DYNAMIC ANALYSIS AND ACTIVE CONTROL OF DISTRIBUTED PIEZOTHERMOELASTIC FGM COMPOSITE BEAM WITH POROSITIES MODELED BY THE FINITE ELEMENT METHOD

An analytical method on active vibration control of smart functionally graded laminated beam containing layers of piezoelectric materials, used as sensors and actuators, under a thermal load, is investigated. The properties of FGM layer are functionally graded in the z-axis direction according to the volume fraction power law distribution. During the manufacture of FGMs, porosities may occur in the material, so it is necessary to take into account the effect of these imperfections. The effect of thermoelastic coupling on the structure dynamics and control are studied and discussed. Linear quadratic Gaussian (LQG) control accompanied by Kalman's filter is used for active vibration control of the FG beam with porosity. The motion equations are derived based on the Timoshenko's beam theory and the finite element method through Hamilton's principle. The simulation's results are presented to visualize the states of their dynamics.