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Damage detection in flexible plates through reduced-order modeling and hybrid particle-Kalman filtering

机译:通过降阶建模和混合粒子卡尔曼滤波在柔性板中进行损伤检测

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摘要

Health monitoring of lightweight structures, like thin flexible plates, is of interest in several engineering fields. In this paper, a recursive Bayesian procedure is proposed to monitor the health of such structures through data collected by a network of optimally placed inertial sensors. As a main drawback of standard monitoring procedures is linked to the computational costs, two remedies are jointly considered: first, an order-reduction of the numerical model used to track the structural dynamics, enforced with proper orthogonal decomposition; and, second, an improved particle filter, which features an extended Kalman updating of each evolving particle before the resampling stage. The former remedy can reduce the number of effective degrees-of-freedom of the structural model to a few only (depending on the excitation), whereas the latter one allows to track the evolution of damage and to locate it thanks to an intricate formulation. To assess the effectiveness of the proposed procedure, the case of a plate subject to bending is investigated; it is shown that, when the procedure is appropriately fed by measurements, damage is efficiently and accurately estimated.
机译:轻型结构(如柔性薄板)的健康监控在几个工程领域中受到关注。在本文中,提出了一种递归贝叶斯程序,通过最佳放置的惯性传感器网络收集的数据来监视此类结构的健康状况。由于标准监测程序的主要缺点与计算成本有关,因此共同考虑了两种补救措施:第一,用于跟踪结构动力学的数值模型的降阶,并通过适当的正交分解来实施;第二,一种改进的粒子滤波器,其特征在于在重采样阶段之前对每个正在演化的粒子进行扩展的卡尔曼更新。前一种补救措施可以将结构模型的有效自由度数量减少到几个(取决于激励),而后一种补救措施则可以通过复杂的表述来跟踪损害的演变并对其进行定位。为了评估所提出程序的有效性,研究了一块板弯曲的情况。结果表明,当通过测量适当地执行该程序时,可以有效而准确地估计损坏。

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