A Transmission Problem for Euler-Bernoulli beam with Kelvin-Voigt Damping
Nenhuma Miniatura disponível
Data
2011-01-01
Orientador
Coorientador
Pós-graduação
Curso de graduação
Título da Revista
ISSN da Revista
Título de Volume
Editor
Natural Sciences Publishing Corporation
Tipo
Artigo
Direito de acesso
Acesso restrito
Resumo
In this work we consider a transmission problem for the longitudinal displacement of a Euler-Bernoulli beam, where one small part of the beam is made of a viscoelastic material with Kelvin-Voigt constitutive relation. We use semigroup theory to prove existence and uniqueness of solutions. We apply a general results due to L. Gearhart [5] and J. Pruss [10] in the study of asymptotic behavior of solutions and prove that the semigroup associated to the system is exponentially stable. A numerical scheme is presented,
Descrição
Idioma
Inglês
Como citar
Applied Mathematics & Information Sciences. Kalamazoo: Natural Sciences Publishing Corporation, v. 5, n. 1, p. 17-28, 2011.
