Active piezoelectric vibration control for a Timoshenko beam

Yildirim, Kenan; Kucuk, İsmail

doi:10.1016/j.jfranklin.2015.10.019

Active piezoelectric vibration control for a Timoshenko beam

Atıf İçin Kopyala

Yildirim K., Kucuk I.

JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS, cilt.353, sa.1, ss.95-107, 2016 (SCI-Expanded)

Yayın Türü: Makale / Tam Makale
Cilt numarası: 353 Sayı: 1
Basım Tarihi: 2016
Doi Numarası: 10.1016/j.jfranklin.2015.10.019
Dergi Adı: JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS
Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
Sayfa Sayıları: ss.95-107
Yıldız Teknik Üniversitesi Adresli: Evet

Özet

Optimal piezoelectric vibration control problem for a Timoshenko beam is considered. The performance index function to be minimized by using the minimum level of the control voltage consists of a weighted quadratic function of displacement and velocity of the beam and also includes a quadratic functional of the control voltage function as a penalty term. The optimal control function is derived by means of a maximum principle which transforms the control problem to an initial-boundary-terminal value problem. In order to show the effectiveness of the control actuation, numerical results are given by MATLAB in table and graphical forms. (C) 2015 The Franklin Institute. Published by Elsevier Ltd. All rights reserved.