Computational modelling of string–body interaction for the
violin family and simulation of wolf notes
Computational modelling of string–body interaction for the
violin family and simulation of wolf notes
Most theoretical studies of bowed-string instruments deal with isolated strings, pinned on fixed supports. In others, the instrument body dynamics have been accounted by using extremely simplified models of the string–body interaction
through the instrument bridge. Such models have, nevertheless, been instrumental to the understanding of a very common and musically undesirable phenomenon known as the wolf note—a strong beating interplay between string and body vibrations. Cellos, bad and good, are particularly prone to this problem.
In previous work, a computational method that allows efficient time-domain modelling of bowed strings based on a
modal approach has been introduced. This has been extended to incorporate the complex dynamics of real-life instrument
bodies, and their coupling to the string motions, using experimental dynamical body data. The string is modelled using its unconstrained modes, assuming pinned–pinned boundary conditions at the tailpiece and the nut. At the intermediary bridge location, the string–body coupling is enforced using the body impulse-response or modal data, as measured at the instrument bridge.
In the present paper, this computational approach is applied to a specific cello, which provided experimental wolf behaviour data under several bowing conditions, as well as laboratory measurements of the bridge impulse responses on which the numerical simulations were based. Interesting aspects of the string–body dynamical responses are highlighted by numerical simulations and the corresponding sounds and animations produced. Finally, a qualitative (and, when possible, quantitative) comparison of the experimental and numerical results is presented.
260-286
Inacio, O.
f4250b5f-1910-4106-b045-3ab08e8f62b9
Antunes, J.
73e2da57-0520-4ca4-88c7-be95be0f1dfc
Wright, M.C.M.
b7209187-993d-4f18-8003-9f41aaf88abf
5 February 2008
Inacio, O.
f4250b5f-1910-4106-b045-3ab08e8f62b9
Antunes, J.
73e2da57-0520-4ca4-88c7-be95be0f1dfc
Wright, M.C.M.
b7209187-993d-4f18-8003-9f41aaf88abf
Inacio, O., Antunes, J. and Wright, M.C.M.
(2008)
Computational modelling of string–body interaction for the
violin family and simulation of wolf notes.
Journal of Sound and Vibration, 310 (1-2), .
(doi:10.1016/j.jsv.2007.07.079).
Abstract
Most theoretical studies of bowed-string instruments deal with isolated strings, pinned on fixed supports. In others, the instrument body dynamics have been accounted by using extremely simplified models of the string–body interaction
through the instrument bridge. Such models have, nevertheless, been instrumental to the understanding of a very common and musically undesirable phenomenon known as the wolf note—a strong beating interplay between string and body vibrations. Cellos, bad and good, are particularly prone to this problem.
In previous work, a computational method that allows efficient time-domain modelling of bowed strings based on a
modal approach has been introduced. This has been extended to incorporate the complex dynamics of real-life instrument
bodies, and their coupling to the string motions, using experimental dynamical body data. The string is modelled using its unconstrained modes, assuming pinned–pinned boundary conditions at the tailpiece and the nut. At the intermediary bridge location, the string–body coupling is enforced using the body impulse-response or modal data, as measured at the instrument bridge.
In the present paper, this computational approach is applied to a specific cello, which provided experimental wolf behaviour data under several bowing conditions, as well as laboratory measurements of the bridge impulse responses on which the numerical simulations were based. Interesting aspects of the string–body dynamical responses are highlighted by numerical simulations and the corresponding sounds and animations produced. Finally, a qualitative (and, when possible, quantitative) comparison of the experimental and numerical results is presented.
This record has no associated files available for download.
More information
Accepted/In Press date: 30 July 2007
e-pub ahead of print date: 3 October 2007
Published date: 5 February 2008
Organisations:
Acoustics Group
Identifiers
Local EPrints ID: 377847
URI: http://eprints.soton.ac.uk/id/eprint/377847
ISSN: 0022-460X
PURE UUID: a15688b9-e42f-4970-b761-47b406ffbd22
Catalogue record
Date deposited: 24 Jun 2015 10:52
Last modified: 15 Mar 2024 02:47
Export record
Altmetrics
Contributors
Author:
O. Inacio
Author:
J. Antunes
Download statistics
Downloads from ePrints over the past year. Other digital versions may also be available to download e.g. from the publisher's website.
View more statistics
