本文內容以一階剪切變形理論以及虛功原理推導出適合分析圓錐薄殼之大變形理論，利用弧長法進行線性化再以移動最小二乘法配合擬Hermite型式近似，處理本構關係式以及平衡方程式。將平衡方程式依弧長法處理，將其平衡方程式線性化，並迭代計算使其接近其變形後的位置，進而求得其薄殼發生變形後的軸力、剪力以及彎矩。本文的數值範例分析了封閉圓錐殼討論其承受壓力的挫屈行為，以及承受內壓力膨脹時之非線性行為，還有開放式圓錐殼之突跳(snap through)行為。

In this thesis, the nonlinear theory for the large deformation of conical shells is investigated under the assumption of the first order shear deformation using the principle of virtual work. The functions of constitutive equations and equilibrium equations are linearized by the arc-length method and analyzed using the moving least squares approximation in the quasi-Hermite type formulation. Then, the deformed configurations and the associated forces will be obtained after the iterations. The numerical examples of the nonlinear behavior of conical shells are discussed in the study, and they includes the buckling behavior of conical shells, nonlinear behavior of the shell under internal pressure, and the snap-through behavior of the opened conical shell.

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