索结构外文文献 具有动态延迟边界条件和局部内部阻尼的柔性结构能量的指数衰减率.pdf

Applied Mathematics Letters 103 (2020)106185 Contents lists available at ScienceDirect Applied Mathematics Lf Applied Mathematics Letters ELSEVIER .elsevier./locate/aml Exponential decay rate for the energy of a flexible structure with dynamic delayed boundary conditions and a local interior damping Boumediene Chentoufa " Sabeur Mansourib Kuwait University Faculty of Science Department of Mathematics Safat 13060 Kuwait UR Analysis and Control of PDEs UR19ES64 Department of Mathematics Faculty of Sciences of Monastir University of Monastir 5019 Monastir Tunisia ARTICLE INFO ABSTRACT Article history: This note is dedicated to study the energy decay of a flexible structure with a local Received 6 November 2019 interior damping.The system consists of a platform and a flexible cable holding Received in revised form 9 December a load mass.Taking into account the dynamics of both ends of the cable and the 2019 presence of a delay term in the boundary we manage to show that the presence Accepted 9 December 2019 of a localized distributed damping is strong enough to obtain the exponentially Available online 16 December 2019 decay of the energy of the system.This improves the result obtained in Ammari Keywords: and Chentouf (2020)where the damping was distributed over the entire spatial Flexible structure domain. Dynamic delayed boundary conditions O2019 Elsevier Ltd.All rights reserved. Local interior damping Exponential energy decay 1.Introduction and preliminary results The pr...