臺灣博碩士論文加值系統

本文第一部份針對沿z軸極化之半平面壓電陶瓷，表面有極薄之實圓電極，探討其軸對稱之電彈場問題。根據線彈性壓電力學，利用漢可轉換可推導出對偶積分方程式，並求得閉合解。第二部份探討有限厚度之壓電陶瓷，表面有極薄之實圓電極, 探之軸對稱之電彈場問題。經複雜的數學推導，將求得之對偶積分方程式化簡為第二類弗雷德霍姆積分方程式。針對第二類雷德霍姆積分方程式，討論當中所遇到困難和未來可能工作。

The first part of the thesis derives analytically the axisymmetric electro-elastic field of a piezoelectric ceramic half plane with circular surface electrode. The piezoelectric material is polarized along the z-axis. The dual integral equations are derived by using Hnakel Transform and solved by transforming functions into the Fredholm integral equation of the second kind. The second part deals with the finite thickness disk. Due to mathematical difficulty encountered, specific results are obtained in the thesis. A further studies for solving the dual integral equations are needed.

摘要 I
英文摘要 II
目錄 III
表目錄 VI
圖目錄 VII
符號說明 IX
第一章 緒論 1
§1.1 前言 1
§1.2 文獻回顧 3
§1.3 研究目的與架構 7
第二章 無窮遠軸對稱表面電極之壓電體分析 8
§2.1 公式推導 8
§2.2 問題描述 14
§2.3 對偶積分方程式 16
§2.4 電彈場公式 19
§2.5 數值結果檢討與比較 20
第三章 有限厚度軸對稱表面電極之壓電體分析 31
§3.1 問題描述及推導 31
§3.2 後續工作說明及困難探討 37
參考文獻 39
附錄A 42
附錄B 45
附錄C 47

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