FREE VIBRATION OF MAGNETO-ELECTRO-ELASTIC CIRCULAR CYLINDER WITH TWO SIMPLY SUPPORTED ENDS

摘要

Based on the general solution of transversely isotropic magneto-electro-elasticity in cylindrical coordinates, this paper gives an three-dimensionally exact solution for the free vibration of circular cylinder with two simply supported ends. The two displacement functions in the general solution are expanded in terms of trigonometric functions in the circumferential and axial directions. Then the original three-dimensional problem becomes one-dimensional and is solved readily. The solution satisfies the governing equations and boundary conditions at every point and is three-dimensionally exact. The proposed method can also be extended to circular cylindrical panels.