Variation of the hysteresis loop with the Bouc-Wen model parameters

被引:89
作者
Ikhouane, Faycal
Hurtado, Jorge E.
Rodellar, Jose
机构
[1] Univ Politecn Catalunya, Dept Matemat Aplicada 3, Escola Univ Engn Tecn Ind Barcelona, Barcelona 08036, Spain
[2] Univ Nacl Colombia, Manizales, Colombia
[3] Univ Politecn Catalunya, Dept Matemat Aplicada 3, ES-08034 Barcelona, Spain
关键词
Bouc-Wen model; hysteresis; parameters; hysteresis loop;
D O I
10.1007/s11071-006-9091-3
中图分类号
TH [机械、仪表工业];
学科分类号
0802 ;
摘要
The Bouc-Wen model for smooth hysteresis has received an increasing interest in the last few years due to the ease of its numerical implementation and its ability to represent a wide range of hysteresis loop shapes. This model consists of a first-order nonlinear differential equation that contains some parameters that can be chosen, using identification procedures, to approximate the behavior of given physical hysteretic system. Despite a large body of literature dedicated to the Bouc-Wen model, the relationship between the parameters that appear in the differential equation and the shape of the obtained hysteresis loop is little understood. The objective of this paper is to fill this gap by analytically exploring this relationship using a new form of the model called the normalized one. The mathematical framework introduced in this study formalizes the vague notion of "loop shape" into precise quantities whose variation with the Bouc-Wen model parameters is analyzed. In light of this analysis, the parameters of Bouc-Wen model are re-interpreted.
引用
收藏
页码:361 / 380
页数:20
相关论文
共 22 条
[1]  
BABER TT, 1980, CIVIL ENG STUDIES SR, V471
[2]  
Bouc R., 1967, P 4 C NONLINEAR OSCI
[3]   STOCHASTIC DYNAMICS OF HYSTERETIC MEDIA [J].
CASCIATI, F .
STRUCTURAL SAFETY, 1989, 6 (2-4) :259-269
[4]  
CASCIATI F, 1988, SMOOTH PLASTICITY LA, P189
[5]  
Casciati F, 1987, P ICASP5 INT C APPLI, P1165
[6]   Thermodynamic admissibility of Bouc-Wen type hysteresis models [J].
Erlicher, S ;
Point, N .
COMPTES RENDUS MECANIQUE, 2004, 332 (01) :51-57
[7]   HYSTERESIS MODELING OF WOOD JOINTS AND STRUCTURAL SYSTEMS [J].
FOLIENTE, GC .
JOURNAL OF STRUCTURAL ENGINEERING, 1995, 121 (06) :1013-1022
[8]  
Ikhouane F, 2005, NONLINEAR DYNAM, V42, P63, DOI 10.1007/s11071-005-0069-3
[9]  
IKHOUANE F, 2004, P AM CONTR C BOST MA
[10]   Modeling of a three-layer piezoelectric bimorph beam with hysteresis [J].
Low, TS ;
Guo, W .
JOURNAL OF MICROELECTROMECHANICAL SYSTEMS, 1995, 4 (04) :230-237