Analysis of functionally graded piezoelectric plate of arbitrary gradient distribution in cylindrical bending

This paper studies an orthotropic functionally graded piezoelectric plate with arbitrary distributed material properties in cylindrical bending, which is simply supported and grounded on its two opposite edges. The state equations of the functionally graded piezoelectric material are obtained based on the state space approach and a Peano-Baker series solution is obtained for the coupling electroelastic fields of the functionally graded piezoelectric plate subjected to mechanical and electric loads on its upper and lower surfaces. The influence of different material properties on the structural response of the plate is studied using the obtained solutions.