Hysteretic Biviscous Model Research Articles

Vibration control assessment of ASCE benchmark model of cable-stayed bridge

This paper presents the performance assessment of the semi-active control on the ASCE benchmark model of a cable-stayed bridge using MR dampers. In order to develop the semi-active control algorithm unique features of the MR damper were generated which considered the intrinsic nonlinear behavior of the damper. The modified nonlinear hysteretic bi-viscous model with three slopes in the force/velocity loop and two yield force values were proposed. Different control algorithms were selected including H2, H∞ and mix H2 and H∞ control algorithms, sliding mode control in lieu of the LQG formulation, and the SMC with fuzzy logic control. The performance of the control algorithm is compared through a numerical study of the ASCE benchmark model of a cable-stayed bridge. Finally, the control performance among different control algorithm is examined. Through numerical study it is concluded that the mixed H2 and H∞ semi-active control method is the better control method because it has a good ability to mitigate every evaluated response, and has a robust control gain to generate the appropriate control force. But the passive control system (passive-on for MR-damper) for this benchmark problem also provides good control effectiveness. Copyright © 2005 John Wiley & Sons, Ltd.

PRELIMINARY DESIGN PROCEDURE OF MR DAMPERS FOR CONTROLLING SEISMIC RESPONSE OF BUILDING STRUCTURES

In this paper, a preliminary design procedure of magnetorheological (MR) dampers is developed for controlling building response induced by seismic excitation. Hysteretic biviscous model which is simple and can describe the hysteretic characteristics of MR damper, is used for parametric studies. The capacity of MR damper is determined as a portion of not the building weight but the lateral restoring force. A method is proposed for the optimal placement and number of MR dampers, and its effectiveness is verified by comparing it with the simplified sequential search algorithm. Numerical results indicate that capacity, number and placement can be reasonably determined using the proposed design procedure.

건축구조물의 지진응답제어를 위한 MR 감쇠기 예비설계절차

In this paper, the preliminary design procedure of magnetorheological (MR) dampers is developed for controlling the building response induced by seismic excitation. The dynamic characteristics and control effects of the modeling methods of MR dampers such as Bingham, biviscous, hysteretic biviscous, simple Bouc?Wen, Bouc?Wen with mass element, and phenomenological models are investigated. Of these models, hysteretic biviscous model which is simple and capable describing the hysteretic characteristics, is used for numerical studies. The capacity of MR damper is determined as a portion of not the building weight but the lateral restoring force. A method is proposed for optimal placement and number of MR dampers, and its effectiveness is verified by comparing it with the simplified sequential search algorithm. Numerical results indicate that the capacity, number and the placement can be reasonably determined using the proposed design procedure.

Comparison of damping force models for an electrorheological fluid damper

In this work, five different models are proposed to predict the field-dependent damping force of an electrorheological (ER) damper and are compared. These are: the Bingham plastic model, the hysteretic Bingham plastic model, the hysteretic biviscous model, the Bouc-Wen model and the hydro-mechanical model. After briefly describing the inherent characteristics of each model, model parameters are identified using a set of experimental data that are obtained by changing electric fields and excitation frequencies. The identified parameters are analysed and used to reconstruct the damping force – the piston velocity plot that directly indicates the hysteresis behaviour of the ER damper and compared with the measured hysteresis loop. In addition, the damping force error between the prediction and experiment is evaluated for each model.

Characterization and Analysis of Magnetorheological Damper Behavior Under Sinusoidal Loading

The hysteresis behavior of a linear stroke magnetorheological damper is characterized for several magnetic fields and sinusoidal excitations over a nominal operational frequency range of 1.0-3.0 Hz. The behavior of the damper is inadequately modeled using the equivalent viscous damping and the complex modulus. Therefore, four different nonlinear modeling perspectives are discussed for purposes of system identification procedures, including the 1) nonlinear Bingham plastic model, 2) nonlinear biviscous model, 3) nonlinear hysteretic biviscous model, and 4) nonlinear viscoelastic plastic model. The first three nonlinear models are piecewise continuous in velocity. The fourth model is piecewise smooth in velocity. The parameters for each model are identified from an identification set of experimental data; these parameters are then used to reconstruct the force vs displacement and the force vs velocity hysteresis cycles for the respective model. Model performance is evaluated by calculating equivalent viscous damping and force time history errors between the model fit and the experimental data. In addition to the identification study, a validation study was done. Model parameters were calculated for offset values of current and frequency. These intermediate parameters were used to calculate hysteresis cycles, which were compared with a second set of experimental data, a validation data set. Identification and validation study results including damping levels and force time history errors.

Idealized Hysteresis Modeling of Electrorheological and Magnetorheological Dampers

The hysteresis behavior of a linear stroke magnetorheological damper is characterized for sinusoidal displacement excitation at 2.0 Hz (nominal). Four different modeling perspectives are discussed for purposes of system identification procedures, including: (1) equivalent viscous damping, (2) nonlinear Bingham plastic model, (3) nonlinear biviscous model, and (4) nonlinear hysteretic biviscous model. By progressively adding model parameters with which to better represent pre-yield damper behavior, the force vs. velocity hysteresis model is substantially improved. The three nonlinear models represent the force vs. displacement hysteresis behavior nearly equally well. Thus, any of the three nonlinear damper models could be used equally successfully if only a prediction of energy dissipation or damping were of interest. The nonlinear hysteretic biviscous model provides the best representation of force vs. velocity hysteresis of the four models examined here.