NDLI: Variation of the hysteresis loop with the Bouc

Content Provider	Springer Nature Link
Author	Ikhouane, Fayçal Hurtado, Jorge E. Rodellar, José
Copyright Year	2006
Abstract	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.
Starting Page	361
Ending Page	380
Page Count	20
File Format	PDF
ISSN	0924090X
Journal	Nonlinear Dynamics
Volume Number	48
Issue Number	4
e-ISSN	1573269X
Language	English
Publisher	Kluwer Academic Publishers
Publisher Date	2006-08-25
Publisher Place	Dordrecht
Access Restriction	One Nation One Subscription (ONOS)
Subject Keyword	Bouc–Wen model Hysteresis Parameters Hysteresis loop Automotive and Aerospace Engineering, Traffic Mechanical Engineering Mechanics Vibration, Dynamical Systems, Control
Content Type	Text
Resource Type	Article
Subject	Ocean Engineering Applied Mathematics Control and Systems Engineering Mechanical Engineering Electrical and Electronic Engineering Aerospace Engineering

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