Temperature Effects on Nonlinear Vibration of FGM Plates Coupled with Piezoelectric Actuators

An analytical solution for a sandwich circular fgm plate coupled with piezoelectric layers underone-dimension heat conduction is presented in this paper. a nonlinear static problem is solved firstto determine the initial stress state and pre-vibration deformations. by adding an incrementaldynamic state to the pre-vibration state, the differential equations are derived. the role of thermalenvironment and control effects on nonlinear static deflections and natural frequencies imposed bythe piezoelectric actuators using high input voltages are investigated. the good agreementbetween the results of this paper and those of the finite element (fe) analyses validated thepresented approach. the emphasis is placed on investigating the effect of varying the appliedactuator voltage and thermal environment as well as gradient index of fg plate on the dynamicsand control characteristics of the structure.