Publicação: A transmission problem for Euler-Bernoulli beam with Kelvin-Voigt damping
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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. © 2011 NSP.
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Euler-Bernoulli beam, Exponencial stability, Kelvin-Voigt damping, Numerical scheme, Semigroup, Transmission problem
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Inglês
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Applied Mathematics and Information Sciences, v. 5, n. 1, p. 17-28, 2011.
