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The defense date of the thesis is 2007-08-30
The current date is 2019-03-22
URN etd-0830107-161953 Statistics This thesis had been viewed 1734 times. Download 5 times. Author Wei-peng Hung Author's Email Address No Public. Department Mechanical Engineering Year 2006 Semester 2 Degree Master Type of Document Master's Thesis Language English Page Count 140 Title FREE VIBRATION OF ORTHOTROPIC ANNULAR MINDLIN PLATE OF VARIABLE THICKNESS Keyword Rayleigh-Ritz method Mindlin's thick plate rotary inertia shear deformation natural frequency natural frequency shear deformation rotary inertia Mindlin's thick plate Rayleigh-Ritz method Abstract 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.
Advisor Committee Chao-Ming Wang - advisor
Ying-Chun Chang - advisor
none - co-chair
Files Date of Defense 2007-07-20 Date of Submission 2007-08-30