Theoretical Analysis of Dynamic Characteristics and Investigation of Electrode Design for Piezoelectric Rectangular Plates
Date Issued
2008
Date
2008
Author(s)
Kuo, Chun-Yi
Abstract
The dynamic characteristics, resonant frequencies and mode shapes, of a piezoelectric rectangular plate are analyzed in this thesis. The variation method is used to establish constitutive equations and equations of motion for in-plane vibrations. The analytical solutions for in-plane displacement fields with free boundary and the associated normal stresses are obtained in Fourier’s series. The analytical series solutions are compared with three methods. One is the numerical computation from the of finite element method (FEM) software, another is the impedance spectrum measured by impedance analyzer, and the other is amplitude-fluctuation electronic speckle pattern interferometry (AF-ESPI) technique. From combination of the results obtained from theoretical prediction and experimental measurement, the dynamic characteristics of piezoelectric plate in resonance are completely analyzed. Furthermore, this thesis also provides the electrode design, according to the sum of the in-plane normal stress distribution and the electric flux calculated by FEM, to improve the excitation of the piezoelectric plate for in-plane vibration. Finally, the temperature distributions of PZT plate excited at different resonant frequency are obtained by infrared thermograph to indicate the influence on temperature field.
Subjects
piezoelectric rectangular plate
variation method
superposition method
resonant frequency
mode shape
electrode design
ESPI
Impedance analyzer
infrared thermograph
Type
thesis
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