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Damage localization in composite plates using canonical polyadic decomposition of Lamb wave difference signals tensor

机译：用Lamb波差信号张量的规范多原子分解对复合材料板的损伤定位。

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Monitoring in real-time and autonomously the health state of aeronautic structures is referred to as Structural Health Monitoring (SHM) and is a process decomposed in four steps: damage detection, localization, classification, and quantification. Structures under study are here composite structures representative of aeronautic applications and the focus is put on the localization step of the SHM process. The fact that SHM data are naturally three-way tensors is here investigated for this purpose. It is demonstrated that under classical assumptions regarding wave propagation, the canonical polyadic decomposition of rank 2 of the tensor built from the phase of the difference signals between a healthy and damaged states provides direct access to the distances between the piezoelectric elements and the damage. This property is used here to propose an original and robust tensor-based damage localization algorithm. This algorithm is successfully validated on experimental data coming from composite plates with mounted piezoelectric elements and compared with a classical localization algorithm based on triangulation.
机译：实时和自主地监视航空结构的健康状态称为结构健康监视（SHM），该过程分为四个步骤：损坏检测，定位，分类和量化。在此研究中的结构是代表航空应用的复合结构，重点放在SHM过程的本地化步骤上。为此，这里研究了SHM数据自然是三张量的事实。证明了在关于波传播的经典假设下，由健康状态和损坏状态之间的差异信号的相位建立的张量的秩2的规范多态分解提供了对压电元件与损坏之间距离的直接访问。此属性在此处用于提出一种原始且鲁棒的基于张量的损伤定位算法。该算法已在来自安装有压电元件的复合板的实验数据上成功验证，并与基于三角剖分的经典定位算法进行了比较。

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