One-dimensional finite element model based on a higher-order framework for efficient post-buckling analysis of stiffened cylindrical structures

Tite: One-dimensional finite element model based on a higher-order framework for efficient post-buckling analysis of stiffened cylindrical structures (DOI)
​​​​​​​Authors:  Omid Mir, Mojtaba Farrokh & Erasmo Carrera.
Journal:  Meccanica
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Abstract: The post-buckling behavior of cylindrical shells was modeled using an efficient one-dimensional finite-element method. Compared to traditional three-dimensional models which require highly intricate calculations to analyze post-buckling behavior, this technique succeeded in lowering the number of degrees of freedom by 60–64% while retaining accuracy. Using higher-order Taylor expansion, the displacement function was derived. To demonstrate the ability of the model, additional geometric parameter variations were evaluated, thereby boosting its capability to simulate complex structural responses across a broader range of conditions. The nonlinear governing equations derived from the principle of virtual work were solved using the Newton–Raphson method under the arc-length constraint. Numerical results proved the effectiveness of the model, as it captured highly intricate post-buckling modes with a great extent of accuracy at a significantly reduced computational cost. The incorporation of higher-order terms and stiffener effects enables predictions to be made with even higher accuracy, especially in large deformations.