Vibration analysis of FGP actuator due to longitudinal piezoelectric coupling coefficient
Pankaj Sharma
Abstract
The present paper provides vibration analysis of functionally graded piezoelectric (FGP) actuator due to longitudinal piezoelectric coupling coefficient. In this regard, beam type geometry is taken into consideration. It is assumed that the electric potential has sinusoidal variation along the axial direction. The electro-mechanical properties of Timoshenko beam are supposed to change continuously throughout the thickness based on power law model. The governing equations and end conditions for FGP beam are derived using Hamilton’s principle. A mathematical modeling for clamped-clamped end condition is being obtained. Numerical results are presented to demonstrate the effect of various parameters on natural frequencies of FGP beam.