Coupled Identification Procedure of Piezoelectric Constants using PSO and Exact Solution by Stroh-like Formalism

The paper presents an optimization technique for the identification of dielectric and elastic properties of simply supported rectangular functionally graded piezoelectric plates (FGPM) using the exact three dimensional solution for the static deformations under mechanical load of FGPM rectangular plates. The procedure uses the Stroh-like formalism to obtain the exact solution for FGPM plates which can be expressed in more concise and easier handling forms comparing to other more complicated semi-analytical or numerical approaches used in the literature. Particle Swarm Optimizer (PSO) is then used to solve the optimization problem in order to identify the piezoelectric material properties in the z-direction. In order to validate the given exact solution, a numerical example for a single-layer FGPM plate is presented and compared to the previous findings in the literature. Several numerical examples are presented using PSO algorithm to solve the identification problem of piezoelectric material constants and good results are obtaind. The obtained results confirm the efficiency of the proposed coupled procedure and demonstrate that the PSO algorithm is an effective technique for solving optimal design problems to improve the performance of the piezoelectric materials for more energy storage.