Nonlocal vibration characteristics of a functionally graded porous cylindrical nanoshell integrated with arbitrary arrays of piezoelectric elements

Abstract

This article studies free vibration of a functionally graded porous cylindrical small-scale shell made from porous metal and ceramic based on power law distribution. It is bonded with an adjustable array of strip-like piezoelectric elements. The behavior of integrated structure is modified by change of quantity and location of the elements. Motion equations are achieved through first-order shear deformation theory and principle of virtual work. Stress-strain relations are developed via nonlocal theory. Two comparative studies are presented for validation of formulation. A parametric study is reported to investigate effects of input parameters.