Optimum design of flextensional piezoelectric actuators into two spatial dimensions

Autores
Amigo, R.; Giusti, Sebastian Miguel; Novotny, A. A.; Silva, E. C. N.; Sokolowski, J.
Año de publicación
2016
Idioma
inglés
Tipo de recurso
artículo
Estado
versión publicada
Descripción
Piezoelectric actuators are in common use for control of distributed parameter systems. We consider the topology optimization of a multiphysic model in piezoelectricity into two spatial dimensions. The topological derivative of a tracking-type shape functional is derived in its closed form for the purpose of shape optimization of piezoelectric actuators. The optimum design procedure is applied to a micromechanism which transforms the electrical energy supplemented via its piezoceramic part into the elastic energy of an actuator. The domain decomposition technique and the Steklov Poincaŕe pseudodifferential boundary operator are employed in the asymptotic analysis of the shape functional defined on a part of the boundary of the elastic body under consideration. The new method of sensitivity analysis is general and can be used for shape-topological optimization in a broad class of multiphysics models. Our numerical results confirm the efficiency of the proposed approach to optimum design in multiphysics.
Fil: Amigo, R.. Universidade de Sao Paulo; Brasil
Fil: Giusti, Sebastian Miguel. Universidad Tecnológica Nacional. Facultad Regional Córdoba. Departamento de Ingeniería Civil; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Austral de Investigaciones Científicas; Argentina
Fil: Novotny, A. A.. Laboratorio Nacional de Computacao Cientifica; Brasil
Fil: Silva, E. C. N.. Universidade de Sao Paulo; Brasil
Fil: Sokolowski, J.. University Henry Poincare; Francia
Materia
ASYMPTOTIC ANALYSIS
DIRICHLET-TO-NEUMANN MAP
DOMAIN DECOMPOSITION
PIEZOELECTRIC ACTUATOR
STEKLOV POINCAŔE OPERATOR
TOPOLOGICAL DERIVATIVE
TOPOLOGY DESIGN
Nivel de accesibilidad
acceso abierto
Condiciones de uso
https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
Repositorio
CONICET Digital (CONICET)
Institución
Consejo Nacional de Investigaciones Científicas y Técnicas
OAI Identificador
oai:ri.conicet.gov.ar:11336/71815
Acceder
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oai_identifier_str oai:ri.conicet.gov.ar:11336/71815
network_acronym_str CONICETDig
repository_id_str 3498
network_name_str CONICET Digital (CONICET)
spelling Optimum design of flextensional piezoelectric actuators into two spatial dimensionsAmigo, R.Giusti, Sebastian MiguelNovotny, A. A.Silva, E. C. N.Sokolowski, J.ASYMPTOTIC ANALYSISDIRICHLET-TO-NEUMANN MAPDOMAIN DECOMPOSITIONPIEZOELECTRIC ACTUATORSTEKLOV POINCAŔE OPERATORTOPOLOGICAL DERIVATIVETOPOLOGY DESIGNPiezoelectric actuators are in common use for control of distributed parameter systems. We consider the topology optimization of a multiphysic model in piezoelectricity into two spatial dimensions. The topological derivative of a tracking-type shape functional is derived in its closed form for the purpose of shape optimization of piezoelectric actuators. The optimum design procedure is applied to a micromechanism which transforms the electrical energy supplemented via its piezoceramic part into the elastic energy of an actuator. The domain decomposition technique and the Steklov Poincaŕe pseudodifferential boundary operator are employed in the asymptotic analysis of the shape functional defined on a part of the boundary of the elastic body under consideration. The new method of sensitivity analysis is general and can be used for shape-topological optimization in a broad class of multiphysics models. Our numerical results confirm the efficiency of the proposed approach to optimum design in multiphysics.Fil: Amigo, R.. Universidade de Sao Paulo; BrasilFil: Giusti, Sebastian Miguel. Universidad Tecnológica Nacional. Facultad Regional Córdoba. Departamento de Ingeniería Civil; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Austral de Investigaciones Científicas; ArgentinaFil: Novotny, A. A.. Laboratorio Nacional de Computacao Cientifica; BrasilFil: Silva, E. C. N.. Universidade de Sao Paulo; BrasilFil: Sokolowski, J.. University Henry Poincare; FranciaSociety for Industrial and Applied Mathematics2016-01info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionhttp://purl.org/coar/resource_type/c_6501info:ar-repo/semantics/articuloapplication/pdfapplication/pdfhttp://hdl.handle.net/11336/71815Amigo, R.; Giusti, Sebastian Miguel; Novotny, A. A.; Silva, E. C. N.; Sokolowski, J.; Optimum design of flextensional piezoelectric actuators into two spatial dimensions; Society for Industrial and Applied Mathematics; Siam Journal On Control And Optimization; 54; 2; 1-2016; 760-7890363-01291095-7138CONICET DigitalCONICETenginfo:eu-repo/semantics/altIdentifier/url/https://epubs.siam.org/doi/10.1137/151004860info:eu-repo/semantics/altIdentifier/doi/10.1137/151004860info:eu-repo/semantics/openAccesshttps://creativecommons.org/licenses/by-nc-sa/2.5/ar/reponame:CONICET Digital (CONICET)instname:Consejo Nacional de Investigaciones Científicas y Técnicas2025-09-29T09:48:22Zoai:ri.conicet.gov.ar:11336/71815instacron:CONICETInstitucionalhttp://ri.conicet.gov.ar/Organismo científico-tecnológicoNo correspondehttp://ri.conicet.gov.ar/oai/requestdasensio@conicet.gov.ar; lcarlino@conicet.gov.arArgentinaNo correspondeNo correspondeNo correspondeopendoar:34982025-09-29 09:48:22.689CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicasfalse
dc.title.none.fl_str_mv Optimum design of flextensional piezoelectric actuators into two spatial dimensions
title Optimum design of flextensional piezoelectric actuators into two spatial dimensions
spellingShingle Optimum design of flextensional piezoelectric actuators into two spatial dimensions
Amigo, R.
ASYMPTOTIC ANALYSIS
DIRICHLET-TO-NEUMANN MAP
DOMAIN DECOMPOSITION
PIEZOELECTRIC ACTUATOR
STEKLOV POINCAŔE OPERATOR
TOPOLOGICAL DERIVATIVE
TOPOLOGY DESIGN
title_short Optimum design of flextensional piezoelectric actuators into two spatial dimensions
title_full Optimum design of flextensional piezoelectric actuators into two spatial dimensions
title_fullStr Optimum design of flextensional piezoelectric actuators into two spatial dimensions
title_full_unstemmed Optimum design of flextensional piezoelectric actuators into two spatial dimensions
title_sort Optimum design of flextensional piezoelectric actuators into two spatial dimensions
dc.creator.none.fl_str_mv Amigo, R.
Giusti, Sebastian Miguel
Novotny, A. A.
Silva, E. C. N.
Sokolowski, J.
author Amigo, R.
author_facet Amigo, R.
Giusti, Sebastian Miguel
Novotny, A. A.
Silva, E. C. N.
Sokolowski, J.
author_role author
author2 Giusti, Sebastian Miguel
Novotny, A. A.
Silva, E. C. N.
Sokolowski, J.
author2_role author
author
author
author
dc.subject.none.fl_str_mv ASYMPTOTIC ANALYSIS
DIRICHLET-TO-NEUMANN MAP
DOMAIN DECOMPOSITION
PIEZOELECTRIC ACTUATOR
STEKLOV POINCAŔE OPERATOR
TOPOLOGICAL DERIVATIVE
TOPOLOGY DESIGN
topic ASYMPTOTIC ANALYSIS
DIRICHLET-TO-NEUMANN MAP
DOMAIN DECOMPOSITION
PIEZOELECTRIC ACTUATOR
STEKLOV POINCAŔE OPERATOR
TOPOLOGICAL DERIVATIVE
TOPOLOGY DESIGN
dc.description.none.fl_txt_mv Piezoelectric actuators are in common use for control of distributed parameter systems. We consider the topology optimization of a multiphysic model in piezoelectricity into two spatial dimensions. The topological derivative of a tracking-type shape functional is derived in its closed form for the purpose of shape optimization of piezoelectric actuators. The optimum design procedure is applied to a micromechanism which transforms the electrical energy supplemented via its piezoceramic part into the elastic energy of an actuator. The domain decomposition technique and the Steklov Poincaŕe pseudodifferential boundary operator are employed in the asymptotic analysis of the shape functional defined on a part of the boundary of the elastic body under consideration. The new method of sensitivity analysis is general and can be used for shape-topological optimization in a broad class of multiphysics models. Our numerical results confirm the efficiency of the proposed approach to optimum design in multiphysics.
Fil: Amigo, R.. Universidade de Sao Paulo; Brasil
Fil: Giusti, Sebastian Miguel. Universidad Tecnológica Nacional. Facultad Regional Córdoba. Departamento de Ingeniería Civil; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Austral de Investigaciones Científicas; Argentina
Fil: Novotny, A. A.. Laboratorio Nacional de Computacao Cientifica; Brasil
Fil: Silva, E. C. N.. Universidade de Sao Paulo; Brasil
Fil: Sokolowski, J.. University Henry Poincare; Francia
description Piezoelectric actuators are in common use for control of distributed parameter systems. We consider the topology optimization of a multiphysic model in piezoelectricity into two spatial dimensions. The topological derivative of a tracking-type shape functional is derived in its closed form for the purpose of shape optimization of piezoelectric actuators. The optimum design procedure is applied to a micromechanism which transforms the electrical energy supplemented via its piezoceramic part into the elastic energy of an actuator. The domain decomposition technique and the Steklov Poincaŕe pseudodifferential boundary operator are employed in the asymptotic analysis of the shape functional defined on a part of the boundary of the elastic body under consideration. The new method of sensitivity analysis is general and can be used for shape-topological optimization in a broad class of multiphysics models. Our numerical results confirm the efficiency of the proposed approach to optimum design in multiphysics.
publishDate 2016
dc.date.none.fl_str_mv 2016-01
dc.type.none.fl_str_mv info:eu-repo/semantics/article
info:eu-repo/semantics/publishedVersion
http://purl.org/coar/resource_type/c_6501
info:ar-repo/semantics/articulo
format article
status_str publishedVersion
dc.identifier.none.fl_str_mv http://hdl.handle.net/11336/71815
Amigo, R.; Giusti, Sebastian Miguel; Novotny, A. A.; Silva, E. C. N.; Sokolowski, J.; Optimum design of flextensional piezoelectric actuators into two spatial dimensions; Society for Industrial and Applied Mathematics; Siam Journal On Control And Optimization; 54; 2; 1-2016; 760-789
0363-0129
1095-7138
CONICET Digital
CONICET
url http://hdl.handle.net/11336/71815
identifier_str_mv Amigo, R.; Giusti, Sebastian Miguel; Novotny, A. A.; Silva, E. C. N.; Sokolowski, J.; Optimum design of flextensional piezoelectric actuators into two spatial dimensions; Society for Industrial and Applied Mathematics; Siam Journal On Control And Optimization; 54; 2; 1-2016; 760-789
0363-0129
1095-7138
CONICET Digital
CONICET
dc.language.none.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv info:eu-repo/semantics/altIdentifier/url/https://epubs.siam.org/doi/10.1137/151004860
info:eu-repo/semantics/altIdentifier/doi/10.1137/151004860
dc.rights.none.fl_str_mv info:eu-repo/semantics/openAccess
https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
eu_rights_str_mv openAccess
rights_invalid_str_mv https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
dc.format.none.fl_str_mv application/pdf
application/pdf
dc.publisher.none.fl_str_mv Society for Industrial and Applied Mathematics
publisher.none.fl_str_mv Society for Industrial and Applied Mathematics
dc.source.none.fl_str_mv reponame:CONICET Digital (CONICET)
instname:Consejo Nacional de Investigaciones Científicas y Técnicas
reponame_str CONICET Digital (CONICET)
collection CONICET Digital (CONICET)
instname_str Consejo Nacional de Investigaciones Científicas y Técnicas
repository.name.fl_str_mv CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicas
repository.mail.fl_str_mv dasensio@conicet.gov.ar; lcarlino@conicet.gov.ar
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score 13.070432

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