| Summary: | 碩士 === 國立臺灣大學 === 機械工程學研究所 === 101 === This paper presents the free vibration analysis of piezoelectric thick circular plate based on Mindlin plate theory and thin plate theory. The analytical solutions are derived and validated by comparing the resonant frequencies, corresponding mode shapes and the ratio between in-plane and out-of-plane vibration modes of the piezoelectric circular plates with those obtained by finite element analysis. To investigate the difference between Mindlin plate theory and thin plate theory, we adopt different radius-thickness ratio of the plate under free and clamped boundary conditions. Mindlin plate theory provides better results than thin plate theory with different radius-thickness ratio. This is the reasonwhy Mindlin plate theory is also called thick plate theory.
This study investigates the transverse and planar vibration characteristics of two-layered piezoceramic bimorph under free and clamped boundary conditions by theoretical analysis mentioned above, finite element numerical calculation and experimental measurements. It is noted that the resonant frequencies and mode shapes of the series-type and parallel-type disk bimorph present different dynamic characteristics under different boundary conditions.
With piezoceramic materials and energy harvesting system, it is possible to harvest power by vibrating structures. An electromechanical shaker is used to excite the specimens of piezoceramic bimorph to generate the electric voltage and to light up the LED. Good agreements of dynamic characteristics determined by theoretical analysis, experimental measurements and numerical calculation are presented for two types of disk bimorphs. Finally, we can conclude the relationship between the inverse piezoelectric effect and the direct piezoelectric effect.
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