本文分析圓柱殼大變形，探討圓柱淺殼受均佈載重或彎矩外力作用下所產生之大變位分析。一般圓柱薄殼分析大都根據Love 古典板殼理論，只能適用於微小變位，當板殼產生大的位移或旋轉時即無法適用。本文由變形前後薄殼之幾何形狀變化，推導其在大變形下之微分方程式來建立一套分析理論，由中平面變形後位置與橫向剪應變五個變數組成非線性常微分方程組，再引入Newton-Raphson Method 使控制方程式及邊界條件方程式加以線性化，數值方法部份則利用微分再生核近似法進行聯立方程組求解，並利用無元素法（DRKM）來解析圓柱淺殼變形分析等問題。利用本文所建立方法不但可分析圓柱殼之大變形行為，也可用來探討圓柱淺殼之平跳(snap through)現象等。

In the paper, form the configurations of the cylindrical shell before and after deformation, we derive its strains and equilibrium equations under large diaplacement. Using the coordinate of the middle surface of the shell and its transverse shear strains as the field functions, five nonlinear partial differential equations are established for the system. To solve those nonlinear equations, we adopt the Newton-Raphson method to linearlize the differential equations and using the differential reproducing kernel method to solve the linearlized differential equations. An analytic solution for cylindrical shell under pure bending and some numerical solution for the snap through of shallow shell are examined. The present theory is useful in analysis the behavior of the cylindrical shell under large displacement.

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