Vibration Control of a Viscoelastic Translational Euler-Bernoulli Beam |
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| Authors: | Amirouche Berkani Nasser-eddine Tatar Abdelkarim Kelleche |
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| Affiliation: | 1.Faculty of Mathematics,University of Sciences and Technology Houari Boumediene,Algiers,Algeria;2.Department of Mathematics and Statistics,King Fahd University of Petroleum and Minerals,Dhahran,Saudi Arabia;3.Faculte des Sciences et de la Technologie,Universite Djilali Bounaama,Khemis Miliana,Algeria |
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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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