Investigation of Stabilization of Euler-Bernoulli and Timoshenko Beams

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Jalili Rahmati, Alireza | 2014

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Type of Document: M.Sc. Thesis
Language: Farsi
Document No: 45998 (02)
University: Sharif University of Technology
Department: Mathematical Sciences
Advisor(s): Hesaraki, Mahmoud
Abstract:
In this study, Euler-Bernoulli and Timoshenko beams with delayed boundary control are investigated. Deriving governing dynamic feedback control equations, exponential stability of these beams are obtained under more generalized conditions. For this purpose, time delay of system is omitted using tools in control engineering; then, an appropriate control approachis is found for this modified system.In the next step,closed loop system is extracted, which demonstrate that system is stable exponentially. This stability which is acquired for closed loop systems is also valid for primary system
Keywords:
Euler-Bernoulli Beam ; Stabilizable ; Timoshenko Beams ; Boundary Control ; Input Delay