Definition of a beam-like reduced order model element by means of a mixed dimensional coupling

IF 4.4 2区 工程技术 Q1 COMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONS
Francesc Turon , Fermin Otero , Alex Ferrer , Xavier Martinez
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引用次数: 0

Abstract

The use of Reduced Dimensional Models (RDM) discretized like beams, plates and shell elements drastically decreases the computational cost of solving a full 3D elastic problem with a Finite Element Method (FEM). However, its kinematic assumptions are only applicable to bodies with regular sections or continuous layouts. For the correct analysis of irregular regions, it is necessary to rely on bi-dimensional or solid models that fully reproduce the geometry of the body and its behavior but have a much higher computational cost. The Mixing Dimensional Coupling (MDC) technique allows linking models discretized with elements of different topologies, allowing the possibility of considering the most cost-effective model in each region. This coupling takes place at the interface that delimits both models and relies on the equilibrium of work and reactions on its two faces. In this paper, the formulation is presented for coupling beams with laminar sections and 2D Plane-Stress (PS) models demonstrating its proper behavior. Finally, this coupling is used for defining a new beam element, the Beam-Like Reduced Order Model (BLROM), which is obtained from a Plane-Stress model of their longitudinal section.

通过混合维耦合定义梁状减阶模型元素
使用梁、板和壳元素等离散化的降维模型(RDM),可大幅降低用有限元法(FEM)求解全三维弹性问题的计算成本。然而,其运动学假设仅适用于具有规则截面或连续布局的物体。要正确分析不规则区域,必须依靠二维或实体模型,它们能完全再现物体的几何形状及其行为,但计算成本要高得多。混合维度耦合(MDC)技术可以将使用不同拓扑结构元素离散化的模型连接起来,从而可以在每个区域考虑成本效益最高的模型。这种耦合发生在划分两个模型的界面上,并依赖于两个界面上功和反应的平衡。本文介绍了层状截面梁和二维平面应力(PS)模型的耦合公式,并演示了其正确的行为。最后,这种耦合用于定义一种新的梁元素--类梁降阶模型(BLROM),该模型由其纵截面的平面应力模型获得。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
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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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