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Active vibration control of functionally graded beams with piezoelectric layers based on higher order shear deformation theory

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Earthquak. Engineering and Engineering Vibration 2016年第4期15卷 611-620页

作者： k. bendine F.B. Bouk.oulda M.Nouarit Z. Satla Mechanics of Structures and Solids Laboratory Department of Mechanics Faculty of technology Djillali Liabes University of Sidi Bel-Abbes Algeria University of Lorraine Laboratoire d'Energetique et de Mecanique Theorique et Appliquee LEMTA CNRS-UMR 7563 Mines Nancy Nancy 88100 France

This paper reports on a study of active vibration control of functionally graded beams with upper and lower surface-bonded piezoelectric layers. The model is based on higher-order shear deformation theory and implemented using the finite element method （FEM）. The proprieties of the functionally graded beam （FGB） are graded along the thick.ess direction. The piezoelectric actuator provides a damping effect on the FGB by means of a velocity feedback.control algorithm. A Matlab program has been developed for the FGB model and compared with ANSYS APDL. Using Newmark.s method numerical solutions are obtained for the dynamic equations of FGB with piezoelectric layers. Numerical results show the effects of the constituent volume fraction and the influence the feedback.control gain on the frequency and dynamic response of FGBs.

关键词： beams piezoelectric finite element method functionally graded materials vibration control

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Vibration Control of FGM Piezoelectric Plate Based on LQR Genetic Search

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Open Journal of Civil Engineering 2016年第1期6卷 1-7页

作者： k.uider bendine Rajan L. Wank.ade Mechanics of Structures and Solids Laboratory Department of Mechanics Université Djillali Liabes Sidi-Bel-Abb&egrave s Algeria Applied Mechanics Department Government College of Engineering Karad India

Active vibration control of functionally graded material (FGM) plate with integrated piezoelectric layers is studied. In this regard, a finite element model based on the classical plate theory is adopted and extended to the case of FGM plate to obtain a space state equation. Rectangular four node and eight node elements are used for the analysis purpose. The material proprieties of FG plate are assumed to be graded along the thick.ess direction. In order to control the vibration of the plate, an LQR controller has been designed and developed. The weighing factors are obtained by using genetic algorithm. The proposed results of finite element modeling are verified with the results obtained using ANSYS. Also the validation of methodology is done with comparing the results with that of available in literature and found in well agreement. Further analysis is performed for three sets of power law exponent n = 0, 1 and 100 which gives benchmark.results for vibration control of FGM piezoelectric plate.

关键词： Functionally Graded Material Piezoelectric LQR Controller Genetic Algorithm

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