Control of Complicated Stress Oscillations in FGPM Thin Plates

Abstract

Analytical solutions to one-dimensional electro-elastodynamic problems in functionally graded piezoelectric material thin plates subjected to impact pressure are obtained. In the case where both surfaces of the thin plate are free of electric charge, the stress oscillation is periodic when the mechanical impedance is independent of the space-variable, whereas it is complicated when the impedance depends on the space-variable. In the case where the voltage between both surfaces of the thin plate is zero, the stress oscillation is complicated whether the impedance is independent of or dependent on the space-variable. The complicated stress oscillations are found to be suppressed completely by applying specific voltages determined from the analytical solution.