關於壓電陶瓷材料振動特性的實驗探討，一般皆侷限於單層壓電體的分析，然而，為了提昇其競爭力及擴展壓電特性在工程上的應用，多層式或複合式的壓電結構是近年來主要發展趨勢。為了增進對這類型壓電結構振動特性之瞭解，在其共振頻率及共振模態的實驗量測上有其必要性。由於壓電材料具備電能及機械能耦合效應，因此本篇論文將採用以位移量測為基礎的光學干涉技術及以電場特性為基礎的阻抗分析技術獲得壓電材料的振頻與振型等資料。
本文中以三種實驗技術AF-ESPI、LDV及阻抗分析相互配合，首先對單層壓電材料的振動特性進行實驗量測，並利用有限元素分析提供數值驗證，之後以披覆四種不同電極的壓電平板為例，探討電極分佈對平板振動特性之影響。最後則將相同分析方法應用到積層式壓電陶瓷致動器及壓電陶瓷複合層板振動特性之探討；在壓電陶瓷複合層板部分也將對壓電陶瓷在層板中的感測特性進行初步的評估。

The investigations of vibration characteristics for piezoceramic materials are usually restricted to the signal layer case. To extend the engineering applications for piezoceramic materials, the multi-layered or composite structure is preferred in future design concept. To have a thoroughly understanding on the vibration characteristics of piezoelectric multi-layered structures, the experimental measurements of resonant frequencies and mode shapes are important. Because the coupling effect between the mechanical energy and electrical energy in piezoelectric materials, the experimental techniques used in this dissertation include the optical interferometry that is based on the displacement measurement and the impedance analyzer that is based on the electrical properties measurement.
In this dissertation, three experimental techniques, AF-ESPI、LDV and impedance analyzer are used to obtain the vibration characteristics of piezoceramic materials and the experimental results are verified by FEM simulation. Firstly, the single layer cases for beams and plates that are made of piezoceramics are analyzed. Then, square plates covered with four different design of electrodes are used to investigate the influence of electrode effect on the vibration properties of piezoceramics plates. Finally, the same methodology is applied to analyze the multi-layered piezoelectric actuator and the piezoelectric laminated composite structures. A preliminary study of piezoelectric materials used as a sensor embedded in a piezoelectric laminated composite plates is made.

中文摘要 一
英文摘要 二
目錄 四
表目錄 七
圖目錄 九
符號說明 十四
第一章 緒論
1-1 研究動機 1
1-2 文獻回顧 4
1-3 內容簡介 13
第二章 實驗技術的理論推導及系統架設
2-1 電子斑點干涉術的基本理論 15
2-1-1 面外振動的量測 16
2-1-2 面內振動的量測 20
2-2 雷射都卜勒振動儀 24
2-2-1介紹 24
2-2-2雷射都卜勒振動儀的量測原理 27
2-2-3 LDV-DSA量測架構說明 30
2-3 阻抗分析儀用於壓電元件共振頻率的判定 32
第三章 壓電材料之振動特性分析
3-1 壓電理論 36
3-2 壓電樑之振動特性分析 42
3-2-1 壓電樑統御方程式之推導 42
3-2-2 以 Galerkin 方法分析單邊及對邊固定的壓電樑
振動 46
3-2-3 結果與討論 51
3-3 壓電平板的振動特性分析（一） 56
3-3-1 簡介 56
3-3-2 實驗結果及數值分析的比較 57
3-4 壓電平板的振動特性分析（二） 63
3-4-1 簡介 63
3-4-2 實驗結果與數值分析的比較 63
3-5 分佈電極壓電平板的振動特性分析 67
3-5-1 簡介 67
3-5-2 實驗結果與數值分析的比較 67
第四章 積層式壓電致動器的動態特性分析
4-1 簡介 75
4-2 單層壓電圓板的振動特性分析 76
4-3 積層式圓柱形壓電致動器之振動特性分析 80
4-4 結論 84
第五章 壓電陶瓷複合層板之振動特性分析
5-1 簡介 87
5-2 複合材料製造及材料係數的量測 90
5-2-1 複合材料選擇 90
5-2-2 複材製造及材料係數量測的相關實驗設備 91
5-2-3 複合材料製程及材料係數量測 93
5-3 壓電陶瓷複合層板的振動特性之數值分析與實驗量測 98
5-3-1 壓電陶瓷複合層板的製造程序 98
5-3-2 複材層板理論的簡介 99
5-3-3 FEM的數值模擬分析 103
5-3-4 實驗結果與數值分析比較與討論 105
5-4 壓電陶瓷材料在複合層板中的感測特性分析 111
5-4-1 簡介 111
5-4-2 實驗結果 112
5-5 結論 114
第六章 結論與展望
6-1 本文主要成果 116
6-2 尚待努力方向 118
參考文獻 120

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