Thermoelastic analysis of a rotating functionally graded cylindrical shell with functionally graded sensor and actuator layers on an elastic foundation placed in a constant magnetic field

Abstract

The behavior of a rotating exponentially graded hybrid cylindrical shell subjected to an axisymmetric thermoelectromechanical loading and placed in a constant magnetic field is investigated. The hybrid shell consists of a functionally graded material host layer embedded with functionally graded piezoelectric material layers as sensors and/or actuators that are perfectly bonded to inner and outer surfaces of a shell. The shell is simply supported and could be rested on an elastic foundation. The material properties of functionally graded material and functionally graded piezoelectric material are assumed to be exponentially graded in the radial direction. To solve governing differential equations, the Fourier series expansion method through the longitudinal direction and the differential quadrature method across the thickness direction are used. Numerical examples are given to demonstrate the effects of material inhomogeneity, magnetic field, elastic foundation, thermal loading, and angular velocity on the response of the hybrid shell.