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Optimal Sensor Placement with a Statistical Criterion for Subspace-Based Damage Detection

机译：利用基于子空间的损伤检测统计标准的最佳传感器放置

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Subspace-based fault detection algorithms have proven to be efficient for the detection of changes in the modal parameters for damage detection of vibrating structures. With these algorithms, a state-space model from the reference condition of a structure is confronted to output-only vibration data from a possibly damaged condition in a chi~2 test on a damage detection residual. The outcome of this test is compared to a threshold to decide if there is damage or not. In this paper, the problem of optimal sensor placement for this damage detection algorithm is considered based on the statistical properties of the chi~2 test. Using a model of the structure, sensor positions are chosen such that the non-centrality parameter of the chi~2 distribution is maximized for a certain set of damages. It is anticipated that this approach would, indirectly, lead to a maximization of the power of the test. The efficiency of the approach is shown in numerical simulations.
机译：基于子空间的故障检测算法已经证明是为了检测振动结构损坏损坏模式的变化的有效。利用这些算法，来自结构的参考条件的状态空间模型面对仅在损坏检测残差上的Chi〜2测试中的可能受损状态的输出振动数据。将该测试的结果与阈值进行比较，以确定是否存在损坏。在本文中，基于CHI〜2测试的统计特性，考虑了这种损伤检测算法的最佳传感器放置问题。使用结构的模型，选择传感器位置，使得Chi〜2分布的非中心参数最大化为一组损坏。预计这种方法将间接地导致测试力的最大化。该方法的效率在数值模拟中示出。

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