Temperature Effects on Nonlinear Vibration of FGM Plates Coupled with Piezoelectric Actuators
الموضوعات :
1 - Faculty of Mechanical Engineering, College of Engineering, University of Tehran
2 - Faculty of Mechanical Engineering, College of Engineering, University of Tehran
الکلمات المفتاحية: Nonlinear vibration, FGM plate, Piezoelectric actuators,
ملخص المقالة :
An analytical solution for a sandwich circular FGM plate coupled with piezoelectric layers under one-dimension heat conduction is presented in this paper. A nonlinear static problem is solved first to determine the initial stress state and pre-vibration deformations. By adding an incremental dynamic state to the pre-vibration state, the differential equations are derived. The role of thermal environment and control effects on nonlinear static deflections and natural frequencies imposed by the piezoelectric actuators using high input voltages are investigated. The good agreement between the results of this paper and those of the finite element (FE) analyses validated the presented approach. The emphasis is placed on investigating the effect of varying the applied actuator voltage and thermal environment as well as gradient index of FG plate on the dynamics and control characteristics of the structure.
[1] Dong S., Du X., Bouchilloux P., Uchino K., 2002, Piezoelectric ring-morph actuation for valve application, Journal of Electroceramics 8: 155-61.
[2] Cao L., Mantell S., Polla D., 2001, Design and simulation of an implantable medical drug delivery system using microelectromechanical systems technology, Sensors Actuators A 94: 117-125.
[3] Reddy J.N., Cheng Z.Q., 2001, Three-dimensional solutions of smart functionally graded plates, ASME Journal of Applied Mechanics 68: 234-241.
[4] Wang B.L., Noda N., 2001, Design of smart functionally graded thermo-piezoelectric composite structure, Smart Materials and Structures 10: 189-193.
[5] Huang X.L., Shen H.S., 2006, Vibration and dynamic response of functionally graded plates with piezoelectric actuators in thermal environments, Journal of Sound and Vibration 289: 25-53.
[6] Ebrahimi F., Rastgoo A., Kargarnovin M.H., 2008, Analytical investigation on axisymmetric free vibrations of moderately thick circular functionally graded plate integrated with piezoelectric layers, Journal of Mechanical Science and Technology 22(16): 1056-1072.
[7] Ebrahimi F., Rastgoo A., 2008, Free vibration analysis of smart annular FGM plates integrated with piezoelectric layers, Smart Materials and Structures 17(1): doi:10.1088/0964-1726/17/1/015044.
[8] Ebrahimi F., Rastgoo A., 2009, Nonlinear vibration of smart circular functionally graded plates coupled with piezoelectric layers, International Journal of Mechanics and Materials in Design 5: 157-165.
[9] Reddy J.N., Praveen G.N., 1998, Nonlinear transient thermoelastic analysis of functionally graded ceramic-metal plate, International Journal of Solids and Structures 35:4457-4476.
[10] Brush D.O., Almroth B.O., 1975, Buckling of Bars Plates and Shells, McGraw-Hill, New York.
[11] Reddy J.N., 1999, Theory and Analysis of Elastic Plates, Taylor and Francis, Philadelphia.
[12] Efraim E., Eisenberger M., 2007, Exact vibration analysis of variable thickness thick annular isotropic and FGM plate, Journal of Sound and Vibration 299: 720-738.
[13] Tzou H.S., 1993, Piezoelectric Shells-Distributed Sensing and Control of Continua, Kluwer, Dordrecht.
[14] Zheng X.J., Zhou Y.H., 1990, Analytical formulas of solutions of geometrically nonlinear equations of axisymmetric plates and shallow shells, Acta Mechanica Sinica 6(1): 69-81.
[15] William H.P., Brain P.F., Sau A.T., 1986, Numerical Recipes-the Art of Scientific Computing, Cambridge University Press, New York.
