本文為探討貼附有壓電材料Timoshenko懸臂樑與簡支樑之動態響應，結構中的第一和第三跨距為單層的 Timoshenko 樑，第二跨距為Timoshenko 樑上層貼附有壓電材料所組成，採用模態法計算壓電懸臂樑的自然頻率變化並探討此結構受移動負載之動態響應。
在模態法方面，為了解壓電層樑之力學行為，則利用應力場、 應變場與位移場的關係推導出應變能和動能，再以Hamilton's Principle求得壓電層樑之運動方程式，再將運動方程式中的單變數轉換為時間和距離雙變數，再配合邊界條件計算出力場函數，進而解出模態頻率與模態示意圖，並討論在不同的幾何參數條件下對模態頻率之影響。
動態響應則是以前述的模態法作為基礎，施加一個移動負載並使用Runge-Kutta數值積分法於求解動態方程式，計算樑之位移大小和壓電片表面的儲存電荷量。改變壓電片的幾何條件、並施加電阻，探討整體樑的自由端所產生的位移變化以及壓電片收集電荷情形。

The purpose of this thesis is to study the coupling effects of mechanical and electrical responses of two types of Timoshenko beams: cantilevered and simply-supposed, which is mounted with a piezoelectric material on the top surface.
The charge equation of the piezoelectric material is included in the study. Governing equations and boundary conditions are derived via the Hamilton’s principle. The natural frequencies and the corresponding sets of mode shape functions are obtained by analytical method. A moving load on the beam is taken as an example. 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. In order to suppress the vibration of the beam, a resistor is connected the top surface and the bottom surfaces of piezoelectric material. Runge-Kutta method is adopted to analyze the beam’s kinetic response.

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