Abstract
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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Acknowledgement
The author would like to thank Prof. Ciro Visone of the Università di Napoli Federico II, Napoli, Italy and Dr. Carmine Stefano Clemente and Prof. Daniele Davino of the Università degli Studi del Sannio, Benevento, Italy, for insights on the properties of magnetorestrictive materials and further fruitful discussion as well as for providing the experimental data investigated in this paper. The author would also like to thank Prof. Claudia Schillings, Freie Universität Berlin, Berlin, Germany, Prof. Tim Sullivan, University of Warwick, Coventry, United Kingdom, and Dr. Paul-Remo Wagner, ETH Zurich, Switzerland for fruitful discussions concerning UQ. Moreover, the author would like to thank Prof. Pavel Krejčí, Czech Technical University, Prague, Czech Republic for fruitful discussions concerning hysteresis and the referee for fruitful remarks.
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Klein, O. On forward and inverse uncertainty quantification for a model for a magneto mechanical device involving a hysteresis operator. Appl Math 68, 795–828 (2023). https://doi.org/10.21136/AM.2023.0080-23
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DOI: https://doi.org/10.21136/AM.2023.0080-23