本文主要探討黏著劑對於複合材料樑表面貼附壓電片之動態分析，基於Timoshenko樑理論，不考慮阻尼、溫度效應下，將樑結構分成三個跨距，利用位移場推導出應變與應力的關係和動量，由漢米爾頓定理可得運動方程式，以模態分析法求得整體樑的自然頻率以及其對應的模態形狀函數，其中第一三跨距皆為複合材料結構，第二跨距部分分成有無添加黏著劑(或稱膠黏劑)兩種形式，無添加膠黏劑部分為三層以壓電材料-複合材料-壓電材料所組成的三明治結構，而有添加膠黏劑部分為五層以壓電材料-膠黏劑-複合材料-膠黏劑-壓電材料所組成的三明治結構，將兩種不同形式的樑個別計算，由模態形狀函數的正交性與模態疊加法可求得所有位移函數，使用的運算軟體為Mathematica數學運算軟體，最後再帶入模擬數據，在不同的幾何條件，如第一跨距長度、第二跨距長度、膠黏層厚度、複合材料纖維角度和壓電層厚度下，模擬受一激振外力作用，其添加膠黏劑之效應與整體樑的動態響應，並提出結論與建議。

The purpose of this thesis is the study of the bonding layer effect on dynamic response of composite beam with surface mounted piezoelectric material, based on the Timoshenko beam theory without considering the damping and temperature effects. The structure is divided into three spans; the use of the displacement field is deduced from the relationship between strain, stress and momentum. The equation of motion by Hamilton’s principle uses the modal analysis to obtain the natural frequency and its corresponding mode shape functions, where the first and third spans are composite structures. The second span section is divided into two forms, with and without a bonding layer; the sandwich structure without a bonding layer is made up of piezoelectric materials and composite materials while the other one is made up of piezoelectric materials, adhesives and composites. Calculations are done in two different forms, the solution of displacement functions of beams using orthogonally modal shape functions and the expansion theorem using the mathematical computing software. Finally, there is the analog data in a variety of geometric conditions, such as the length of the first and second span, the thickness of the bonding layer, the composite fiber angle and the thickness of the piezoelectric layer simulated by a vibrating external force. Analyze the dynamic response of beams with and without bonding layer, and propose the conclusions and suggestions.

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