Physical consistency of the hysteretic Bouc-Wen model

Authors:	Ikhouane Faycal, Universitat Politecnica de Catalunya, Spain Rodellar Jose, Universitat Politecnica de Catalunya, Spain
Topic:	1.1 Modelling, Identification & Signal Processing
Session:	Model Validation Techniques
Keywords:	Black-box modelling, physical consistency, mathematical analysis,Bouc-Wen model.

Abstract

This paper deals with the determination of the conditions for whichthe hysteretic Bouc-Wen model is consistent with the physical phenomenon itis supposed to represent. In particular, we derive the conditions on the modelparameters under which the model is stable, asymptotically dissipative and verifiesthe hysteretic property. These conditions are in the form of algebraic inequalitiesto be verified by the Bouc-Wen model parameters.