本文在微小彈性變形與考慮一階剪力變形之假設條件下，依據變形前後幾何形狀之變化導出旋轉殼體在大變位下之應變量，並依據變形後位置上之平衡條件建立了旋轉殼體大變位之非線性分析理論。在數值分析上採用牛頓迭代法將非線性方程組化為線性方程組求解，並利用微分再生核法（DRKM）進行聯立微分方程組之數值求解。
利用上述方法本文進行了圓柱殼受均勻彎矩之大變形分析，並與解析結果比較，驗證理論與數值方法之正確性，並針對淺殼分析旋轉殼體之大變形、突跳…等非線性現象。結果顯示本文所建立之理論與分析方法的確能應用於旋轉殼體之幾何非線性行為分析。

In this paper, under the assumptions of small elastic deformation and first-order shear deformation and considering the change of the geometry form before and after deformation, we obtained the strains of large deformation of shell. And according to balance of the shell after deformation, we can set up an non-linear theory to analyze large deformation of shell of revolution. To solve the non-linear system of equations, we adopt Newton-Raphson method and use the DRKM to obtain the numerical solutions of the equations.

Using above mentioned methods, we proceed the large deformation analysis of cylinder shell that suffered uniform moment, compare with the analytical result, vertify the exactness of the theory and numerical method and analyze the large deformation and snaping throught of the thin shell of revolution. The result shows that the established theory and numerical method can be applied to the non-linear analysis of shell of revolution.

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