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Piano string vibration modelling using coupled mobilities and a state- space approach

Piano string vibration modelling using coupled mobilities and a state- space approach
Piano string vibration modelling using coupled mobilities and a state- space approach
The two transverse motions of the string in planes parallel and perpendicular to the soundboard are believed to contribute to some of the characteristic effects of piano tones. In this work we aim to model the coupling between a single string and soundboard, considering the two transverse motions. A stiff string model is coupled to the bridge of the soundboard. Modelling approaches are presented in both frequency and time domain, using mobility coupling and state-space equations, respectively. For time domain modelling, the soundboard mobilities are approximated by lumped elements, springs and dampers in this case. In the frequency domain model, the mobilities of the elongated string, detached from the bridge, corresponding to the transverse response to a transverse force, are the same in both directions and the coupling between them is neglected, while the soundboard mobilities are represented by a 22 matrix. The state-space model has the benefit of allowing inclusion of the non-linear hammer excitation. Although the frequency domain model can represent the linear characteristics of the coupling and give an insight into the importance of the cross-terms of the coupled mobility, it is the time domain model that is able to represent typical features of the interaction.
Valiente, Pablo Miranda
5e6d99eb-2e25-460d-a88c-790f0955897a
Squicciarini, Giacomo
c1bdd1f6-a2e8-435c-a924-3e052d3d191e
Thompson, David J
bca37fd3-d692-4779-b663-5916b01edae5
Valiente, Pablo Miranda
5e6d99eb-2e25-460d-a88c-790f0955897a
Squicciarini, Giacomo
c1bdd1f6-a2e8-435c-a924-3e052d3d191e
Thompson, David J
bca37fd3-d692-4779-b663-5916b01edae5

Valiente, Pablo Miranda, Squicciarini, Giacomo and Thompson, David J (2022) Piano string vibration modelling using coupled mobilities and a state- space approach. Inter Noise 2022, , Glasgow, United Kingdom. 21 - 24 Aug 2022.

Record type: Conference or Workshop Item (Paper)

Abstract

The two transverse motions of the string in planes parallel and perpendicular to the soundboard are believed to contribute to some of the characteristic effects of piano tones. In this work we aim to model the coupling between a single string and soundboard, considering the two transverse motions. A stiff string model is coupled to the bridge of the soundboard. Modelling approaches are presented in both frequency and time domain, using mobility coupling and state-space equations, respectively. For time domain modelling, the soundboard mobilities are approximated by lumped elements, springs and dampers in this case. In the frequency domain model, the mobilities of the elongated string, detached from the bridge, corresponding to the transverse response to a transverse force, are the same in both directions and the coupling between them is neglected, while the soundboard mobilities are represented by a 22 matrix. The state-space model has the benefit of allowing inclusion of the non-linear hammer excitation. Although the frequency domain model can represent the linear characteristics of the coupling and give an insight into the importance of the cross-terms of the coupled mobility, it is the time domain model that is able to represent typical features of the interaction.

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More information

Published date: 2022
Venue - Dates: Inter Noise 2022, , Glasgow, United Kingdom, 2022-08-21 - 2022-08-24

Identifiers

Local EPrints ID: 473287
URI: http://eprints.soton.ac.uk/id/eprint/473287
PURE UUID: e74c188c-bb6b-44ff-9005-2335ef1085d7
ORCID for Giacomo Squicciarini: ORCID iD orcid.org/0000-0003-2437-6398
ORCID for David J Thompson: ORCID iD orcid.org/0000-0002-7964-5906

Catalogue record

Date deposited: 13 Jan 2023 17:49
Last modified: 23 Feb 2023 02:57

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