Vibration Analysis for the Piezoelectric Thin-Walled Tube with Breating Modes

• Main Authors: Kai-Hong Luo, 羅凱鴻
• Other Authors: Chi-Hung Huang
• Format: Others
• Language: zh-TW
• Published: 2007
• Online Access: http://ndltd.ncl.edu.tw/handle/09999260335101877159

碩士 === 清雲科技大學 === 機械工程研究所 === 95 === The radial expansion vibration modes (breathing modes) of a piezoelectric thin-walled tube is investigated theoretically and numerically by using the Hamilton’s principle incorporated with the Galerkin’s method. When the displacement, stress, and electric field are determined, the equations of motion with different boundary conditions are derived by using Hamilton's variational principle. To obtain the resonant frequencies, the eigenfunctions are determined and solved by using the Galerkin’s method. It is noted that the equivalent constants and methodology derived in the work can be employed to investigate the breathing modes of isotropic thin-walled tubes. Numerical calculations using the finite element method (FEM) are performed and the results are compared with the theoretical analysis. Excellent agreements are obtained for results of resonant frequencies. Finally, according to the theoretical calculations, resonant frequency variations versus different geometric parameters are also discussed for the first several modes in the work.