Stabilization of a laminated beam with interfacial slip by boundary controls

By Nasser-Eddine Tatar. 2015

90 citations recorded by the source corpus.

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.

View Paper: https://www.semanticscholar.org/paper/ffb3a92ca61f51a0dcc6a97b12e446c58075d430