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  • Research Article
  • Open Access

A transmission problem for beams on nonlinear supports

Boundary Value Problems20062006:75107

https://doi.org/10.1155/BVP/2006/75107

  • Received: 20 October 2005
  • Accepted: 12 April 2006
  • Published:

Abstract

A transmission problem involving two Euler-Bernoulli equations modeling the vibrations of a composite beam is studied. Assuming that the beam is clamped at one extremity, and resting on an elastic bearing at the other extremity, the existence of a unique global solution and decay rates of the energy are obtained by adding just one damping device at the end containing the bearing mechanism.

Keywords

  • Differential Equation
  • Partial Differential Equation
  • Ordinary Differential Equation
  • Equation Modeling
  • Decay Rate

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Authors’ Affiliations

(1)
Department of Mathematics, State University of Maringá, Maringá, PR 87020-900, Brazil
(2)
Department of Mathematics, Federal University of Paraná, Curitiba, PR 81531-990, Brazil

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