This paper investigates the static bending, free vibration, and dynamic response of
monomorph, bimorph, and multimorph actuators made of functionally graded piezoelectric
materials (FGPMs) under a combined thermal-electro-mechanical load by using the
Timoshenko beam theory. It is assumed that all of the material properties of the actuator,
except for Poisson's ratio, are position dependent due to a continuous variation in
material composition through the thickness direction. Theoretical formulations are
derived by employing Hamilton's principle and include the effect of transverse shear
deformation and axial and rotary inertias. The governing differential equations are
then solved using the differential quadrature method to determine the important
performance indices, such as deflection, reaction force, natural frequencies, and
dynamic response of various FGPM actuators. A comprehensive parametric study is
conducted to show the influence of shear deformation, temperature rise, material
composition, slenderness ratio, end support, and total number of layers on the
thermo-electro-mechanical characteristics. It is found that FGPM monomorph
actuators exhibit the so-called 'non-intermediate' behavior under an applied electric
field.