Modeling vortex-induced vibrations of branched structures by coupling a 3D-corotational frame finite element formulation with wake-oscillators

IF 3.4 2区 工程技术 Q1 ENGINEERING, MECHANICAL Journal of Fluids and Structures Pub Date : 2024-01-19 DOI:10.1016/j.jfluidstructs.2024.104074
Alexandre Villié , Mauricio C. Vanzulli , Jorge M. Pérez Zerpa , Jérôme Vétel , Stéphane Etienne , Frédérick P. Gosselin
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Abstract

Branched structures are present in a diverse set of problems, from modeling branch pipe connections to simulating tree dynamics. Soft corals like the Bipinnate sea plume, have a branched geometry and are soft enough to bend under the waves. Due to their circular cross section, a vortex street forms in the coral’s wake inducing vibrations of its branches. Despite extensive studies on VIV in straight geometries, the three-dimensional (3D) dynamics of flexible branched structures remains uninvestigated. In this numerical and experimental study, we develop a novel formulation for the accurate computation of in-line and cross-flow VIV of frame structures undergoing large deformation. The finite element approach is used to model arbitrarily complex geometries of branched frame structures. Our formulation allows to model complex geometries with forks or sharp angles. The consistent 3D corotational formulation for frame elements computes the internal, inertial and hydrodynamic forces. A wake-oscillator approach models the near wake dynamics with fluctuating fluid forces on the structure in the in-line and cross-flow directions. The drag and lift coefficients follow distributed Van der Pol oscillators. Moreover, we implement the numerical resolution procedure in the open-source library ONSAS. The present formulation and numerical resolution procedure is validated by solving three examples, including comparisons with an analytical solution, a wake-oscillator, and experimental data from the literature. We also conduct experiments of a flexible and elastic cylinder clamped inside a water tunnel under a constant uniform flow. Amplitudes and power spectral density of the tip transverse displacements are compared with the model prediction. Finally, the proposed formulation is applied on a cylinder with two branches. The simulations demonstrate a multi-frequency response with higher amplitudes of displacements when additional branches are incorporated onto the cylinder, emphasizing the significance of considering VIV in nature and engineering applications for such geometries.

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通过将三维共向框架有限元公式与唤醒振荡器耦合,模拟支链结构的涡致振动
分支结构存在于各种问题中,从分支管道连接建模到树木动力学模拟。像双羽叶海羽这样的软珊瑚具有枝状几何结构,柔软得足以在波浪中弯曲。由于其横截面呈圆形,珊瑚的尾流中会形成涡街,从而引起珊瑚枝的振动。尽管对直线几何形状的 VIV 进行了广泛研究,但对柔性分支结构的三维(3D)动力学仍未进行调查。在这项数值和实验研究中,我们开发了一种新公式,用于精确计算发生大变形的框架结构的直向和横向 VIV。有限元方法用于对任意复杂几何形状的分支框架结构进行建模。我们的计算方法允许对带有分叉或锐角的复杂几何结构进行建模。框架元素的一致三维啮合公式可计算内力、惯性力和流体动力。尾流-振荡器方法模拟了近尾流动力学,在同向和横向流动方向上对结构产生波动流体力。阻力和升力系数遵循分布式范德波尔振荡器。此外,我们还在开源库 ONSAS 中实现了数值解析程序。通过求解三个示例,包括与分析解、唤醒振荡器和文献中的实验数据进行比较,验证了本公式和数值解析程序。我们还在恒定匀速流下对夹在水隧道内的柔性弹性圆柱体进行了实验。将顶端横向位移的振幅和功率谱密度与模型预测进行了比较。最后,将提出的公式应用于有两个分支的圆柱体。模拟结果表明,当在圆柱体上增加分支时,会产生位移振幅更高的多频响应,这强调了在自然界和工程应用中考虑 VIV 对此类几何形状的重要性。
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来源期刊
Journal of Fluids and Structures
Journal of Fluids and Structures 工程技术-工程:机械
CiteScore
6.90
自引率
8.30%
发文量
173
审稿时长
65 days
期刊介绍: The Journal of Fluids and Structures serves as a focal point and a forum for the exchange of ideas, for the many kinds of specialists and practitioners concerned with fluid–structure interactions and the dynamics of systems related thereto, in any field. One of its aims is to foster the cross–fertilization of ideas, methods and techniques in the various disciplines involved. The journal publishes papers that present original and significant contributions on all aspects of the mechanical interactions between fluids and solids, regardless of scale.
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