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oa Stabilization of transverse vibrations of an inhomogeneous beam
- Source: QScience Connect, Volume 2013, Issue 1, Jun 2013, 21
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- 10 June 2013
- 27 June 2013
- 01 August 2013
Abstract
In this paper an inhomogeneous beam with a damping distributed along the length is considered. The beam is clamped at both ends and is assumed to vibrate in a transverse direction only. The total energy of the system at any time t is estimated. Finally, an explicit form of exponential energy decay is obtained. Hence, the uniform stabilization of the system is achieved.
© 2013 Nandi, Gorain, Kar, licensee Bloomsbury Qatar Foundation Journals.