Analytical solutions are acquired for radially polarized and magnetized rotating magnetoelectroelastic hollow and solid cylinders. The cylinders are orthotropic and infinitely long and are subjected to a combination of thermal, magnetic, electric, and mechanical loadings. The symmetric and steady state heat conduction equation is solved based on a general form of thermal boundary conditions to give the temperature distribution along the radial direction of cylinders. The governing ordinary differential equations in terms of displacement, electric potential, and magnetic potential with considering the thermal and inertial effects are obtained and solved in an exact form using the straightforward successive decoupling method. Numerical results are illustrated to reveal influences of thermal boundary condition, angular velocity, aspect ratio, and magneto-electro-mechanical boundary condition on the multiphysical responses of the rotating hollow and solid cylinders. The results are validated with those available in the literature.

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