本文引用薄殼大變形理論，將應變與變位關係之幾何方程式及應力與應變關係之本構方程式、應力與外力關係之平衡方程式導入旋轉體薄殼之參數，進行旋轉薄殼大變形分析。其數值方法為利用移動最小二乘法搭配擬Hermite型式，將薄殼大變形理論較複雜之本構方程式及平衡方程式進行簡化，數值迭代求解方法為弧長法，將上述非線性方程式導成增量式後，即可進行線性化迭代，如此將可以分析薄殼大變形後之非線性行為，如：挫屈、突跳，由於弧長法不同於一般力控制與位移控制之迭代方法，其可較準確描述非線性後之路徑，所以可知道挫屈及突跳發生後之力與位移關係是如何變化。本文數值範例即分析封閉旋轉體薄殼挫屈及開放旋轉體薄殼突跳之行為。

This study refers to the theory of the large deformation shell, where subs the arguments of the shell of revolution is substituded into the geometric equations of relationship between the strain and displacement. The constitutive equations of the relationship between the stress and strain and the equilibrium equations of relationship between the stress and external force are also used in the large deformation analysis of the shell of revolution in the part of the numerical analysis, we use the moving least square method with the Quasi-Hermit type formulation to simplify the equations of the constitution and equilibrium. For the method of numerical iterations, we use the arc-length method to derive the non-linear equations with the increment scheme, and can perform the linear iteration and analyze the non-linear behavior of the large deformation of the shell, ex: buckling and snap through. Since the arc-length method is different from the general iteration methods of the force control and displacement control, it can be more accurate description of the post non-linear path. Thus, we can know how the relationship between forces and displacements changes after the buckling or snap through. In numerical examples, we analyze the behavior of the shell buckling of closed revolution and the shell snap through of open revolution, and all the results are reasonably accurate.

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