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A transmission problem for beams on nonlinear supports

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.

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Correspondence to To Fu Ma.

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Ma, T.F., Oquendo, H.P. A transmission problem for beams on nonlinear supports. Bound Value Probl 2006, 75107 (2006). https://doi.org/10.1155/BVP/2006/75107

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Keywords

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