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dc.contributor.author
Burns, J.A.
dc.contributor.author
Cliff, E.M.
dc.contributor.author
Liu, Z.
dc.contributor.author
Spies, Ruben Daniel
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dc.date.available
2019-09-23T13:49:23Z
dc.date.issued
2008-03
dc.identifier.citation
Burns, J.A.; Cliff, E.M.; Liu, Z.; Spies, Ruben Daniel; On coupled transversal and axial motions of two beams with a joint; Academic Press Inc Elsevier Science; Journal of Mathematical Analysis and Applications; 339; 1; 3-2008; 182-196
dc.identifier.issn
0022-247X
dc.identifier.uri
http://hdl.handle.net/11336/84094
dc.description.abstract
In this paper we develop and analyze a mathematical model for combined axial and transverse motions of two Euler-Bernoulli beams coupled through a joint composed of two rigid bodies. The motivation for this problem comes from the need to accurately model damping and joints for the next generation of inflatable/rigidizable space structures. We assume Kelvin-Voigt damping in the two beams whose motions are coupled through a joint which includes an internal moment. The resulting equations of motion consist of four, second-order in time, partial differential equations, four second-order ordinary differential equations, and certain compatibility boundary conditions. The system is re-cast as an abstract second-order differential equation in an appropriate Hilbert space, consisting of function spaces describing the distributed beam deflections, and a finite-dimensional space that projects important features at the joint boundary. Semigroup theory is used to prove the system is well posed, and that with positive damping parameters the resulting semigroup is analytic and exponentially stable. The spectrum of the infinitesimal generator is characterized.
dc.format
application/pdf
dc.language.iso
eng
dc.publisher
Academic Press Inc Elsevier Science
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dc.rights
info:eu-repo/semantics/openAccess
dc.rights.uri
https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
dc.subject
Abstract Differential Equations
dc.subject
Mechanics of Deformable Solids
dc.subject
Semigroups And Linear Evolution Equations
dc.subject.classification
Matemática Aplicada
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dc.subject.classification
Matemáticas
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dc.subject.classification
CIENCIAS NATURALES Y EXACTAS
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dc.title
On coupled transversal and axial motions of two beams with a joint
dc.type
info:eu-repo/semantics/article
dc.type
info:ar-repo/semantics/artículo
dc.type
info:eu-repo/semantics/publishedVersion
dc.date.updated
2019-09-20T14:17:54Z
dc.journal.volume
339
dc.journal.number
1
dc.journal.pagination
182-196
dc.journal.pais
Países Bajos
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dc.journal.ciudad
Amstermdam
dc.description.fil
Fil: Burns, J.A.. Virginia Polytechnic Institute And State University;
dc.description.fil
Fil: Cliff, E.M.. Virginia Polytechnic Institute And State University;
dc.description.fil
Fil: Liu, Z.. University Of Minnesota Duluth;
dc.description.fil
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
dc.journal.title
Journal of Mathematical Analysis and Applications
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dc.relation.alternativeid
info:eu-repo/semantics/altIdentifier/url/http://www.elsevier.com/locate/jmaa
dc.relation.alternativeid
info:eu-repo/semantics/altIdentifier/doi/http://dx.doi.org/10.1016/j.jmaa.2007.06.047
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