Exponential stabilization of a structure with interfacial slip

Assane Lo; Nasser Eddine Tatar

doi:10.3934/dcds.2016073

Exponential stabilization of a structure with interfacial slip

Assane Lo
, Nasser Eddine Tatar^*

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

53 Scopus citations

Abstract

Two exponential stabilization results are proved for a vibrating structure subject to an interfacial slip. More precisely, the structure consists of two identical beams of Timoshenko type and clamped together but allowing for a longitudinal movement between the layers. We will stabilize the system through a transverse friction and also through a viscoelastic damping.

Original language	English
Pages (from-to)	6285-6306
Number of pages	22
Journal	Discrete and Continuous Dynamical Systems
Volume	36
Issue number	11
DOIs	https://doi.org/10.3934/dcds.2016073
State	Published - Nov 2016

Bibliographical note

Publisher Copyright:
© 2016, Southwest Missouri State University. All rights reserved.

Keywords

Exponential stabilization
Multiplier technique
Slip dynamic
Timoshenko system
Vibration reduction

ASJC Scopus subject areas

Analysis
Discrete Mathematics and Combinatorics
Applied Mathematics

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10.3934/dcds.2016073

Cite this

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title = "Exponential stabilization of a structure with interfacial slip",

abstract = "Two exponential stabilization results are proved for a vibrating structure subject to an interfacial slip. More precisely, the structure consists of two identical beams of Timoshenko type and clamped together but allowing for a longitudinal movement between the layers. We will stabilize the system through a transverse friction and also through a viscoelastic damping.",

keywords = "Exponential stabilization, Multiplier technique, Slip dynamic, Timoshenko system, Vibration reduction",

author = "Assane Lo and Tatar, \{Nasser Eddine\}",

year = "2016",

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AU - Tatar, Nasser Eddine

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AB - Two exponential stabilization results are proved for a vibrating structure subject to an interfacial slip. More precisely, the structure consists of two identical beams of Timoshenko type and clamped together but allowing for a longitudinal movement between the layers. We will stabilize the system through a transverse friction and also through a viscoelastic damping.

KW - Exponential stabilization

KW - Multiplier technique

KW - Slip dynamic

KW - Timoshenko system

KW - Vibration reduction

UR - https://www.scopus.com/pages/publications/84984914882

U2 - 10.3934/dcds.2016073

DO - 10.3934/dcds.2016073

M3 - Article

AN - SCOPUS:84984914882

SN - 1078-0947

VL - 36

SP - 6285

EP - 6306

JO - Discrete and Continuous Dynamical Systems

JF - Discrete and Continuous Dynamical Systems

IS - 11

ER -

Exponential stabilization of a structure with interfacial slip

Abstract

Bibliographical note

Keywords

ASJC Scopus subject areas

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