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
- Institución
- Consejo Nacional de Investigaciones Científicas y Técnicas
- OAI Identificador
- oai:ri.conicet.gov.ar:11336/84058
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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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1844614182689832960 |
score |
13.070432 |