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Optimal sensor placement through Bayesian experimental design: effect of measurement error and number of sensors

机译:通过贝叶斯实验设计优化传感器放置:测量误差和传感器数量的影响

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摘要

Sensors networks for the health monitoring of structural systems ought to be designed toudrender both accurate estimations of the relevant mechanical parameters and an affordableudexperimental setup. Therefore, the number, type and location of the sensors have to be chosen soudthat the uncertainties related to the estimated health are minimized. Several deterministic methodsudbased on the sensitivity of measures with respect to the parameters to be tuned are widely used.udDespite their low computational cost, these methods do not take into account the uncertaintiesudrelated to the measurement process. In former studies, a method based on the maximization of theudinformation associated with the available measurements has been proposed and the use ofudapproximate solutions has been extensively discussed. Here we propose a robust numericaludprocedure to solve the optimization problem: in order to reduce the computational cost of theudoverall procedure, Polynomial Chaos Expansion and a stochastic optimization method areudemployed. The method is applied to a flexible plate. First of all, we investigate how the informationudchanges with the number of sensors; then we analyze the effect of choosing different types of sensorsud(with their relevant accuracy) on the information provided by the structural health monitoringudsystem.
机译:用于结构系统健康监测的传感器网络应设计为既不提供对相关机械参数的准确估计,又要提供负担得起的实验设置。因此,必须选择传感器的数量,类型和位置,以使与估计的健康状况有关的不确定性最小。广泛使用了几种基于测量相对于要调整的参数的敏感性的确定性方法。 ud尽管其计算成本较低,但它们并未考虑与测量过程相关的不确定性。在以前的研究中,已经提出了一种基于与可用测量相关联的最大化信息的方法,并且已经广泛讨论了近似解决方案的使用。在这里,我们提出了一个鲁棒的数值方法来解决优化问题:为了降低总体过程的计算成本,采用了多项式混沌展开和随机优化方法。该方法被应用于柔性板。首先,我们研究信息随传感器数量的变化。然后我们分析了选择不同类型的传感器 ud(及其相关精度)对结构健康监测 udsystem提供的信息的影响。

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