Stabilization of a laminated beam with interfacial slip by boundary controls

Boundary value problems

Nasser-Eddine Tatar¹ 

[1] Department of Mathematics and Statistics, King Fahd University of Petroleum and Minerals, Dhahran, Saudi Arabia

关键词: exponential stabilization;    vibration reduction;    Timoshenko system;    slip dynamic;    boundary control;    multiplier technique;    34B05;    34D05;    34H05;   

DOI  :  10.1186/s13661-015-0432-3

学科分类：数学（综合）

来源: SpringerOpen

【 摘 要 】

We consider two identical beams on top of each other with an adhesive in between. A considerable natural slip occurs in the structure and will not be ignored as was done in the previous investigations. In this work we take into account this slip and prove that we can stabilize the system in an exponential manner using boundary controls. The model consists of three coupled equations. The first two are related to the well-known Timoshenko system, and the third one describes the dynamic of the slip. Our result improves the few existing similar works in the literature.

【 授权许可】

CC BY