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On the role of longitudinal string vibrations in the generation of violin sound

On the role of longitudinal string vibrations in the generation of violin sound
On the role of longitudinal string vibrations in the generation of violin sound

Using a shaker to excite the open G string at resonance, a series of dynamic tests are done to investigate the effect of different bridge and string termination mobilities on the transverse string vibration (TSV) displacement, and the LSV developed in the string. The effect of arching shape on the TSV, LSV and the radiated sound are investigated. Complementary evidence is gained from reciprocal excitation of the violin by a reverberant room sound field.

Above 1500Hz, the radiated sound pressure is dependent on the choice of the geometric parameters that relate the front and back plate shapes to each other. The spectrum of the radiated sound pressure is more closely related to the LSV spectrum than the spectrum of the TSV displacement. Below 1500Hz the radiated sound pressure varies as the inverse of the height of the belly cross arches in the end bouts.   Some of the TSV energy entering the violin is transformed into secondary LSV energy. This combines with the primary bellying LSV. The modal responses to the LSV force in the string apparently contribute significantly to the radiated sound.

The violin shows a different spectrum of radiated sound pressure per unit transverse force on the bridge from the string than published spectra of radiated sound pressure per unit of external force applied to the bridge.

The admittances of a violin bridge to forces applied directly by a vibrating string are estimated at 196 Hz intervals. The admittance to transverse force from the string is estimated to have a quite different spectrum from that found by others who applied an external force to the bridge of a violin with damped strings.  The estimated bridge pseudo-admittance to LSV force is found to be significantly higher than the admittance to transverse force. The powers exchanged between the string and the bridge via both LSV and TSV are estimated and compared with the radiated sound power.

University of Southampton
Harris, Nigel
88881e68-2487-4682-beec-08535abeb484
Harris, Nigel
88881e68-2487-4682-beec-08535abeb484

Harris, Nigel (2003) On the role of longitudinal string vibrations in the generation of violin sound. University of Southampton, Doctoral Thesis.

Record type: Thesis (Doctoral)

Abstract

Using a shaker to excite the open G string at resonance, a series of dynamic tests are done to investigate the effect of different bridge and string termination mobilities on the transverse string vibration (TSV) displacement, and the LSV developed in the string. The effect of arching shape on the TSV, LSV and the radiated sound are investigated. Complementary evidence is gained from reciprocal excitation of the violin by a reverberant room sound field.

Above 1500Hz, the radiated sound pressure is dependent on the choice of the geometric parameters that relate the front and back plate shapes to each other. The spectrum of the radiated sound pressure is more closely related to the LSV spectrum than the spectrum of the TSV displacement. Below 1500Hz the radiated sound pressure varies as the inverse of the height of the belly cross arches in the end bouts.   Some of the TSV energy entering the violin is transformed into secondary LSV energy. This combines with the primary bellying LSV. The modal responses to the LSV force in the string apparently contribute significantly to the radiated sound.

The violin shows a different spectrum of radiated sound pressure per unit transverse force on the bridge from the string than published spectra of radiated sound pressure per unit of external force applied to the bridge.

The admittances of a violin bridge to forces applied directly by a vibrating string are estimated at 196 Hz intervals. The admittance to transverse force from the string is estimated to have a quite different spectrum from that found by others who applied an external force to the bridge of a violin with damped strings.  The estimated bridge pseudo-admittance to LSV force is found to be significantly higher than the admittance to transverse force. The powers exchanged between the string and the bridge via both LSV and TSV are estimated and compared with the radiated sound power.

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Published date: 2003

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Local EPrints ID: 464926
URI: http://eprints.soton.ac.uk/id/eprint/464926
PURE UUID: e965ce2c-782a-4496-a10d-2d9b0031f41c

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Date deposited: 05 Jul 2022 00:11
Last modified: 16 Mar 2024 19:50

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Author: Nigel Harris

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