Estimation of Vibration Decay Rates for a Nonlinear Flexible Beam with Nonlinear Boundary Damping
Résumé
In this paper, the decay rate estimation of solution and energy function for a nonlinear flexible beam with nonlinear boundary damping are established. The nonlinear boundary feedback criterion, which covers a large class of nonlinear functions, is based on a negative feedback of the transverse velocity at the right boundary of flexible beam. Several decay rates for the solution and energy are provided corresponding to various growth restriction on the nonlinear boundary feedback near the origin. To verify the effectiveness of the results, numerical simulations are shown by the finite element method.
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