基于图学习的桁架结构分析的广义代理模型

Dang Viet Hung, Nguyen Trong Phu
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引用次数: 0

摘要

桁架分析已经得到了研究人员和工程师们的广泛研究,有大量的结构分析软件可以快速、可靠地提供分析结果。然而,这些方法要么需要昂贵的商业软件,要么需要基于结构专业知识和高级编程技能自行开发的内部代码。因此,将该软件整合到其他复杂的应用中,如在线结构分析框架、多目标桁架优化、结构可靠性等,是极具挑战性的。本研究提出了一种新颖高效的基于图论和深度学习算法的桁架分析代理模型,该模型适用于具有不同负载场景的各种桁架拓扑,而无需像其他基于深度学习(DL)的替代品那样进行再训练。桁架连接信息通过邻接矩阵表示,而材料属性、外部载荷和边界条件被认为是节点特征。所提出的方法的性能和效率通过大量未见的二维桁架成功验证,与传统的有限元方法相比,提供了高度相似的结果。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
Towards a generalized surrogate model for truss structure analysis using graph learning
Truss analysis has been well investigated by researchers and engineers with a large number of structural analysis software that can quickly and reliably provide analysis results. However, these methods require either expensive commercial software or self-developed in-house codes based on structural expertise along with advanced programming skills. Thus, incorporating this software into other complex applications, such as an online structural analysis framework, multiple-objectives truss optimization, structural reliability, etc., is highly challenging. This study proposes a novel and efficient surrogate model for performing truss analysis based on graph theory and deep learning algorithms, which is applicable for various truss topologies with different load scenarios without requiring retraining as other Deep Learning (DL)-based counterparts. The truss connectivityinformation is expressed through adjacency matrices, while material properties, external loads, and boundary conditions are considered node features. The performance and efficiency of the proposed methods are successfully validated with numerous unseen 2D trusses, providing highly similar results compared to the conventional finite element method.
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