Vibration Control of FGM Piezoelectric Plate Based on LQR Genetic Search
- 1 Mechanics of Structures and Solids Laboratory, Department of Mechanics, Université Djillali Liabes, Sidi-Bel-Abbès, Algeria
- 2 Applied Mechanics Department, Government College of Engineering, Karad, India
Abstract
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 thickness 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.
- Thai, H.-T. and Choi, D.-H. (2013) A Simple First Order Shears Deformation Theory for the Bending and Free Vibration Analysis of Functionally Graded Plates. Composite Structures, 101, 332-340. http://dx.doi.org/10.1016/j.compstruct.2013.02.019
- Dogan, V. (2013) Non Linear Vibration of FGM Plates under Random Excitation. Composite Structures, 95, 366-374. http://dx.doi.org/10.1016/j.compstruct.2012.07.024
- Hasani Baferani, A., Saidi, A.R. and Jomehzadeh, E. (2010) An Exact Solution for Free Vibration of Thin Functionally Graded Rectangular Plates. Proceedings of the Institution of Mechanical Engineers, Part C, Journal of Mechanical Engineering Science, 225, 526-536.
- Preumont, A. (2004) Vibration Control of Active Structures. 2nd Edition, Kluwer Academic Publishers, Beilin..
- Fakhari, V. and Ohadi, A. (2011) Nonlinear Vibration Control of Functionally Graded Plate with Piezoelectric Layers in Thermal Environment. Journal of Vibration and Control, 17, 449-469. http://dx.doi.org/10.1177/1077546309354970
- Hossain Nezhad Shirazi, A., Owji, H.R. and Rafeeyan, M. (2011) Active Vibration Control of an FGM Rectangular Plate Using Fuzzy Logic Controllers. Proceedia Engineering, 14, 3019-3026. http://dx.doi.org/10.1016/j.proeng.2011.07.380
- Liew, K.M., He, X.Q. and Meguid, S.A. (2004) Optimal Shape Control of Functionally Graded Smart Plates Using Genetic Algorithms. Computational Mechanics, 33, 245-253. http://dx.doi.org/10.1007/s00466-003-0525-1
- Kargarnovin, M.H., Najafizadeh, M. and Viliani, N.S. (2007) Vibration Control of a Functionally Graded Material Plate Patched with Piezoelectric Actuators and Sensors under a Constant Electric Charge. Smart Materials and Structures, 16, 1252-1259. http://dx.doi.org/10.1088/0964-1726/16/4/037
- Mao, Y.Q. and Fu, Y.M. (2010) Nonlinear Dynamic Response and Active Vibration Control for Piezoelectric Functionally Graded Plate. Sound and Vibration, 329, 2015-2028. http://dx.doi.org/10.1016/j.jsv.2010.01.005
- Ramesh Kumar, K. and Narayanan, S. (2007) The Optimal Location of Piezoelectric Actuators and Sensors for Vibration Control of Plates. Smart Materials and Structures, 16, 2680-2691. http://dx.doi.org/10.1088/0964-1726/16/6/073
- Wankhade, R.L. and Bajoria, K.M. (2013) Buckling Analysis of Piezolaminated Plates Using Higher Order Shear Deformation Theory. International Journal of Composite Materials, 3, 92-99.