Dynamical modelling of constrained flexible systems using a modal Udwadia-Kalaba formulation

Detalhes bibliográficos
Autor(a) principal: Debut, Vincent
Data de Publicação: 2017
Outros Autores: Antunes, José Manuel Vieira
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
Texto Completo: http://hdl.handle.net/10362/89520
Resumo: UID/EAT/00472/2013 EAT/00472/2013
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spelling Dynamical modelling of constrained flexible systems using a modal Udwadia-Kalaba formulationapplication to musical InstrumentsUID/EAT/00472/2013 EAT/00472/2013Most musical instruments consist of dynamical subsystems connected at a number of constraining points through which energy flows. For physical sound synthesis, one important difficulty deals with enforcing these coupling constraints. While standard techniques include the use of Lagrange multipliers or penalty methods, in this paper, a different approach is explored, the Udwadia-Kalaba (U-K) formulation, which is rooted on analytical dynamics but avoids the use of Lagrange multipliers. This general and elegant formulation has been nearly exclusively used for conceptual systems of discrete masses or articulated rigid bodies, namely, in robotics. However its natural extension to deal with continuous flexible systems is surprisingly absent from the literature. Here, such a modeling strategy is developed and the potential of combining the U-K equation for constrained systems with the modal description is shown, in particular, to simulate musical instru- ments. Objectives are twofold: (1) Develop the U-K equation for constrained flexible systems with subsystems modelled through unconstrained modes; and (2) apply this framework to compute string/body coupled dynamics. This example complements previous work [Debut, Antunes, Marques, and Carvalho, Appl. Acoust. 108, 3–18 (2016)] on guitar modeling using penalty meth- ods. Simulations show that the proposed technique provides similar results with a significant improvement in computational efficiency. VC 2017 Acoustical Society of America.Instituto de Etnomusicologia - Centro de Estudos em Música e Dança (INET-MD - NOVA FCSH)RUNDebut, VincentAntunes, José Manuel Vieira2019-12-06T23:11:50Z2017-02-082017-02-08T00:00:00Zinfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/article14application/pdfhttp://hdl.handle.net/10362/89520eng0001-4966PURE: 3367234https://doi.org/10.1121/1.4973534info:eu-repo/semantics/openAccessreponame:Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)instname:Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informaçãoinstacron:RCAAP2024-03-11T04:39:52Zoai:run.unl.pt:10362/89520Portal AgregadorONGhttps://www.rcaap.pt/oai/openaireopendoar:71602024-03-20T03:37:01.649033Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) - Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informaçãofalse
dc.title.none.fl_str_mv Dynamical modelling of constrained flexible systems using a modal Udwadia-Kalaba formulation
application to musical Instruments
title Dynamical modelling of constrained flexible systems using a modal Udwadia-Kalaba formulation
spellingShingle Dynamical modelling of constrained flexible systems using a modal Udwadia-Kalaba formulation
Debut, Vincent
title_short Dynamical modelling of constrained flexible systems using a modal Udwadia-Kalaba formulation
title_full Dynamical modelling of constrained flexible systems using a modal Udwadia-Kalaba formulation
title_fullStr Dynamical modelling of constrained flexible systems using a modal Udwadia-Kalaba formulation
title_full_unstemmed Dynamical modelling of constrained flexible systems using a modal Udwadia-Kalaba formulation
title_sort Dynamical modelling of constrained flexible systems using a modal Udwadia-Kalaba formulation
author Debut, Vincent
author_facet Debut, Vincent
Antunes, José Manuel Vieira
author_role author
author2 Antunes, José Manuel Vieira
author2_role author
dc.contributor.none.fl_str_mv Instituto de Etnomusicologia - Centro de Estudos em Música e Dança (INET-MD - NOVA FCSH)
RUN
dc.contributor.author.fl_str_mv Debut, Vincent
Antunes, José Manuel Vieira
description UID/EAT/00472/2013 EAT/00472/2013
publishDate 2017
dc.date.none.fl_str_mv 2017-02-08
2017-02-08T00:00:00Z
2019-12-06T23:11:50Z
dc.type.status.fl_str_mv info:eu-repo/semantics/publishedVersion
dc.type.driver.fl_str_mv info:eu-repo/semantics/article
format article
status_str publishedVersion
dc.identifier.uri.fl_str_mv http://hdl.handle.net/10362/89520
url http://hdl.handle.net/10362/89520
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv 0001-4966
PURE: 3367234
https://doi.org/10.1121/1.4973534
dc.rights.driver.fl_str_mv info:eu-repo/semantics/openAccess
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv 14
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collection Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
repository.name.fl_str_mv Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) - Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informação
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