytic partial derivatives of the auxiliary variable. A numerical energy balance is derived and the numerical contact force is shown to be strictly non-adhesive. Example results with time-variant tension and time-variant contact stiffness are detailed, and real-time viability is demonstrated.
Original languageEnglish
Title of host publicationProceedings of the 26th International Conference on Digital Audio Effects (DAFx-23)
Number of pages9
Publication statusPublished - 04 Sept 2023
Event26th International Conference on Digital Audio Effects 2023 - Copenhagen, Denmark
Duration: 04 Sept 202307 Sept 2023

Publication series

NameInternational Conference on Digital Audio Effects (DAFx): proceedings

Conference

Conference26th International Conference on Digital Audio Effects 2023
Abbreviated titleDAFx23
Country/TerritoryDenmark
CityCopenhagen
Period04/09/202307/09/2023

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