用比例边界有限元法分析充液容器中的流固耦合

IF 4.4 2区 工程技术 Q1 COMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONS
Wenbin Ye , Jun Liu , Lei Gan , Haibo Wang , Lei Qin , Quansheng Zang , Stéphane P.A. Bordas
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引用次数: 0

摘要

本研究首次基于比例边界有限元法(SBFEM)建立了一个半解析模型,用于研究液体在受到水平外部激励的弹性矩形容器中发生荡动时的流固耦合特性。假设容器内的液体是不可压缩、不粘性和非旋转的,流体动力压力被选为控制方程中的独立节点变量。容器壁被视为悬臂梁。流固耦合系统最初分为结构域和流体域,然后使用 SBFEM 求出每个子域的控制方程。在 SBFEM 框架下,只需要对每个子域的边界而不是整个计算域进行网格划分和离散化。这种方法将问题的空间维度减少了一个,为计算域建模提供了一种高效的方法,同时还能为域内部导出分析公式,从而准确描述场变量。然后,通过执行平衡条件和兼容性条件,组装出整个流固耦合系统的基本方程,以确保容器壁和液体界面上相互作用力的平衡。利用广义特征值问题求解流固耦合系统的自由振动分析,并结合纽马克方法的隐含-隐含方案,使用同步求解算法确定瞬态动态响应。为了验证所提公式的卓越精确性和稳定性,我们给出了几个数值示例来研究流固耦合问题的自由振动和瞬态动态特性。所获得的结果与文献中的参考解具有良好的一致性。此外,还研究并讨论了几何参数和材料参数对系统响应的影响。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
Fluid-structure coupling analysis in liquid-filled containers using scaled boundary finite element method

In this study, a semi-analytical model is developed to investigate the fluid-structure coupling characteristics of liquid sloshing in an elastic rectangular container subjected to horizontal external excitation based on the scaled boundary finite element method (SBFEM) for the first time. The fluid inside the container is assumed to be incompressible, inviscid and irrotational, with the hydrodynamic pressure chosen as independent nodal variable in the governing equations. The container walls are considered as cantilever beams. The coupled fluid-structure system is initially divided into the structural domain and fluid domain, after which the SBFEM is employed to obtain the governing equations for each sub-domain. In the framework of the SBFEM, only the boundary of each sub-domain, rather than the entire computational domain, needs to be meshed and discretized. This method reduces the spatial dimension of the problem by one and offers an efficient approach to model the computational domain, while allowing for analytical formulations to be derived for the internal of the domain, resulting in an accurate description of the field variables. The fundamental equation of the entire coupled fluid-structure system is then assembled by performing the equilibrium condition and compatibility condition to ensure the balance of interaction forces at the interface between container walls and the liquid. The free vibrations analysis of the fluid-structure coupling system is solved by utilizing the generalized eigenvalue problem, and the transient dynamic response is determined using the synchronous solution algorithm in conjunction with the implicit-implicit scheme of the Newmark method. To validate the excellent accuracy and stability of the proposed formulation, several numerical examples are presented to investigate the free vibration and transient dynamic characteristics for the fluid-structure coupling problem. The obtained results show good agreement with reference solutions available in the literature. Additionally, the effects of geometrical and material parameters on the system responses are examined and discussed.

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来源期刊
Computers & Structures
Computers & Structures 工程技术-工程:土木
CiteScore
8.80
自引率
6.40%
发文量
122
审稿时长
33 days
期刊介绍: Computers & Structures publishes advances in the development and use of computational methods for the solution of problems in engineering and the sciences. The range of appropriate contributions is wide, and includes papers on establishing appropriate mathematical models and their numerical solution in all areas of mechanics. The journal also includes articles that present a substantial review of a field in the topics of the journal.
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