The Electro-Elastic Analysis for a Half-Plane of Piezoelectric Ceramic with a Surface Annular Electrode

• Main Authors: Wei-Guo Wang, 王維國
• Other Authors: Ching-Hwei Chue
• Format: Others
• Language: zh-TW
• Published: 2006
• Online Access: http://ndltd.ncl.edu.tw/handle/75704653556698153133

碩士 === 國立成功大學 === 機械工程學系碩博士班 === 94 === In this paper the axisymmetric problem of the electroelastic of piezoelectric ceramic in a half-plane with thin circular or ring surface electrode is formulated and analyzed. The material is polarized along z-axis, the axial direction. Based on the linear electroelastic theory, Hankel transform method is used to reduce the circular and ring surface electrode problems to dual integral equations and triple integral equations, respectively. The electroelastic field of the circular electrode problem is obtained in closed form by exactly solving the dual integral equations. However, due to the complicated mathematics, the triple integral equations will reduced to an infinite set of simultaneous equations. Part of the electroelastic field for the ring electrode problem can be obtained numerically. The results show that the electroelastic filed near the electrode tips has the conventional square root singularity for both electrode problems.