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Numerical modelling of elasto-plastic friction in bow–string interaction with guaranteed passivity

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  • cris.virtual.department
    University of Music and Performing Arts Vienna
    University of Music and Performing Arts Vienna
  • cris.virtual.orcid
    0000-0002-5410-4724
  • dc.contributor.author
    Matusiak, Ewa
    Chatziioannou, Vasileios
    van Walstijn, Maarten
  • dc.date.accessioned
    2025-06-26T08:01:57Z
  • dc.date.available
    2025-06-26T08:01:57Z
  • dc.date.issued
    2025-05-21
  • dc.description.abstract
    In order to simulate the function of bowed string instruments, it is necessary to model the frictional interaction between the bow hair and the vibrating string. This is possible using an elasto-plastic friction model, which has previously succeeded in reproducing experimental data captured on a monochord setup. In this study, this elasto-plastic model is refined to guarantee passivity, and a stable numerical scheme is derived that inherits the energy balance of the underlying continuous model. The approach presented considers a finite-width bow, thus spreading the bow–string interaction over an area. The compliance of the bow hair and the torsional motion of the string are also taken into account. A sound example and animations of the string motion are provided to demonstrate the behavior of the model.
  • dc.description.provenance
    Submitted by Ewa Matusiak (matusiak@mdw.ac.at) on 2025-06-26T08:01:57Z workflow start=Step: checkcorrectionstep - action:noUserSelectionAction No. of bitstreams: 0
    Made available in DSpace on 2025-06-26T08:01:57Z (GMT). No. of bitstreams: 0 Previous issue date: 2025-05-21
  • dc.identifier.citation
    Matusiak E, Chatziioannou V and Van Walstijn M (2025) Numerical modelling of elasto-plastic friction in bow–string interaction with guaranteed passivity. Front. Signal Process. 5:1525044. doi: 10.3389/frsip.2025.1525044
  • dc.identifier.doi
    10.3389/frsip.2025.1525044
  • dc.identifier.uri
    https://dspace.mdw.ac.at/handle/123456789/22553
  • dc.language.iso
    en
  • dc.relation.journal
    Frontiers in Signal Processing
  • dc.rights.license
    CC-BY-4.0
  • dc.subject
    bowed mass
    bow–string interaction
    friction
    passivity
    finite differences
    energy methods
    numerical stability
    elasto-plastic
  • dc.title
    Numerical modelling of elasto-plastic friction in bow–string interaction with guaranteed passivity
  • dc.type
    text::journal::journal article
  • dspace.entity.type
    Publication
  • mdwlis.publication.firstRelease
    true
  • mdwlis.publication.mdwAttribution
    yes
  • mdwlis.subject.oefosDeKunstzweig
    NATURWISSENSCHAFTEN - Mathematik
    NATURWISSENSCHAFTEN - Andere Naturwissenschaften
  • mdwrepo.subject.percentage
    50
    50
  • oaire.citation.issue
    Volume 5 - 2025
  • oaire.citation.volume
    Special Issue: Sound Synthesis through Physical Modeling
  • oairecerif.author.affiliation
    University of Music and Performing Arts Vienna
    University of Music and Performing Arts Vienna
    Queen’s University Belfast