Numerical Modeling of Axially Functionally Graded Piezoelectric Beams

Abstract

Functionally graded piezoelectric materials (FGPM) are a novel kind of piezoelectric newlinematerial which specifically developed to have desirable features for a particular newlineapplication. The variation of electromechanical properties of the FGPM is continuous newlinein appropriate directions by some mathematical law which allows FGPM to avoid newlinecracks and reduce residual stresses. The FGPM provide more ingenious and reliable newlinedesigns and have been widely employed in many areas such as ultrasonic motors, newlinemicropumps, accelerometer, control valve, atomic force microscope, and biomedical newlineas smart structures. newlineIn FGPM, it is challenging to bridge the gap between properties and structures for newlinecustomization and derive structural continuity for improvements to appearance and newlinemechanical performance. Hence a new numerical modeling is developed to newlinedemonstrate the vibration behavior of axially functionally graded piezoelectric newlinematerial (AFGPM) where all electromechanical properties are varied continuously newlinealong the axial direction in accordance with power law and exponential law newlinedistributions. A modified Timoshenko beam model is employed which is actuated newlineusing piezoelectric shear effect. newline