Cylindrical bending of laminated plates with distributed and segmented piezoelectric actuators/sensors

The generalized plane quasistatic deformations of linear piezoelectric lami nated plates are analyzed by the Eshelby-Stroh formalism. The laminate cons ists of homogeneous elastic or piezoelectric laminae of arbitrary thickness and width. The three-dimensional differential equations of equilibrium for a piezoelectric body are exactly satisfied at every point in the body. The analytical solution is in terms of an infinite series; the continuity cond itions at the interfaces between adjoining laminae and boundary conditions at the edges are satisfied in the sense of Fourier series. The formulation admits different boundary conditions at the edges and is applicable to thic k and thin laminated plates. Results are presented for laminated elastic pl ates with a distributed piezoelectric actuator on the upper surface and a s ensor on the lower surface and subjected to different sets of boundary cond itions at the edges. Results are also provided for a piezoelectric bimorph and an elastic plate with segmented piezoelectric actuators bonded to its u pper and lower surfaces.