Well-posedness and exponential stability of a thermoelastic Joint-Leg-Beam system with Robin boundary conditions

Autores
Cliff, E.M.; Fulton, B.; Herdman, T.; Liu, Z.; Spies, Ruben Daniel
Año de publicación
2009
Idioma
inglés
Tipo de recurso
artículo
Estado
versión publicada
Descripción
An important class of proposed large space structures features a triangular truss backbone. In this paper we study thermomechanical behavior of a truss component; namely, a triangular frame consisting of two thin-walled circular beams connected through a joint. Transverse and axial mechanical motions of the beams are coupled though a mechanical joint. The nature of the external solar load suggests a decomposition of the temperature fields in the beams leading to two heat equations for each beam. One of these fields models the circumferential average temperature and is coupled to axial motions of the beam, while the second field accounts for a temperature gradient across the beam and is coupled to beam bending. The resulting system of partial and ordinary differential equations formally describes the coupled thermomechanical behavior of the joint?beam system. The main work is in developing an appropriate state-space form and then using semigroup theory to establish well-posedness and exponential stability.
Fil: Cliff, E.M.. Virginia Polytechnic Institute And State University;
Fil: Fulton, B.. Virginia Polytechnic Institute And State University;
Fil: Herdman, T.. Virginia Polytechnic Institute And State University;
Fil: Liu, Z.. University Of Minnesota Duluth;
Fil: Spies, Ruben Daniel. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Santa Fe. Instituto de Matemática Aplicada del Litoral. Universidad Nacional del Litoral. Instituto de Matemática Aplicada del Litoral; Argentina
Materia
Thermoelasticity
Euler-Bernoulli Beams
Partial Differential Equations
Truss Structures
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:11336/84058

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network_name_str CONICET Digital (CONICET)
spelling Well-posedness and exponential stability of a thermoelastic Joint-Leg-Beam system with Robin boundary conditionsCliff, E.M.Fulton, B.Herdman, T.Liu, Z.Spies, Ruben DanielThermoelasticityEuler-Bernoulli BeamsPartial Differential EquationsTruss Structureshttps://purl.org/becyt/ford/1.1https://purl.org/becyt/ford/1An important class of proposed large space structures features a triangular truss backbone. In this paper we study thermomechanical behavior of a truss component; namely, a triangular frame consisting of two thin-walled circular beams connected through a joint. Transverse and axial mechanical motions of the beams are coupled though a mechanical joint. The nature of the external solar load suggests a decomposition of the temperature fields in the beams leading to two heat equations for each beam. One of these fields models the circumferential average temperature and is coupled to axial motions of the beam, while the second field accounts for a temperature gradient across the beam and is coupled to beam bending. The resulting system of partial and ordinary differential equations formally describes the coupled thermomechanical behavior of the joint?beam system. The main work is in developing an appropriate state-space form and then using semigroup theory to establish well-posedness and exponential stability.Fil: Cliff, E.M.. Virginia Polytechnic Institute And State University;Fil: Fulton, B.. Virginia Polytechnic Institute And State University;Fil: Herdman, T.. Virginia Polytechnic Institute And State University;Fil: Liu, Z.. University Of Minnesota Duluth;Fil: Spies, Ruben Daniel. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Santa Fe. Instituto de Matemática Aplicada del Litoral. Universidad Nacional del Litoral. Instituto de Matemática Aplicada del Litoral; ArgentinaPergamon-Elsevier Science Ltd2009-03info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionhttp://purl.org/coar/resource_type/c_6501info:ar-repo/semantics/articuloapplication/pdfapplication/pdfhttp://hdl.handle.net/11336/84058Cliff, E.M.; Fulton, B.; Herdman, T.; Liu, Z.; Spies, Ruben Daniel; Well-posedness and exponential stability of a thermoelastic Joint-Leg-Beam system with Robin boundary conditions; Pergamon-Elsevier Science Ltd; Mathematical And Computer Modelling; 49; 5-6; 3-2009; 1097-11080895-7177CONICET DigitalCONICETenginfo:eu-repo/semantics/altIdentifier/url/http://www.journals.elsevier.com/mathematical-and-computer-modellinginfo:eu-repo/semantics/altIdentifier/doi/10.1016/j.mcm.2008.03.018info:eu-repo/semantics/openAccesshttps://creativecommons.org/licenses/by-nc-sa/2.5/ar/reponame:CONICET Digital (CONICET)instname:Consejo Nacional de Investigaciones Científicas y Técnicas2025-09-29T10:20:18Zoai:ri.conicet.gov.ar:11336/84058instacron: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 10:20:18.804CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicasfalse
dc.title.none.fl_str_mv Well-posedness and exponential stability of a thermoelastic Joint-Leg-Beam system with Robin boundary conditions
title Well-posedness and exponential stability of a thermoelastic Joint-Leg-Beam system with Robin boundary conditions
spellingShingle Well-posedness and exponential stability of a thermoelastic Joint-Leg-Beam system with Robin boundary conditions
Cliff, E.M.
Thermoelasticity
Euler-Bernoulli Beams
Partial Differential Equations
Truss Structures
title_short Well-posedness and exponential stability of a thermoelastic Joint-Leg-Beam system with Robin boundary conditions
title_full Well-posedness and exponential stability of a thermoelastic Joint-Leg-Beam system with Robin boundary conditions
title_fullStr Well-posedness and exponential stability of a thermoelastic Joint-Leg-Beam system with Robin boundary conditions
title_full_unstemmed Well-posedness and exponential stability of a thermoelastic Joint-Leg-Beam system with Robin boundary conditions
title_sort Well-posedness and exponential stability of a thermoelastic Joint-Leg-Beam system with Robin boundary conditions
dc.creator.none.fl_str_mv Cliff, E.M.
Fulton, B.
Herdman, T.
Liu, Z.
Spies, Ruben Daniel
author Cliff, E.M.
author_facet Cliff, E.M.
Fulton, B.
Herdman, T.
Liu, Z.
Spies, Ruben Daniel
author_role author
author2 Fulton, B.
Herdman, T.
Liu, Z.
Spies, Ruben Daniel
author2_role author
author
author
author
dc.subject.none.fl_str_mv Thermoelasticity
Euler-Bernoulli Beams
Partial Differential Equations
Truss Structures
topic Thermoelasticity
Euler-Bernoulli Beams
Partial Differential Equations
Truss Structures
purl_subject.fl_str_mv https://purl.org/becyt/ford/1.1
https://purl.org/becyt/ford/1
dc.description.none.fl_txt_mv An important class of proposed large space structures features a triangular truss backbone. In this paper we study thermomechanical behavior of a truss component; namely, a triangular frame consisting of two thin-walled circular beams connected through a joint. Transverse and axial mechanical motions of the beams are coupled though a mechanical joint. The nature of the external solar load suggests a decomposition of the temperature fields in the beams leading to two heat equations for each beam. One of these fields models the circumferential average temperature and is coupled to axial motions of the beam, while the second field accounts for a temperature gradient across the beam and is coupled to beam bending. The resulting system of partial and ordinary differential equations formally describes the coupled thermomechanical behavior of the joint?beam system. The main work is in developing an appropriate state-space form and then using semigroup theory to establish well-posedness and exponential stability.
Fil: Cliff, E.M.. Virginia Polytechnic Institute And State University;
Fil: Fulton, B.. Virginia Polytechnic Institute And State University;
Fil: Herdman, T.. Virginia Polytechnic Institute And State University;
Fil: Liu, Z.. University Of Minnesota Duluth;
Fil: Spies, Ruben Daniel. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Santa Fe. Instituto de Matemática Aplicada del Litoral. Universidad Nacional del Litoral. Instituto de Matemática Aplicada del Litoral; Argentina
description An important class of proposed large space structures features a triangular truss backbone. In this paper we study thermomechanical behavior of a truss component; namely, a triangular frame consisting of two thin-walled circular beams connected through a joint. Transverse and axial mechanical motions of the beams are coupled though a mechanical joint. The nature of the external solar load suggests a decomposition of the temperature fields in the beams leading to two heat equations for each beam. One of these fields models the circumferential average temperature and is coupled to axial motions of the beam, while the second field accounts for a temperature gradient across the beam and is coupled to beam bending. The resulting system of partial and ordinary differential equations formally describes the coupled thermomechanical behavior of the joint?beam system. The main work is in developing an appropriate state-space form and then using semigroup theory to establish well-posedness and exponential stability.
publishDate 2009
dc.date.none.fl_str_mv 2009-03
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/11336/84058
Cliff, E.M.; Fulton, B.; Herdman, T.; Liu, Z.; Spies, Ruben Daniel; Well-posedness and exponential stability of a thermoelastic Joint-Leg-Beam system with Robin boundary conditions; Pergamon-Elsevier Science Ltd; Mathematical And Computer Modelling; 49; 5-6; 3-2009; 1097-1108
0895-7177
CONICET Digital
CONICET
url http://hdl.handle.net/11336/84058
identifier_str_mv Cliff, E.M.; Fulton, B.; Herdman, T.; Liu, Z.; Spies, Ruben Daniel; Well-posedness and exponential stability of a thermoelastic Joint-Leg-Beam system with Robin boundary conditions; Pergamon-Elsevier Science Ltd; Mathematical And Computer Modelling; 49; 5-6; 3-2009; 1097-1108
0895-7177
CONICET Digital
CONICET
dc.language.none.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv info:eu-repo/semantics/altIdentifier/url/http://www.journals.elsevier.com/mathematical-and-computer-modelling
info:eu-repo/semantics/altIdentifier/doi/10.1016/j.mcm.2008.03.018
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 Pergamon-Elsevier Science Ltd
publisher.none.fl_str_mv Pergamon-Elsevier Science Ltd
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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