Two-dimensional analytical solutions for multi-segmented piezoelectric panels: An EKM approach

Abstract

A 2-D closed-form analytical solution for the multi-segmented piezoelectric panel has been developed using the extended Kantorovich method (EKM). In this work, a study on the bending behavior of axially segmented piezoelectric panel with different materials have been carried out. This work consider two equally segmented piezoelectric panels made of piezoelectric fiber-reinforced composite (PFRC-2) and lead zirconate titanate (PZT-5A). Furthermore, a particular case of four equal segmented piezoelectric panel is also considered, which imitates an axially graded piezoelectric actuator. The panels are subjected to various boundary conditions and an uniform pressure loading at the top surface. Along the X-axis, interfaces are assumed to be perfectly bonded to satisfy the continuity of displacement and stress at each segment interface. 2-D finite element (FE) solutions using ABAQUS are also obtained to validate displacement and stresses. A good agreement between the analytical and 2-D FE results is observed for all the cases. The current development can be used as a benchmark solution for axially stacked plates or other complex problems.