论文标题
物理受限的神经网络,用于设计和基于功能的编织体系结构的优化
Physics-Constrained Neural Network for Design and Feature-Based Optimization of Weave Architectures
论文作者
论文摘要
编织织物在日常纺织品中起着至关重要的作用,用于服装/运动服,水过滤和挡土墙,在僵硬的复合材料中增援,用于轻巧的结构,例如航空航天,运动,汽车和海洋工业。编织模式和材料选择的几种可能的组合包括编织结构,提出了一个充满挑战的问题,即它们如何影响编织织物和增强结构的物理和机械性能。在本文中,我们提出了一种新型的物理受限的神经网络(PCNN),以预测机械性能,例如编织体系结构的模量和预测设计/目标模量值的模式/材料序列的反问题。逆问题特别具有挑战性,因为通常需要许多迭代才能使用传统优化方法找到适当的体系结构。我们表明,所提出的PCNN可以有效地预测所需模量的编织结构,其精度比考虑的几种基线模型更高。我们提出了一种基于功能的优化策略,可以使用灰度同时矩阵(GLCM)空间中的功能来改善预测。我们将PCNN与此基于功能的优化相结合,以发现近乎最佳的编织体系结构,以促进编织体系结构的初始设计。所提出的框架将主要实现编织的综合分析和优化过程,并成为将知识引导的神经网络引入复杂结构分析的起点。
Woven fabrics play an essential role in everyday textiles for clothing/sportswear, water filtration, and retaining walls, to reinforcements in stiff composites for lightweight structures like aerospace, sporting, automotive, and marine industries. Several possible combinations of weave patterns and material choices, which comprise weave architecture, present a challenging question about how they could influence the physical and mechanical properties of woven fabrics and reinforced structures. In this paper, we present a novel Physics-Constrained Neural Network (PCNN) to predict the mechanical properties like the modulus of weave architectures and the inverse problem of predicting pattern/material sequence for a design/target modulus value. The inverse problem is particularly challenging as it usually requires many iterations to find the appropriate architecture using traditional optimization approaches. We show that the proposed PCNN can effectively predict weave architecture for the desired modulus with higher accuracy than several baseline models considered. We present a feature-based optimization strategy to improve the predictions using features in the Grey Level Co-occurrence Matrix (GLCM) space. We combine PCNN with this feature-based optimization to discover near-optimal weave architectures to facilitate the initial design of weave architecture. The proposed frameworks will primarily enable the woven composite analysis and optimization process, and be a starting point to introduce Knowledge-guided Neural Networks into the complex structural analysis.