Isogeometric Dynamic Buckling Analysis of Trimmed and Multipatch Thin-Shell Structures
Isogeometric Dynamic Buckling Analysis of Trimmed and Multipatch Thin-Shell Structures
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DOI：
10.2514/1.j063273
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发表时间：
2023-10
期刊：
影响因子：
2.5
通讯作者：
Yujie Guo;Zhaolin Chen;Xiaohui Wei;Zhi Hong
中科院分区：
文献类型：
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作者：
Yujie Guo;Zhaolin Chen;Xiaohui Wei;Zhi Hong
本文将我们以前的薄壳结构的等几何动力屈曲分析工作扩展到裁剪和多面体的情况下，可以很容易地将功能，如切口和加劲肋。具体而言，本文采用一种改进的广义-[公式：见正文]时间积分格式，结合几何非线性等几何Kirchhoff-Love壳单元，模拟了薄壳结构的复杂屈曲和后屈曲行为。所提出的方法可以在保持动力屈曲分析二阶精度的同时适当阻尼高频分量。对于任意形状裁剪单元的积分，本文提出了一种几何精确的混合函数法，以提高壳体动力屈曲分析的效率。为了处理多面体的几何形状，一个基于惩罚的弱耦合方法的开发，在耦合补丁与修剪的接口，甚至与规定的角度，如加劲肋，可以分析。我们证明了所提出的框架的准确性，稳定性和灵活性与几个数值例子。特别是，“自由”和“部分自由”的控制点，惩罚因子，修剪，以及不同的建模策略对壳结构的动力解的影响进行了研究。
This paper extends our previous work on the isogeometric dynamic buckling analysis of thin-shell structures to the trimmed and multipatch situation where features such as cutouts and stiffeners can be easily incorporated. To be specific, a modified generalized-[Formula: see text] time integration scheme combined with a geometric nonlinear isogeometric Kirchhoff–Love shell element is used to simulate the complex buckling and postbuckling behaviors of thin-shell structures. The developed method can damp properly high-frequency contents while maintaining second-order accuracy in the dynamic buckling analysis. For the integration of arbitrary-shaped trimmed elements, a geometrically exact blending function method is developed to improve the efficiency of the dynamic shell buckling analysis. To deal with multipatch geometries, a penalty-based weak coupling approach is developed, where coupled patches with nonconforming trimmed interfaces or even with prescribed angles, such as stiffeners, can be analyzed. We demonstrate the accuracy, stability, and flexibility of the proposed framework with several numerical examples. In particular, the influences of “free” and “partially free” control points, penalty factor, trimming, as well as different modeling strategies on the dynamic solutions of shell structures are investigated.