A Machine Learning Framework for Physics-Based Multi-Fidelity Modeling and Health Monitoring for a Composite Wing

Gaurav Makkar, Cameron Smith, George Drakoulas, F. Kopsaftopoulos, F. Gandhi
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引用次数: 1

Abstract

Computational mechanics is a useful tool in the structural health monitoring community for accurately predicting the mechanical performance of various components. However, high-fidelity models simulated through the finite element analysis (FEA) necessitate a large amount of computing power. This paper presents a new approach to develop a multi-fidelity model using artificial neural networks for health monitoring purposes. The proposed framework provides significant savings in computational time compared to a model trained only using high-fidelity data, while maintaining an acceptable level of accuracy. The analysis is conducted using two finite element models, of different fidelity, of an unmanned aerial vehicle (UAV) wing, with damage modeled at six locations, and varying severity. The damage is modeled by changing the stiffness properties of the materials at these locations. The algorithm developed aims at minimizing the number of high-fidelity data points for correcting the outputs of the low-fidelity model. It was observed that the low-fidelity model requires 8 high-fidelity data points to meet the desired error tolerance. This corrected low-fidelity model is then used for locating and quantifying the damage given the strains and frequency by expanding the previously trained network to output damage diagnosis results. The model with applied correction is able to locate the damage with an accuracy of ∼ 94% and quantify the damage with an accuracy of 93%. The performance of the corrected low-fidelity model is compared with a network trained only with high-fidelity datasets and it was observed that the corrected model requires 54% fewer data points as compared to the high-fidelity trained network.
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基于物理的复合材料机翼多保真度建模和健康监测的机器学习框架
计算力学是结构健康监测领域的一个有用工具,可以准确预测各种构件的力学性能。然而,通过有限元分析(FEA)模拟高保真模型需要大量的计算能力。本文提出了一种利用人工神经网络建立多保真度健康监测模型的新方法。与仅使用高保真度数据训练的模型相比,所提出的框架在计算时间上节省了大量时间,同时保持了可接受的精度水平。使用两个不同保真度的有限元模型对无人机机翼进行了分析,并在六个位置和不同的严重程度上进行了损伤建模。通过改变这些位置材料的刚度特性来模拟损伤。该算法旨在最大限度地减少高保真数据点的数量,以纠正低保真模型的输出。观察到,低保真模型需要8个高保真数据点才能满足期望的误差容限。然后,通过扩展先前训练的网络以输出损伤诊断结果,该修正的低保真模型用于在给定应变和频率的情况下定位和量化损伤。应用校正后的模型能够以~ 94%的精度定位损伤,并以93%的精度量化损伤。将修正后的低保真度模型的性能与仅使用高保真度数据集训练的网络进行比较,观察到与高保真度训练的网络相比,修正后的模型需要的数据点减少了54%。
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