Open AccessVibrations of a damped extensible beam between two stops
Author(s) -
Alessia Berti,
Maria Grazia Naso
Publication year - 2013
Publication title -
evolution equations and control theory
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.665
H-Index - 19
eISSN - 2163-2480
pISSN - 2163-2472
DOI - 10.3934/eect.2013.2.35
Subject(s) - extensibility , beam (structure) , exponential decay , dynamics (music) , physics , exponential function , vibration , energy (signal processing) , energy method , mathematical analysis , mechanics , classical mechanics , mathematics , computer science , nuclear physics , acoustics , quantum mechanics , optics , operating system
A PDE system modeling the dynamics of an extensible beam hav- ing one of its ends constrained between two stops is considered. The existence of a weak global-in-time solution is established by a penalization method. In addition, the asymptotic behavior of such a solution is analyzed and the exponential decay rate for the related energy is shown