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Eric Freysz - One of the best experts on this subject based on the ideXlab platform.

Jean-françois Létard - One of the best experts on this subject based on the ideXlab platform.

Jose Rodellar - One of the best experts on this subject based on the ideXlab platform.

  • variation of the Hysteresis Loop with the bouc wen model parameters
    Nonlinear Dynamics, 2007
    Co-Authors: Fayçal Ikhouane, Jorge E. Hurtado, Jose Rodellar
    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.

  • Variation of the Hysteresis Loop with the Bouc–Wen model parameters
    Nonlinear Dynamics, 2007
    Co-Authors: Fayçal Ikhouane, Jorge E. Hurtado, Jose Rodellar
    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.

Denis Ostrovskii - One of the best experts on this subject based on the ideXlab platform.

Nawel Ould Moussa - One of the best experts on this subject based on the ideXlab platform.