Transverse Vibration Analysis forPiezoceramic Plates by using Ritz’s MethodTransverse Vibration Analysis for Piezoceramic Plates by using Ritz’s Method

• Main Authors: Yi-Yu Chen, 陳逸裕
• Format: Others
• Language: zh-TW
• Published: 2005
• Online Access: http://ndltd.ncl.edu.tw/handle/36345454115822681727

碩士 === 清雲科技大學 === 機械工程研究所 === 93 === This thesis presents the Ritz’s method incorporated with the equivalent constants vibration of piezoceramic rectangular plates with different boundary conditions, and the circular disks with V-notche. By comparing the characteristic equations of resonant frequencies between isotropic and piezoceramic disks, the equivalent Poisson’s and equivalent bending stiffness are derived and then the resonant frequencies of transverse vibration can be obtain for piezoceramic plates. Two optical techniques, amplitude-fluctuation electronic speckle pattern interferometry (AF-ESPI) and laser Doppler vibrometer(LDV), are employed to validate the analytical results. The LDV system is used to measure the resonant frequencies of transverse vibration. However , both the transverse vibration modes and resonant frequencies of piezoceramic plate are obtained by the AF-ESPI method. Numerical results obtained by finite element method(FEM) are compared with those from theoretical analysis and experimental measurements. It is shown that the theoretical predictions of resonant frequencies and the corresponding mode shapes agree well with the experimental and numerical results.