Vibration Characteristics for Piezoceramic Elliptical Plates

• Main Authors: Chou-Yungr Chien, 簡洲永
• Other Authors: Chi-Hung Huang
• Format: Others
• Language: zh-TW
• Published: 2007
• Online Access: http://ndltd.ncl.edu.tw/handle/56976285722412485066

碩士 === 清雲科技大學 === 機械工程研究所 === 95 === The thesis presents the Ritz’s method incorporated with the equivalent constants to investigate the transverse vibration of piezoceramic elliptical plates with different boundary conditions. By comparing the characteristic equations of resonant frequencies between isotropic and piezoceramic disk, the equivalent Poisson’s and equivalent bending stiffness are derived and then the resonant frequencies of transverse vibration can be obtained for piezoceramic plates. Numerical results obtained by finite element method(FEM) are compared with those from theoretical analysis. It is shown that the theoretical predictions of resonant frequencies and the corresponding mode shapes agree well with numerical results. Besides, the expansion vibration of multi-layered piezoceramic composite plates is also carried out by the similar methodology. With reference to the different axis ratios, the dependence of transverse resonant frequencies on equivalent Poisson’s ratio is also discussed.