本文中將會探討一貼有壓電材料與膠黏著層的Timoshenko懸臂樑受外力及外加電壓下的行為，其中包括壓電材料的電荷方程式。有限元素方法中的形狀函數是由運動方程式的靜態位移解建立，並以有限元素方法來建立整個樑結構的耦合方程式組。為了使整個樑結構的震動被抑制，在系統中加入電阻連接於壓電材料層的兩端。最後以Newmark's scheme來分析系統的響應。
　　將電壓置於致動器與外力施於自由端，改變壓電材料層位置、長度、厚度以及膠黏著層厚度，並探討其對系統受負載後的位移與旋轉角度分佈情況、收集電荷數量和減震的效果。

In the thesis, the behavior of the cantilevered Timoshenko beam, whose surface is partially mounted with piezoelectric material and adhesive layer, subjected to an external force and applied voltage is studied. The charge equation of piezoelectric material is included in the study. The shape functions of one element of the entire beam are obtained by solving the equations of static equilibrium with nodal displacements of the element. Then, the finite element approach is adopted to set up the coupling equations of the motion of the entire beam and induced voltage on the piezoelectric material. To suppress the vibration of the entire beam, a resistor is inserted to connect two surfaces of the piezoelectric material. The Newmark’s scheme is adopted to analyze the behavior of the entire system. An external voltage apply at the actuator and an external force apply at the free end of the entire beam will be studied. The effects of the location, length and thickness of the piezoelectric material and thickness of the adhesive layer on deflection, torsion angle, collecting electric charge and the damping are investigated.

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