本文探討貼附有壓電片Timoshenko曲樑之動態分析，將壓電材料貼附在整體結構的第二跨距下方，採用模態法計算自然頻率變化並探討此結構受移動負載之動態響應及電荷收集的情形。
利用應力場和應變場推導出此壓電曲樑之應變能項與動能項，再以漢米爾頓原理得出結構樑之運動方程式。
模態法則是將運動方程式中的雙變數函數拆成兩個單變數函數求解出位移函數，配合邊界條件計算出力場函數，進而求解結構自然頻率，並討論在不同的幾何參數下對模態頻率的影響。
動態分析則是以模態法作為基礎，施加一個移動負載，探討改變結構及壓電片幾何條件對整體樑的自由端位移變化以及壓電片收集電荷情形。

The purpose of this thesis is to study the dynamic responses of a curved beam,which has a piezoelectric sheet mounted on the bottom surface. The Timoshenko theory is adopted in this study. The lower layer of the second span is a piezoelectric sheet. The displacement and rotation of all components of the entire beam are set. The displacements, stresses, strains, electric field and electric displacements are used to derive strain energy, kinetic energy. The governing equations and the corresponding boundary condition are derived via the Hamilton’s principle. The natural frequencies are obtained by analytical method. Dynamic analysis is based on the modal analysis method. The method is presented to obtain the dynamic responses of the entire beam induced by a load moving on the beam. The effects of traveling velocity of the load and the geometric parameters of the beam on both histories of the displacement of the beam and the electric charge accumulation on the piezoelectric surfaces are investigated.

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