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Deploying Machine Learning for Radiography of Aerospace Welds 为航空航天焊缝射线照相术部署机器学习技术
IF 2.8 3区 材料科学 Q2 Engineering Pub Date : 2024-01-28 DOI: 10.1007/s10921-023-01041-w

Abstract

Artificial intelligence is providing new possibilities for analysis in the field of industrial radiography. As capabilities evolve, there is the need for knowledge concerning how to deploy these technologies in practice and benefit from the new automatically generated information. In this study, automatic defect recognition based on machine learning was deployed as an aid in industrial radiography of laser welds in an aerospace component, and utilized to produce statistics for improved quality control. A multi-model approach with an added weld segmentation step improved the inference speed and decreased false calls to improve field use. A user interface with visualization options was developed to display the evaluation results. A dataset of 451 radiographs was automatically analysed, yielding 10037 indications with size and location information, providing capability for statistical analysis beyond what is practical to carry out with manual annotation. The distribution of indications was modeled as a product of the probability of detection and an exponentially decreasing underlying flaw distribution, opening the possibility for model reliability assessment and predictive capabilities on weld defects. An analysis of the indications demonstrated the capability to automatically detect both large-scale trends and individual components and welds that were more at risk of failing the inspection. This serves as a step towards smarter utilization of non-destructive evaluation data in manufacturing.

摘要 人工智能为工业射线摄影领域的分析提供了新的可能性。随着能力的发展,需要了解如何在实践中部署这些技术,并从自动生成的新信息中获益。在这项研究中,基于机器学习的自动缺陷识别技术被应用于航空航天部件激光焊接的工业射线照相术中,并用于生成统计数据以改进质量控制。通过添加焊缝分割步骤的多模型方法,提高了推理速度,减少了误报,从而改善了现场使用情况。为显示评估结果,开发了一个具有可视化选项的用户界面。对包含 451 张射线照片的数据集进行了自动分析,得出了 10037 个带有尺寸和位置信息的征兆,为统计分析提供了超越人工标注的实际能力。指示的分布被建模为检测概率与指数递减的基本缺陷分布的乘积,为模型可靠性评估和焊接缺陷预测能力提供了可能性。对迹象进行的分析表明,既能自动检测大规模趋势,也能自动检测更有可能无法通过检测的单个部件和焊缝。这为在制造业中更智能地利用无损评价数据迈出了一步。
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引用次数: 0
Temperature Monitoring of Through-Thickness Temperature Gradients in Thermal Barrier Coatings Using Ultrasonic Guided Waves 利用超声导波监测隔热涂层的厚度温度梯度
IF 2.8 3区 材料科学 Q2 Engineering Pub Date : 2024-01-24 DOI: 10.1007/s10921-023-01038-5
Lawrence Yule, Nicholas Harris, Martyn Hill, Bahareh Zaghari

Ultrasonic guided waves offer a promising method of monitoring the online temperature of plate-like structures in extreme environments, such as aero-engine nozzle guide vanes (NGVs), and can provide the resolution, response rate, and robust operation that is required in aerospace. Previous investigations have shown the potential of such a system but the effect of the complex physical environment on wave propagation is yet to be considered. This article uses a numerical approach to investigate how thermal barrier coatings (TBCs) applied to the surface of many components designed for extreme thermal conditions will affect ultrasonic guided wave propagation, and how a system can be employed to monitor through-thickness temperature changes. The top coat/bond coat boundary in NGVs has been shown to be a temperature critical point that is difficult to monitor with traditional temperature sensors, which highlights the potential of ultrasonic guided waves. Differences in application method and layer thickness are considered, and analysis of through-thickness displacement profiles and dispersion curves are used to predict signal response and determine the most suitable mode of operation. Heat transfer simulations (COMSOL) have been used to predict temperature gradients within a TBC, and dispersion curves have been produced from the temperature dependant material properties. Time dependant simulations of wave propagation are in good agreement with dispersion curve predictions of wave velocity for the two lowest order modes in three thicknesses of TBC top coat (100, 250, and 500 (upmu hbox {m})). When wave velocity measurements from the simulations are compared to dispersion curves generated at isotropic temperatures, the corresponding temperature represents the average temperature of a gradient system well. Such a measurement system could, in principle, be used in conjunction with surface temperature measurement systems to monitor through-thickness temperature changes.

超声波导波为监测极端环境下板状结构(如航空发动机喷嘴导叶)的在线温度提供了一种很有前途的方法,并能提供航空航天所需的分辨率、响应速度和稳健的操作。以往的研究表明了这种系统的潜力,但复杂的物理环境对波传播的影响仍有待考虑。本文采用数值方法研究了应用于极端热条件下的许多部件表面的热障涂层(TBC)将如何影响超声导波传播,以及如何利用系统监测厚度温度变化。事实证明,NGV 的面层/粘合层边界是一个温度临界点,传统的温度传感器很难对其进行监测,这就凸显了超声波导波的潜力。考虑到应用方法和涂层厚度的不同,通过分析厚度位移曲线和分散曲线来预测信号响应并确定最合适的操作模式。传热模拟(COMSOL)用于预测 TBC 内的温度梯度,并根据与温度相关的材料特性生成频散曲线。对于三种厚度的 TBC 表面涂层(100、250 和 500 (upmu hbox {m}))中两种最低阶模式的波速,随时间变化的波传播模拟结果与频散曲线预测结果非常吻合。当把模拟得到的波速测量值与各向同性温度下生成的频散曲线进行比较时,相应的温度能很好地代表梯度系统的平均温度。这样的测量系统原则上可以与表面温度测量系统结合使用,以监测厚度温度的变化。
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引用次数: 0
Ising Model Simulation and Empirical Research of Barkhausen Noise 巴尔豪森噪声的伊辛模型模拟与实证研究
IF 2.8 3区 材料科学 Q2 Engineering Pub Date : 2024-01-24 DOI: 10.1007/s10921-023-01037-6
Cheng Hang, Wenbo Liu, Gerd Dobmann, Yin Wu, Wangcai Chen, Ping Wang

In this paper, Monte Carlo simulations are performed based on the two-dimensional Ising model with the objective of matching the simulated magnetic Barkhausen noise (MBN) signals with the measured MBN signals obtained from empirical research on bearing steel of different hardness levels. Firstly, the methods for obtaining simulated MBN signals based on the Ising model are studied. This paper suggests that simulated MBN signals obtained by applying a digital filter to the simulated magnetization curve, both in the time domain and frequency spectrum, are closer to the actual measured signals. Secondly, the influencing factors of the two-dimensional Ising model are studied, including lattice size (N), temperature (T), neighbor interaction (J), external magnetic field (H(t)), number of simulation points per period ((P_{sim})) and Monte Carlo step (MCS). Furthermore, the simulated MBN signals and their feature diagrams under different temperatures and neighbor interactions are plotted. Finally, a method is proposed to match the simulated MBN signals with the actual measured MBN signals using scaling and shifting, reducing the relative error between the simulated and measured MBN signal features to within 7%. This method makes it possible to generate simulated MBN signals at different hardness levels.

本文基于二维伊辛模型进行了蒙特卡罗模拟,目的是将模拟的磁性巴克豪森噪声(MBN)信号与对不同硬度水平的轴承钢进行实证研究后获得的磁性巴克豪森噪声(MBN)信号进行匹配。首先,研究了基于伊辛模型获得模拟 MBN 信号的方法。本文认为,通过对模拟磁化曲线应用数字滤波器获得的模拟 MBN 信号在时域和频谱上都更接近实际测量信号。其次,研究了二维伊辛模型的影响因素,包括晶格尺寸 (N)、温度 (T)、相邻相互作用 (J)、外磁场 (H(t))、每周期模拟点数 ((P_{sim})) 和蒙特卡罗步长 (MCS)。此外,还绘制了不同温度和相邻相互作用下的模拟 MBN 信号及其特征图。最后,提出了一种利用缩放和移位将模拟 MBN 信号与实际测量的 MBN 信号相匹配的方法,从而将模拟和测量的 MBN 信号特征之间的相对误差减小到 7% 以内。这种方法使生成不同硬度水平的模拟 MBN 信号成为可能。
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引用次数: 0
Statistical Analysis and Automation Through Machine Learning of Resonant Ultrasound Spectroscopy Data from Tests Performed on Complex Additively Manufactured Parts 通过机器学习对复杂的叠加式制造部件进行测试所获得的共振超声波光谱数据进行统计分析和自动化处理
IF 2.8 3区 材料科学 Q2 Engineering Pub Date : 2024-01-24 DOI: 10.1007/s10921-023-01035-8
Anne-Françoise Obaton, Nasim Fallahi, Anis Tanich, Louis-Ferdinand Lafon, Gregory Weaver

Additive manufacturing brings inspection issues for quality assurance of final parts because non-destructive testing methods are faced with shape complexity, size, and high surface roughness. Thus, to drive additive manufacturing forward, advanced non-destructive testing methods are required. Methods based on resonant ultrasound spectroscopy (RUS) can take on all the challenges that come with additive manufacturing. Indeed, these full body inspection methods are adapted to shape complexity, to nearly any size, and to high degrees of surface roughness. Furthermore, they are easy to implement, fast and low cost. In this paper, we present the benefit of a resonant ultrasound spectroscopy method, combined with a statistical analysis through Z score implementation, to classify supposedly identical parts, from a batch comprised of several individual builds. We also demonstrate that the inspection can be further accelerated and automated, to make the analysis operator independent, whether the analysis of the resonant ultrasound spectroscopy data is performed supervised or unsupervised with machine learning algorithms.

增材制造给最终零件的质量保证带来了检测问题,因为非破坏性检测方法要面对形状复杂、尺寸大和表面粗糙度高的问题。因此,要推动增材制造向前发展,就需要先进的无损检测方法。基于共振超声波谱(RUS)的方法可以应对增材制造带来的所有挑战。事实上,这些全身检测方法可适应形状复杂性、几乎任何尺寸和高度表面粗糙度。此外,它们易于实施、速度快、成本低。在本文中,我们介绍了共振超声波光谱方法的优点,该方法结合了通过 Z 分数实施的统计分析,可对由多个单个构建组成的批次中假定相同的部件进行分类。我们还证明,无论是使用机器学习算法对共振超声波谱数据进行监督式分析还是非监督式分析,都可以进一步加快检测速度并实现自动化,从而使分析不受操作人员的影响。
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引用次数: 0
Simulation-Trained Neural Networks for Automatable Crack Detection in Magnetic Field Images 模拟训练神经网络用于磁场图像中的裂纹自动检测
IF 2.8 3区 材料科学 Q2 Engineering Pub Date : 2024-01-05 DOI: 10.1007/s10921-023-01034-9
Tino Band, Benedikt Karrasch, Markus Patzold, Chia-Mei Lin, Ralph Gottschalg, Kai Kaufmann

Magnetic field measurements play a vital role in various industries, particularly in the detection of cracks using magnetic field images, also known as magnetic field leakage testing. This paper presents an approach to automate the extraction of crack signals in magnetic field imaging by using neural networks. The proposed method relies on simulation-based training using the lightweight Python library Magpylib to calculate the three-dimensional static magnetic field of permanent magnets with surface defects. This approach has numerous advantages. It allows control of training data set variance by tuning simulation input parameters such as sample magnetization, measurement parameters, and defect properties to cover a wide range of cracks in size and position. Starting data acquisition before system operation allows investigating potential changes in sample shape or measurement parameters. Importantly, simulation-based data generation eliminates the need for physical measurements, leading to significant time savings. The study presents and discusses results obtained on two different ferromagnetic samples with surface cracks, a hollow cylinder and a steel sheet.

磁场测量在各行各业都发挥着重要作用,特别是在利用磁场图像检测裂纹方面,也称为磁场泄漏测试。本文介绍了一种利用神经网络自动提取磁场成像中裂纹信号的方法。所提出的方法依赖于使用轻量级 Python 库 Magpylib 进行基于模拟的训练,以计算存在表面缺陷的永磁体的三维静态磁场。这种方法有许多优点。它可以通过调整仿真输入参数(如样品磁化、测量参数和缺陷属性)来控制训练数据集的差异,从而覆盖裂纹大小和位置的广泛范围。在系统运行前开始数据采集,可以研究样品形状或测量参数的潜在变化。重要的是,基于模拟的数据生成无需进行物理测量,从而大大节省了时间。本研究介绍并讨论了在带有表面裂纹的两种不同铁磁样品(空心圆柱体和钢板)上获得的结果。
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引用次数: 0
3D Remote Assistance for NDT Inspections 无损检测的 3D 远程协助
IF 2.8 3区 材料科学 Q2 Engineering Pub Date : 2023-12-22 DOI: 10.1007/s10921-023-01020-1
Jörg Rehbein, Sebastian-Johannes Lorenz, Jens Holtmannspötter, Bernd Valeske

In this work, we present a system architecture that is especially designed for remote ultrasound testing inspections (UT). The system itself is realized using a real-time session service and a web service based on a REST API (REST: Representational State Transfer; API: application programming interface). This web service is used to store data persistently, e.g., sample geometries, raw nondestructive testing (NDT) data and derived inspection results in a shared dataspace. In the current development state, the results consist of textures mapped onto the sample geometry. This approach allows us to display the UT results directly on the real sample using mixed reality technologies. We also implemented a feature to assist the inspector remotely by making use of the availability of this digital representation. Hence, it is necessary to share additional data like the current UT-signal, temporary position marks, user and device positions, etc. between the different participants. A real-time distribution of this highly dynamic data is required to create an effective assistance environment. Therefore, a separate session service is used. The inspection data generated in this temporary session can also be transferred to the afore mentioned dataspace to be saved persistently. The system features mixed reality visualization for the inspector and optionally a virtual reality or a 3D Desktop environment for one or more remote assistants.

在这项工作中,我们提出了一种专为远程超声检测(UT)设计的系统架构。系统本身是通过实时会话服务和基于 REST API 的网络服务实现的(REST:Representational State Transfer;API:Application Programming Interface):REST:Representational State Transfer;API:Application Programming Interface)。该网络服务用于在共享数据空间中持久存储数据,如样品几何形状、原始无损检测(NDT)数据和衍生检测结果。在当前的开发阶段,检测结果由映射到样品几何图形上的纹理组成。通过这种方法,我们可以使用混合现实技术在真实样品上直接显示 UT 结果。我们还实施了一项功能,利用这一数字表示的可用性远程协助检测人员。因此,有必要在不同参与者之间共享其他数据,如当前的 UT 信号、临时位置标记、用户和设备位置等。要创建有效的辅助环境,就必须实时分发这些高度动态的数据。因此,需要使用单独的会话服务。在该临时会话中生成的检测数据也可以传输到上述数据空间中进行持久保存。该系统的特点是为检查员提供混合现实可视化,并为一个或多个远程助手提供虚拟现实或 3D 桌面环境。
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引用次数: 0
Experimental Investigation of Bonding Quality for CFRP Bonded Structures with Thick Adhesive Layers Based on Ultrasonic Transmission Coefficient Spectrums 基于超声波传输系数频谱的厚粘合层 CFRP 粘合结构粘合质量实验研究
IF 2.8 3区 材料科学 Q2 Engineering Pub Date : 2023-12-21 DOI: 10.1007/s10921-023-01029-6
Yongkun Li, Yan Lyu, Bin Wu, Jie Gao, Zeqi Bian, Cunfu He

The experimental study of ultrasonic transmission coefficient measurement method was carried out for the problem of bonding quality inspection of bonded structures of composites with thick adhesive layer. For the uniaxial CFRP bonded specimens, the ultrasonic waves’ phase velocity distribution and the ultrasonic transmission coefficient spectrums were measured by the water-immersion ultrasonic transmission method. Then their complex elastic constants were inversed by the particle swarm optimization algorithm based on simulated annealing. Based on this, CFRP bonded specimens in perfect bonding status and having single weak bonding interface, dual weak bonding interfaces were manufactured. Then the ultrasonic transmission coefficient spectrums were measured, and the distinction of bonding quality between different bonding specimens was predicted. At the same time, according to the shift characteristics of the measured ultrasonic transmission coefficient spectra, the influence of the symmetry of the CFRP bonded structures with thick adhesive layers on the ultrasonic transmission coefficient spectrums was investigated experimentally. In addition, by comparing the time-domain and coefficient spectra characteristics of transmitted waves, the advantage of using the coefficient spectrum measurement method in bonding quality detection was expounded.

针对厚胶层复合材料粘接结构的粘接质量检测问题,开展了超声波透射系数测量方法的实验研究。对于单轴 CFRP 粘合试样,采用水浸超声波透射法测量了超声波的相位速度分布和超声波透射系数谱。然后利用基于模拟退火的粒子群优化算法对其复合弹性常数进行反演。在此基础上,制作了完全粘接状态、单弱粘接界面、双弱粘接界面的 CFRP 粘合试样。然后测量超声波透射系数谱,预测不同粘接试样之间的粘接质量区别。同时,根据测量到的超声波透射系数谱的偏移特征,实验研究了厚粘合层 CFRP 粘合结构的对称性对超声波透射系数谱的影响。此外,通过比较透射波的时域特征和系数谱特征,阐述了在粘接质量检测中使用系数谱测量方法的优势。
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引用次数: 0
Enhancement of Track Damage Identification by Data Fusion of Vibration-Based Image Representation 通过基于振动图像表示的数据融合增强轨道损伤识别能力
IF 2.8 3区 材料科学 Q2 Engineering Pub Date : 2023-12-19 DOI: 10.1007/s10921-023-01028-7
Shaohua Wang, Lihua Tang, Yinling Dou, Zhaoyu Li, Kean C. Aw

In this paper, the vibration-based image representation and data fusion demonstrates distinctive benefit in feature extraction, yielding superior performance for damage identification in railway engineering. Specifically, based on vehicle-track coupled dynamics, the rail vibration datasets under diverse fastener damage conditions are generated. By converting 1-D vibration signals into 2-D grayscale images with recurrence plots (RPs) and the aid of conditional variational autoencoder (CVAE), the acceleration RPs and displacement RPs are fused for enhancing feature extraction. It is demonstrated that detecting the variation in texture patterns and color distribution of the vibration-based images facilitates effective damage identification, mitigating the sensitivity of damage recognition to the deterioration of track irregularity. The results show that the displacement RPs characterised by quasi-static features are more suitable for fastener damage identification. Further, by employing the data fusion that combines both the random dynamic features of the acceleration RPs and quasi-static features of the displacement RPs, the tolerance of measurement range for accurate fastener damage identification can be extended. The robustness of the proposed method is validated after testing different sampling frequencies and additional noise.

摘要 本文介绍了基于振动的图像表示和数据融合在特征提取方面的独特优势,为铁路工程中的损伤识别提供了卓越的性能。具体来说,基于车辆-轨道耦合动力学,生成了不同紧固件损伤条件下的轨道振动数据集。在条件变异自动编码器(CVAE)的帮助下,通过将一维振动信号转换为带有递归图(RPs)的二维灰度图像,将加速度 RPs 和位移 RPs 融合以增强特征提取。结果表明,检测基于振动图像的纹理模式和颜色分布的变化有助于有效识别损坏,降低损坏识别对轨道不规则性恶化的敏感性。结果表明,具有准静态特征的位移 RPs 更适用于紧固件损坏识别。此外,通过结合加速度 RPs 的随机动态特征和位移 RPs 的准静态特征进行数据融合,可以扩大测量范围的容差,从而准确识别紧固件损坏。在测试了不同的采样频率和附加噪声后,验证了所提出方法的鲁棒性。
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引用次数: 0
Developing a DSS for Enhancing Weldment Defect Detection, Classification, and Remediation Using HDR Images and Adaptive MDCBNet Neural Network 利用 HDR 图像和自适应 MDCBNet 神经网络开发用于加强焊接缺陷检测、分类和修复的 DSS
IF 2.8 3区 材料科学 Q2 Engineering Pub Date : 2023-12-19 DOI: 10.1007/s10921-023-01027-8
Satish Sonwane, Shital Chiddarwar

This study presents a Decision Support System (DSS) designed for Non-Destructive Online Evaluation in welding. Based on the Multi-Scale Dense Cross Block Network (MDCBNet), it is able to detect, classify, and recommend remedial actions to prevent surface defects in welding. The performance of the network architecture is enhanced with synthetic defect samples generated through image augmentation techniques. By employing gradient attribution and t-SNE plot methods, we gained insights into the network’s predictions and comprehensively analyzed decision-making process. Comparative evaluations against pre-trained deep learning techniques revealed that our proposed model exhibits significant improvements, ranging from 2 to 10% across various performance metrics. Extensive comparisons with state-of-the-art methods underscored the effectiveness of our approach in detecting and classifying weld defects. Notably, our network, initially trained on Gas Tungsten Arc Welding images, demonstrated remarkable adaptability and versatility by effectively classifying images from Gas Metal Arc Welding processes. These findings emphasize the potential of the MDCBNet-based DSS to enhance welding practices, thereby contributing to producing high-quality weldments. The successful implementation of our DSS recommendations further supports its capacity to optimize the welding process and facilitate improved weld quality.

本研究介绍了一种为焊接无损在线评估而设计的决策支持系统(DSS)。该系统以多尺度密集交叉块网络(MDCBNet)为基础,能够对焊接表面缺陷进行检测、分类和建议补救措施。通过图像增强技术生成的合成缺陷样本增强了网络架构的性能。通过梯度归因和 t-SNE 绘图方法,我们深入了解了网络的预测结果,并全面分析了决策过程。通过与预先训练的深度学习技术进行比较评估,我们发现我们提出的模型在各种性能指标上都有显著提高,提高幅度从 2% 到 10% 不等。与最先进的方法进行的广泛比较突出表明了我们的方法在检测和分类焊接缺陷方面的有效性。值得注意的是,我们的网络最初是在气体钨极氩弧焊图像上进行训练的,但通过对气体金属弧焊工艺的图像进行有效分类,我们的网络表现出了显著的适应性和多功能性。这些发现强调了基于 MDCBNet 的 DSS 在改进焊接实践方面的潜力,从而有助于生产出高质量的焊接件。我们的 DSS 建议的成功实施进一步支持了其优化焊接过程和提高焊接质量的能力。
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引用次数: 0
Scattering Analysis of Glaze Ice Accretion on CFRP Laminated Composite Plate Structures Using Ultrasonic Lamb Waves: Towards Aviation Safety 使用超声波λ波对 CFRP 层压复合板结构上的釉冰沉积进行散射分析:实现航空安全
IF 2.8 3区 材料科学 Q2 Engineering Pub Date : 2023-12-16 DOI: 10.1007/s10921-023-01030-z
Saurabh Gupta, Siddesh Sutrave

The ice formation over the aerofoil structure of the aircraft wing has been an obstruction as they abrupt the airflow, acting as drag. The investigation will intend to determine ice accumulation on carbon fiber-reinforced polymer (CFRP), approximated as ice build-up on aircraft wings. The observation is carried out over quasi-isotropic composite laminates using ultrasonic-guided waves with a central working frequency regime of 100 kHz. The three-dimensional (3D) finite element (FE) simulations are performed to observe the scattering effect to explore the reflection site in the far field. This effect was quite prominent for different thicknesses of Glaze ice (G-Ice) and was found to be strongly linked with the wave propagation and dispersion effect. The scattering results for the reflection of Lamb mode, when it interacted with the G-Ice interface, were quite noteworthy along the angular region rather than on the center line, indicating that the scattering was more prominent due to the presence of a 45° or (− 45)-degree fiber orientation in that laminate. A similar but complex scattering phenomenon was observed for different stacking sequences where the wave propagation angle and its amplitude at the receiver nodes are found to be closely bound with the exponential decay in group/phase velocity for the ice thicknesses studied. The FE approach is verified, and the results are validated analytically. Analytically, we have investigated a much-closed approximation with the detectability obtained from three-dimensional studies. Where the dispersion study performed has also contributed to verifying the present investigation in the long wavelength limits. This study can reveal the various optimized locations for placing the sensor for ice detection and quantification, which can be further helpful for practical guided wave inspection in ice detection and its removal.

在飞机机翼的翼型结构上形成的冰是一种阻碍,因为它们使气流突然流动,起到了阻力的作用。此次调查旨在确定碳纤维增强聚合物(CFRP)上的冰积聚,类似于飞机机翼上的冰积聚。使用中心工作频率为100 kHz的超声引导波对准各向同性复合材料层压板进行了观察。通过三维有限元模拟来观察散射效应,探索远场反射部位。这种效应在不同厚度的釉冰(G-Ice)中表现得非常突出,并且与波的传播和色散效应密切相关。Lamb模式反射与G-Ice界面相互作用时,沿角度区域的散射结果比中心线的散射结果更明显,这表明由于该层板中存在45°或(- 45)度的纤维取向,散射更为突出。在不同的叠加顺序下,观测到类似但复杂的散射现象,发现波在接收节点的传播角及其振幅与所研究的冰厚度的群/相速度的指数衰减密切相关。对有限元方法进行了验证,并对分析结果进行了验证。在分析上,我们研究了从三维研究中获得的可探测性的非常接近的近似。其中所进行的色散研究也有助于验证目前在长波长范围内的研究。研究结果揭示了导波传感器在冰探测和量化中的各种最佳位置,为导波探测和消冰提供了理论依据。
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引用次数: 0
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Journal of Nondestructive Evaluation
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