Digital Twin Hybrid Modeling for Enhancing Guided Wave Ultrasound Inspection Signals in Welded Rails

IF 1.9 Q2 MATHEMATICS, INTERDISCIPLINARY APPLICATIONS
Dineo A. Ramatlo, D. Wilke, P. Loveday
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引用次数: 1

Abstract

Guided wave ultrasound (GWU) systems have been widely used for monitoring structures such as rails, pipelines, and plates. In railway tracks, the monitoring process involves the complicated propagation of waves over several hundred meters. The propagating waves are multi-modal and interact with discontinuities differently, increasing complexity and leading to different response signals. When the researcher wants to gain insight into the behavior of guided waves, predicting response signals for different combinations of modes becomes necessary. However, the task can become computationally costly when physics-based models are used. Digital twins can enable a practitioner to deal systematically with the complexities of guided wave monitoring in practical or user-specified settings. This paper investigates the use of a hybrid digital model of an operational rail track to predict response signals for varying user-specified settings, specifically, the prediction of response signals for various combinations of modes of propagation in the rail. The digital twin hybrid model employs a physics-based model and a data-driven model. The physics-based model simulates the wave propagation response using techniques developed from the traditional 3D finite element method and the 2D semi-analytical finite element method (FEM). The physics-based model is used to generate virtual experimental signals containing different combinations of modes of propagation. These response signals are used to train the data-driven model based on a variational auto-encoder (VAE). Given an input baseline signal containing only the most dominant mode excited by a transducer, the VAE is trained to predict an inspection signal with increased complexity according to the specified combination of modes. The results show that, once the VAE has been trained, it can be used to predict inspection signals for different combinations of propagating modes, thus replacing the physics-based model, which is computationally costly. In the future, the VAE architecture will be adapted to predict response signals for varying environmental and operational conditions.
焊接轨道导波超声检测信号增强的数字孪生混合建模
导波超声(GWU)系统已被广泛用于监测轨道、管道和板材等结构。在铁路轨道中,监测过程涉及数百米以上的复杂波浪传播。传播的波是多模态的,并且以不同的方式与不连续性相互作用,增加了复杂性并导致不同的响应信号。当研究人员想深入了解导波的行为时,预测不同模式组合的响应信号就变得必要了。然而,当使用基于物理的模型时,该任务可能会变得计算成本高昂。数字双胞胎可以使从业者在实际或用户指定的设置中系统地处理导波监测的复杂性。本文研究了使用运行轨道的混合数字模型来预测不同用户指定设置的响应信号,特别是预测轨道中各种传播模式组合的响应信号。数字孪生混合模型采用了基于物理的模型和数据驱动的模型。基于物理的模型使用从传统的三维有限元方法和二维半解析有限元方法(FEM)发展而来的技术来模拟波浪传播响应。基于物理的模型用于生成包含不同传播模式组合的虚拟实验信号。这些响应信号用于训练基于变分自动编码器(VAE)的数据驱动模型。给定仅包含由换能器激励的最主要模式的输入基线信号,VAE被训练为根据指定的模式组合来预测具有增加的复杂性的检查信号。结果表明,一旦训练了VAE,它就可以用于预测不同传播模式组合的检测信号,从而取代了计算成本高昂的基于物理的模型。未来,VAE架构将适用于预测不同环境和操作条件下的响应信号。
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来源期刊
Mathematical & Computational Applications
Mathematical & Computational Applications MATHEMATICS, INTERDISCIPLINARY APPLICATIONS-
自引率
10.50%
发文量
86
审稿时长
12 weeks
期刊介绍: Mathematical and Computational Applications (MCA) is devoted to original research in the field of engineering, natural sciences or social sciences where mathematical and/or computational techniques are necessary for solving specific problems. The aim of the journal is to provide a medium by which a wide range of experience can be exchanged among researchers from diverse fields such as engineering (electrical, mechanical, civil, industrial, aeronautical, nuclear etc.), natural sciences (physics, mathematics, chemistry, biology etc.) or social sciences (administrative sciences, economics, political sciences etc.). The papers may be theoretical where mathematics is used in a nontrivial way or computational or combination of both. Each paper submitted will be reviewed and only papers of highest quality that contain original ideas and research will be published. Papers containing only experimental techniques and abstract mathematics without any sign of application are discouraged.
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