含磁滞算子的磁机械装置模型的正、逆不确定性量化

Pub Date : 2023-10-12 DOI:10.21136/AM.2023.0080-23

Olaf Klein

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引用次数: 0

摘要

建模现实世界的对象和过程，可能必须处理迟滞效应，但也有不确定性。继D. Davino, P. Krejčí和C. Visone(2013)之后，这里考虑了一个涉及广义Prandtl-Islilinskiĭ-operator的磁致伸缩材料模型。利用测量结果确定模型中的一些参数，并使用逆不确定性量化(UQ)来确定描述剩余参数及其不确定性的随机密度。然后，结果用于执行前向UQ，并将生成的输出与测量数据进行比较。这延伸了O. Klein、D. Davino和C. Visone(2020)的一些结果。

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On forward and inverse uncertainty quantification for a model for a magneto mechanical device involving a hysteresis operator

Modeling real world objects and processes one may have to deal with hysteresis effects but also with uncertainties. Following D. Davino, P. Krejčí, and C. Visone (2013), a model for a magnetostrictive material involving a generalized Prandtl-Islilinskiĭ-operator is considered here.

Using results of measurements, some parameters in the model are determined and inverse Uncertainty Quantification (UQ) is used to determine random densities to describe the remaining parameters and their uncertainties. Afterwards, the results are used to perform forward UQ and to compare the generated outputs with measured data. This extends some of the results from O. Klein, D. Davino, and C. Visone (2020).

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