Non uniform stability for the Timoshenko beam with tip load

2015/07/02 by Denis Mercier, Mercier, Denis, Virginie Régnier +1
Computer Science · Engineering · #Contact Mechanics and Variational Inequalities #Stability and Controllability of Differential Equations #Vibration and Dynamic Analysis

paper · pdf · doi:10.48550/arxiv.1507.00445

Abstract

In this paper we consider a hybrid elastic model consisting of a Timoshenko beam and a tip load at the free end of the beam. Under the equal speed wave propagation condition, we show polynomial decay for the model which includes the rotary inertia of the tip load when feedback boundary moment and force controls are applied at the point of contact between the beam and the tip load.

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