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The thermo-electromagnetoelastic behavior of a rotating functionally graded piezoelectric cylinder

In this paper, the dynamic response of a rotating radially polarized functionally graded piezoelectric hollow cylinder is investigated. The cylinder is placed in a constant magnetic field and subjected to a thermo-electro-mechanical loading. All material properties are taken to follow a power law along the radial direction of the cylinder. The temperature distribution through the thickness of the cylinder is obtained by solving the heat conduction equation. The two coupled differential equations in terms of the displacement and electric potential accounting for the effects of the thermal and magnetic fields are solved directly. Numerical examples of the analytical results are given to illustrate the effects of non-homogeneity parameter, angular velocity, temperature gradient, magnetic field, and different boundary conditions on the thermo-electromagnetoelastic behavior of the hollow cylinder. The results in the absence of the thermo-magnetic loading are verified with those reported in the literature.