| Summary: | 碩士 === 大同大學 === 機械工程學系(所) === 95 === Natural frequency of orthotropic annular plates with particular thickness variation is investigated based on Mindlin’s thick plate theory in this study. Also two outer restrained edges: simply -supported and clamped conditions are considered. In other words, the effects of shear deformation and rotary inertia are considered. In order to solve the governing eigenvalue problem, boundary characteristic orthonormal polynomials are applied in Rayleigh-Ritz method. Frequency parameters of the plates are evaluated for different values variables, such as ratio of radii, thickness ratio, thickness constant, taper parameter, orthotropic rigidity ratio, and vibration modes. The numerical convergence of the method is tested and a comparison of results for special cases of isotropic annular plates shows good accuracy. The effects of plate geometry and material properties on frequency parameter are demonstrated in forms of tables and figures.
Therefore, in this study, the dynamic characteristics of plates can be predicted accurately by considering all effects of variables for different vibration modes.
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