On forward and inverse uncertainty quantification for models involving hysteresis operators

Olaf Klein¹ ; Daniele Davino² ; Ciro Visone³

¹ Weierstrass Institute (WIAS), Mohrenstr. 39, 10117 Berlin, Germany.
² Università degli Studi del Sannio, P.zza Roma, 21 - 82100 Benevento, Italy.
³ Università di Napoli Federico II, Via Claudio, 21- 80125 Napoli, Italy.

Mathematical modelling of natural phenomena, Tome 15 (2020), article no. 53

Résumé

Parameters within hysteresis operators modeling real world objects have to be identified from measurements and are therefore subject to corresponding errors. To investigate the influence of these errors, the methods of Uncertainty Quantification (UQ) are applied. Results of forward UQ for a play operator with a stochastic yield limit are presented. Moreover, inverse UQ is performed to identify the parameters in the weight function in a Prandtl-Ishlinskiĭ operator and the uncertainties of these parameters.

Détail

DOI : 10.1051/mmnp/2020009

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