Problems with uncertain hysteresis operators and homogenization

2021 ◽  
Author(s):  
Jan Franců
Keyword(s):  
Hysteresis Operators

scholarly journals On forward and inverse uncertainty quantification for models involving hysteresis operators

2020 ◽  
Vol 15 ◽  
pp. 53
Author(s):  
Olaf Klein ◽  
Daniele Davino ◽  
Ciro Visone
Keyword(s):  
Weight Function ◽  
Uncertainty Quantification ◽  
Real World ◽  
Yield Limit ◽  
Play Operator ◽  
Stochastic Yield ◽  
Hysteresis Operators

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.

Investigating Some Spectral Properties of Two-Dimensional Hysteresis Play-Functionals

2001 ◽  
Vol 08 (04) ◽  
pp. 303-313
Author(s):  
Andreas Ruffing
Keyword(s):  
Nonlinear Analysis ◽  
Spectral Properties ◽  
Point Spectrum ◽  
Lipschitz Constant ◽  
Two Dimensional ◽  
Hysteresis Operators ◽  
Building Elements

Spectral properties of two-dimensional generating functionals are considered. They are associated with scalar hysteresis operators. These operators occur as building elements for models of hysteresis within nonlinear analysis. We calculate eigenvalues of the hysteresis play-functionals and investigate the structure of the corresponding eigenvectors. It turns out that the point spectrum reflects the regularizing property that hysteresis play-operators exhibit in general: Their only possible eigenvalues are attained in the interval [0,1), thus reflecting the Lipschitz constant less than 1 for the play-operators.

scholarly journals Hysteresis operators in metric spaces

2015 ◽  
Vol 8 (4) ◽  
pp. 773-792 ◽  
Author(s):  
Vincenzo Recupero ◽  
Keyword(s):  
Metric Spaces ◽  
Hysteresis Operators
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