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Uncertainty quantification in experimental frequency based substructuring

机译：基于实验频率的子结构的不确定性量化

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摘要

Numerical conditioning of the subsystems' interface flexibility matrix is an important issue in experimental frequency based substructuring (FBS) methods. As this matrix needs to be inverted, it is believed that ill numerical conditioning could severely magnify even small random errors in experimentally obtained subsystems, yielding erroneous FRFs of the coupled system. In this paper a method is introduced with which the uncertainty of the coupled system's FRFs can be quantified based on the uncertainties of the subsystem FRFs. This uncertainty propagation method is based on the statistical moment method and uses the measured (time) data of the subsystems as input. The method will be applied to a numerical example, where it is shown that the uncertainty on substructure FRFs can significantly influence the accuracy of the coupled system. Furthermore, the application shows that the method introduced is computationally efficient and highlights some interesting phenomena that can be encountered in experimental dynamic substructuring.
机译：子系统接口灵活性矩阵的数值条件是基于实验频率的子结构（FBS）方法中的重要问题。由于该矩阵需要求逆，因此认为不良的数值条件可能会严重放大实验获得的子系统中的很小的随机误差，从而产生耦合系统的错误FRF。本文介绍了一种基于子系统FRF不确定性可以量化耦合系统FRF不确定性的方法。这种不确定性传播方法基于统计矩方法，并使用子系统的测量（时间）数据作为输入。该方法将应用于数值示例，其中表明子结构FRF的不确定性会显着影响耦合系统的精度。此外，该应用表明，所介绍的方法在计算上是有效的，并突出了在实验动态子结构中可能遇到的一些有趣现象。

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