Abstract
An effective theoretical method for investigating the vibration characteristics of eccentric annular plates is developed. The vibration equation of eccentric annular plates is solved by utilizing the Bessel function as the vibration mode function and combining it with the translational addition theorem for cylindrical vector wave functions. Substituting the boundary conditions into the vibration mode function yields the frequency equation. The natural frequencies and corresponding vibration modes of the plate are obtained by determining the natural frequency coefficients. Compared with the results obtained from the finite element method (FEM) and vibration experiment, the correctness of the mode shapes and natural frequencies of the plate obtained by the present method are validated. The influences of several parameters such as the eccentric distance, the structural parameters, and various boundary conditions on the vibration characteristics of the plates are discussed. An analysis on the mode composition of the eccentric annular plates is also presented. The research results are useful for the practical engineering applications of the eccentric annular plates.
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