本文為薄殼大變形理論分析，以一階剪切變形為假設，由虛功原理推得本構方程式、平衡方程式及其邊界條件，並且採用移動最小二乘法配合擬赫米特型式加以線性求解。而非線性求解則使用牛頓疊代法搭配弧長控制，直至收斂值逼近收斂指標。其中為避免出現複數的可能，採用鬆弛因子修正非齊性位移增量。
本文之數值算例為分析圓柱薄殼及開放圓柱薄殼於不同邊界條件下，而外力型式為側向加載、軸壓、集中彎矩、剪力及扭矩等等，並與理論解比較增加可信度。目的為追蹤後挫屈及位移突跳路徑，並比較不同幾何條件下其工程性質，如臨界強度、勁度、撓度等等。

This study describes the large deformation analysis of the shell in the first-order shear deformation theory. The principle of virtual work is need to derive constitutive equations, equations of equilibrium and boundary conditions, and the moving least squares method mixed with the quasi-Hermite type formulation is also adopted to solve the linear problem. However, nonlinear equations are linearized with the Newton iteration method based on the arc-length controlling until the convergence value less than its requirement. In order to avoid complex roots, the relaxation factor is included to improve a homogeneous deformation increment.
The numerical examples of the article are to analyze cylindrical shells and partial ones with different boundary conditions and from multiple loading types, such as lateral loading, axial compression, bending moment, shear force and torsion. This thesis also compared the numerical result with the theoretical solution in a good agreement. The purpose of this study is to trace the post-buckling and snapping through effects, and investigate their mechanical behaviors, such as the critical strength, stiffness and deflection in different geometries.

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