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Reduced order modeling of a cantilevered pipe conveying fluid applying a modular methodology

机译：使用模块化方法的悬臂式管道输送流体的降阶建模

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摘要

In this paper, a modular methodology, in which constraints associated to compatibility conditions can be included a posteriori, is applied for the derivation of a non-linear reduced order model of a cantilevered pipe conveying fluid, a classical problem in the area of Fluid Structure Interaction (FSI). The dynamic response of this model is detailed in the neighborhood of the equilibrium state, by describing the dependency of the eigenvalues of its linearized form with respect to its parameters. For two scenarios, these responses are compared to benchmark results available in the literature. Also, two numerical simulations are proposed to compare how accurately the reduced order model can reproduce the results computed by a non-linear FEM model, previously proposed by the authors for this problem. The assessment of the numerical analyses indicates good agreement in the performed comparisons, which illustrates the good quality of the non-linear reduced order model proposed and suggests that the adopted modeling approach might be successfully applied for other problems in FSI.
机译：在本文中，采用模块化方法，其中可以包含与相容性条件相关的约束，可以用于后悬式，该方法用于导出悬臂式输送流体的非线性降阶模型，这是流体结构领域的经典问题互动（FSI）。通过描述其线性化形式的特征值相对于其参数的依赖性，在平衡状态附近详细说明了该模型的动态响应。对于两种情况，将这些响应与文献中提供的基准结果进行比较。此外，提出了两个数值模拟，以比较降阶模型可以如何精确地再现由非线性FEM模型计算出的结果，这是作者先前针对此问题提出的。数值分析的评估表明，在进行的比较中有很好的一致性，这说明了所提出的非线性降阶模型的良好质量，并表明所采用的建模方法可能会成功地应用于FSI中的其他问题。

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