Parameter Analysis of the Differential Model of Hysteresis

2004 ◽  
Vol 71 (3) ◽  
pp. 342-349 ◽  
Author(s):  
F. Ma ◽  
H. Zhang ◽  
A. Bockstedte ◽  
G. C. Foliente ◽  
P. Paevere

The extended Bouc-Wen differential model is one of the most widely accepted phenomenological models of hysteresis in mechanics. It is routinely used in the characterization of nonlinear damping and in system identification. In this paper, the differential model of hysteresis is carefully reexamined and two significant issues are uncovered. First, it is shown that the unspecified parameters of the model are functionally redundant. One of the parameters can be eliminated through suitable transformations in the parameter space. Second, local and global sensitivity analyses are conducted to assess the relative sensitivity of each model parameter. Through extensive Monte Carlo simulations, it is found that some parameters of the hysteretic model are rather insensitive. If the values of these insensitive parameters are fixed, a greatly simplified model is obtained.

Author(s):  
F. Ma ◽  
C. H. Ng ◽  
H. Zhang ◽  
A. Bockstedte ◽  
G. C. Foliente ◽  
...  

The extended Bouc-Wen differential model is one of the most widely accepted phenomenological models of hysteresis in mechanics. It is routinely used in the characterization of nonlinear damping and in system identification. In this paper, the differential model of hysteresis is carefully re-examined and two significant issues are uncovered. First, it is found that the unspecified parameters of the model are functionally redundant. One of the parameters can be eliminated through suitable transformations in the parameter space. Second, local and global sensitivity analyses are conducted to assess the relative sensitivity of each model parameter. Through extensive Monte Carlo simulations, it is found that some parameters of the hysteretic model are rather insensitive. If the values of these insensitive parameters are fixed, a greatly simplified model is obtained.


Author(s):  
F. Ma ◽  
A. Imam

The extended Bouc-Wen differential model is one of the most widely accepted phenomenological models of hysteresis in random vibration. It is routinely used in the characterization of nonlinear damping and in system identification. In this paper, the differential model of hysteresis is carefully re-examined and two significant issues are uncovered. First, it is found that the unspecified parameters of the model are functionally redundant. One of the parameters can be eliminated through suitable transformations in the parameter space. Second, local and global sensitivity analyses are conducted to assess the relative sensitivity of each model parameter. Through extensive Monte Carlo simulations, it is found that some parameters of the hysteretic model are rather insensitive. If the values of these insensitive parameters are fixed, a greatly simplified model is obtained.


Author(s):  
Haochuan Zhang ◽  
Fai Ma

The extended Bouc-Wen differential model is one of the most widely accepted phenomenological models of hysteresis in computational mechanics. It is routinely used in the characterization of structural damping and in system identification. In this paper, the differential model of hysteresis is carefully re-examined and two significant issues are uncovered. First, it is found that the unspecified parameters of the model are not independent. One of the model parameters can be eliminated through suitable transformations in the parameter space. Second, through local and global sensitivity analysis, it is found that some parameters of the hysteretic model are rather insensitive. If these insensitive parameters are set to constant values, a greatly simplified model is obtained.


2019 ◽  
Vol 131 ◽  
pp. 249-261 ◽  
Author(s):  
Freddy A. Lucay ◽  
Edelmira D. Gálvez ◽  
Mauricio Salez-Cruz ◽  
Luis A. Cisternas

2010 ◽  
Vol 26 (3) ◽  
pp. 132-139 ◽  
Author(s):  
Francisco Javier Casado ◽  
Salvador García-Pareja ◽  
Elena Cenizo ◽  
Beatriz Mateo ◽  
Coral Bodineau ◽  
...  

2018 ◽  
Vol 13 (01) ◽  
pp. P01021-P01021
Author(s):  
P. Novotny ◽  
P. Dryak ◽  
J. Solc ◽  
P. Kovar ◽  
Z. Vykydal

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