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Published in: Journal of Dynamical and Control Systems 1/2018

20-03-2017

Vibration Control of a Viscoelastic Translational Euler-Bernoulli Beam

Authors: Amirouche Berkani, Nasser-eddine Tatar, Abdelkarim Kelleche

Published in: Journal of Dynamical and Control Systems | Issue 1/2018

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Abstract

In this paper, we consider a viscoelastic Euler-Bernoulli beam fixed to a base in a translational motion at one end and to a tip mass at its free end. Under a suitable control force applied at the base, we prove an arbitrary decay of the energy of the system. This is established for a large class of relaxation functions.

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Metadata
Title
Vibration Control of a Viscoelastic Translational Euler-Bernoulli Beam
Authors
Amirouche Berkani
Nasser-eddine Tatar
Abdelkarim Kelleche
Publication date
20-03-2017
Publisher
Springer US
Published in
Journal of Dynamical and Control Systems / Issue 1/2018
Print ISSN: 1079-2724
Electronic ISSN: 1573-8698
DOI
https://doi.org/10.1007/s10883-017-9364-9

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