Exponential stability and numerical computation for a nonlinear shear beam system

被引：5

作者：

Aouragh, My Driss ^{[1
]}

Segaoui, M'hamed ^{[2
]}

Soufyane, Abdelaziz ^{[3
]}

机构：

[1] Moulay Ismail Univ Meknes, Dept Math, AM2CSI Grp, MSISI Lab,FST Errachidia, Meknes, Morocco

[2] Moulay Ismail Univ Meknes, MSISI Lab, AM2CSI Grp, FST Errachidia, Meknes, Morocco

[3] Univ Sharjah, Coll Sci, Dept Math, POB 27272, Sharjah, U Arab Emirates

来源：

ACTA MECHANICA | 2024年 / 235卷 / 04期

关键词：

STABILIZATION;

D O I：

10.1007/s00707-023-03826-6

中图分类号：

O3 [力学];

学科分类号：

08 ; 0801 ;

摘要：

In this paper, we examine the stability of a nonlinear shear beam system. We demonstrate the well-posedness of the system using the Faedo-Galerkin method and establish exponential stability through the multiplier method. Our findings improve upon previously obtained stability results for certain nonlinear Timoshenko-type systems, as we do not require the use of two controls to achieve exponential stability. We also provide numerical experiments at the end to support our theoretical results.

引用

页码：2029 / 2040

页数：12

共 24 条

[1] Stabilization of a nonlinear Timoshenko beam [J].