本文根據三維漸近彈性力學理論，藉由微擾法推導出含壓電複合層殼之三維漸近解析理論。

　　首先，將三維彈性力學基本方程式重新組合，以位移場、橫向應力及電位移為主要變數，消去平面應力場量；將各場量做適當的無因次化處理，選定一微小參數，使用漸近展開法，將各場量展開成與微小參數相關之冪集數型式，原三維控制方程式可分離成對應於該微小參數所對應之不同階數的控制方程式，由低階至高階，循序將各方程式沿厚度方向積分，可導得各階的位移及應力之二維方程式。低階場量可為高階修正場量之變數求解依據，如此逐階循環修正，即可求的收斂之精確解。

　　文中所推得之含壓電複合層殼之三維漸近解析理論，討論兩端皆為簡支承承受正弦型式分佈外力下之數值範例，其數值驗證，不論在收斂性於精確度上均顯示出理想之結果。

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