本文所探討的是附帶有加強環之雙跨距圓柱殼結構其自由振動的特性，接著考慮圓柱殼之中心面以及加強環之中心線其轉角、位移與橫切面之轉動慣量以及剪切效應。首先第一步驟是先建立圓柱殼在第i個跨距時的應力場、應變場與位移場的關係，接下來再進一步推導圓柱殼之運動方程式，之後再藉由轉換矩陣法來計算並分析圓柱殼結構之自由振動，以及其模態頻率與其相對應之模態形狀函數，最後則探討圓柱殼在長度、厚度、半徑等不同的幾何參數下對於頻率之影響以及頻率有何不同，並求出壓電材料其電荷之收集狀況。
在分析帶有內外壓電加強環之雙跨距圓柱殼結構時，考慮加強環之厚度、寬度對整體結構自由振動的影響以及此圓柱殼受到集中負載其動態響應，並運用之前所計算的來證明模態形狀函數其正交性質，接著利用模態法推導圓柱殼結構受到集中負載之模態振幅控制方程式，之後利用模態形狀函數以及模態法求出的動態方程式，在加上計算出振幅以及位移，即可以求出壓電材料上之電荷的收集情況。

The purpose of this thesis is to explore the dynamic analysis of the two-span composite cylindrical shells stiffened with a piezoelectric ring. The governing equations and boundary conditions of the entire composite cylinders are derived via the Hamilton’s principle. The natural frequencies and the corresponding sets of mode shape functions are obtained by analytical method. The method of modal analysis is adopted to investigate the dynamic responses of the composite shells and the electric charge accumulated on the surfaces of the piezoelectric ring caused by a moving load.
There are two kinds of composite shells, the difference between the two kinds of shells is theeir composite material arrangement. Two kinds of arrangements are [0/90/0/0/90/0] and [90/0/90/90/0/90], respectively. The natural frequency of shell will decrease while the ring thickness and width increase. The natural frequency of [90/0/90/90/0/90] shell will decrease while the ring thickness and widths increase. The [0/90/0/0/90/0] shells subjected to a moving load, the deformation of shell, and voltage on the ring will decrease as the ring thickness and width increase. As for the shells, the deformation of the shell and voltage on the ring will decrease as the ring thickness and width increase.

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