论文标题

限制物理信息发射映射的高斯流程

Constraining Gaussian processes for physics-informed acoustic emission mapping

论文作者

Jones, Matthew R, Rogers, Timothy J, Cross, Elizabeth J

论文摘要

在结构中损害的自动定位是在高价值结构的基于预测或条件维护的道路上具有挑战性但至关重要的成分。到达映射的声学发射时间是应对这一挑战的一种有希望的方法,但由于需要在整个结构上收集一组密集的人工声发射测量,从而严重阻碍了这一挑战的方法,从而导致了长期且通常不切实际的数据习得过程。在本文中,我们考虑使用具有物理信息的高斯过程来学习这些地图以减轻此问题。在该方法中,高斯过程被限制在物理领域,以便将与结构的几何条件和边界条件有关的信息直接嵌入学习过程中,从而返回一个模型,以确保任何预测都使边界上的物理上一致的行为满足。训练测量采集时出现的许多方案受到限制,包括培训数据很少,并且对感兴趣结构的覆盖率也有限。使用复杂的板状结构作为实验案例研究,我们表明我们的方法大大减轻了数据收集的负担,在这种情况下,可以看到,边界条件知识的合并显着提高了预测准确性,因为训练观察结果降低,尤其是当训练测量不可用的所有部分中。

The automated localisation of damage in structures is a challenging but critical ingredient in the path towards predictive or condition-based maintenance of high value structures. The use of acoustic emission time of arrival mapping is a promising approach to this challenge, but is severely hindered by the need to collect a dense set of artificial acoustic emission measurements across the structure, resulting in a lengthy and often impractical data acquisition process. In this paper, we consider the use of physics-informed Gaussian processes for learning these maps to alleviate this problem. In the approach, the Gaussian process is constrained to the physical domain such that information relating to the geometry and boundary conditions of the structure are embedded directly into the learning process, returning a model that guarantees that any predictions made satisfy physically-consistent behaviour at the boundary. A number of scenarios that arise when training measurement acquisition is limited, including where training data are sparse, and also of limited coverage over the structure of interest. Using a complex plate-like structure as an experimental case study, we show that our approach significantly reduces the burden of data collection, where it is seen that incorporation of boundary condition knowledge significantly improves predictive accuracy as training observations are reduced, particularly when training measurements are not available across all parts of the structure.

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