本研究透過理論分析及有限元素數值計算，探討壓電陶瓷圓盤及圓環在單層、雙層堆疊及雙層堆疊複合等向性材料於不同邊界條件的振動特性，雙層壓電陶瓷依極化方向不同分為串聯型及並聯型，並將各類型壓電陶瓷振動模態分為軸向、切向及徑向各別探討，以期對壓電元件之三維振動特性有完整的了解。本研究第二部分探討市售超音波霧化器之振動特性及霧化效果，利用理論解析及數值計算，設計並聯型雙層壓電圓環複合等向性材料於自由邊界下三維耦合特性的尺寸參數，並使用全域式電子斑點干涉術（Electronic Speckle Pattern Interferometry, ESPI）、 雷射都卜勒振動儀（Laser Doppler Vibrometer, LDV）及阻抗分析儀三種實驗技術量測壓電圓環的振動特性，實驗結果再與理論解析、FEM數值計算進行比較，並利用 LDV 量測共振頻率及最大位移量，將其結果代入聲壓解析做計算，探討聲壓、振動特性及霧化效果的關係，本研究成果可在學術研究領域或工業界的實際應用中，提供單層與多層壓電陶瓷圓盤及圓環於各種邊界條件下的振動資訊。

This thesis used on the theoretical analysis, finite element numerical calculation
of piezoelectric circular and annular plates, which are including one-layer
piezoelectric disk, two-layered piezoelectric plates and two-layered piezoelectric
plates compounded with isotropic materials. Furthermore, multilayer piezoelectric
component is composited of the same and opposite poling direction, and it has
different vibration characteristics by series and parallel electrically connections. The transversal, extensional, and tangential vibration characteristics for piezoelectric circular and annular plates with different boundary conditions are studied on theoretical anaylsis and finite element method. The second part of this study investigated on the vibration characteristics used on nebulizer. Using theoretical analysis and numerical calculation to design dimensional parameters of three-dimensional coupling characteristics of two-layer piezoelectric annular plates compounded with isotropic materials under traction-free boundary conditions. In this study, three experimental techniques, including AF-ESPI, LDV, and impedance analyzer, are used to obtain the vibration characteristics of piezoelectric annular plates. The experimental results are compared with the FEM and theoretical solutions. In order to establish the relationship between sound pressure, vibration
characteristics and atomization effect, the LDV experimental results of the maximum
displacement and resonance frequency are used to calculate the sound pressure.

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