A method for modeling Electro-Rheological (ER) dampers is proposed. It consists in two sequential steps: Characterization and Customization. Both steps are. This study presents nondimensional analysis of an Eyring constitutive model to describe the field-dependent behavior of an electrorheological. This paper presents the design, analysis, testing and modeling of an electrorheological (ER) fluid damper developed for vibration and seismic.

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Density plots of experimental and estimated data for different models experiment. The proposed method does not need a priori knowledge i. The first one is the most common, the cylindrical type, in which the ER fluid flows through an annular channel where the electric field is applied. This test consists in measuring the time that the model takes to compute a vector of data points; in this case the selected vector contains 58, data points.

The method is validated with intensive experimental data and compared to others published. The major efforts have been aimed at parametric models. Elcetrorheological it is proposed to combine the concepts of passive control with the benefits of active control, to produce an optimal, yet stable and reliable damping system.

This model predicts the nonlinear behavior of the ER damper in the preyield and postyield zones but depends on physical properties of the damper and it is sensitive to the initial conditions, [ 10 ]. If the value of the ESR is 0, it indicates that the model estimates exactly the damper force; however, a value of 1 indicates that the model only predicts the mean value of the damper force. Equation 3b represents the SA forcewhere is the manipulation applied to the damper, is the force gain due to manipulation, and flectrorheological, describe the behavior of the damper in the preyield zone.

Also, at the postyield zone, an average force gain FM is obtained, based on the average value in which the yield of the force occurs at each manipulation value. These steps are based on the experimental data of the damper behavior. In the postyield region the force is almost independent of the piston velocity, but in the preyield zone the force is velocity dependent.

There are many mathematical models to reproduce the characteristic behavior of the ER damper. To receive news and publication updates for Mathematical Problems in Engineering, enter your email address in the box below. Finally, the customized model, Figure 12 hproduces slightly higher forces at low frequencies and a density distribution similar to the experimental data.

View at Google Scholar R. The resulting model has low computational complexity. The yield point defines where the SA damper operates: The energy dissipation ability of most dampers is based on the shearing action of some viscous or viscoelastic fluid that they contain. However, this model was unable to describe the stick-slip phenomenon, Figures 8 a and 9 ain the FV diagrams; they are the force peaks around 0.

Consider where with Equation 3a describes the passive force.

The FM diagram is important for control systems purposes. Abstract A method for modeling an Electrorheological ER damper is proposed.

In the Eyring-plastic model FV diagram, Figure 12 cthe higher density appears with zero force; therefore the model generates smaller forces than the real damper with low velocities. This ER damper is subjected to the stick-slip phenomenon, especially in positive velocity; according to [ 5 ] this phenomenon appears in the ER damper as a force overshot when the flow changes its direction in the annular duct.

The ER fluid, when exposed to the electric field, behaves as a viscoelastic material, known as a Bingham plastic. So far, it has been used mainly in a passive manner. Afterwards the SA diagram, Figure 5 elecfrorheologicalis analyzed using 1. Name University of Notre Dame. It was observed that the customized model can be extrapolated to other signals different from those used in the identification stage.

This is realized with a cross-validation of a model with other datasets; the results are shown in Table 4. The preyield and postyield zones depend on the actuation signal but only the preyield zone depends on the damper velocity. This model also produces larger compression forces with large displacements.

Abstract Funding Institution Comments. This combination, at high frequencies, introduces high variability in the force; variability induces more hysteresis in the measured force. Compared with well-known approaches, the simplicity of the method that does not demand a specialized background of design and modeling of electrorheological dampers is the main important contribution.

Finally, the customized model, Figure 12 dgenerates a similar density of experimental data for extension forces and slightly larger compression forces. This energy dissipation allows the suspension to achieve two important objectives: For the actuation signal the use of a PRBS signal shows how the damper behaves when operated at its limit conditions; for the case of ICPS the full range of force was shown. The method comprehends two main steps: Equations 23aand 3b are a general SA model which includes almost all the phenomena observed in SA dampers.

In this study it is proposed: The Choi parametric model and the customized model explicitly include the actuation signal in the model structure whereas in the Eyring-plastic model the parameters are undefined functions of the actuation signal. In the experimental FV diagram, Figure 12 athe higher density of data appears with small compression forces while in the Choi model, Figure 12 bthe higher density appears with larger forces; hence, this model represents a stiffer damping force than the real damper at low velocities.

These tools will lead to epectrorheological macroscopic force displacement models for the damper unit, and possibly to the design of optimal damper geometries. Another approach is the Eyring model [ 12 ] which uses an Arcsinh function with shape parameters that depends on the electric field intensity and the frequency.

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Subscribe to Table of Contents Alerts. The SA phenomena include preyield and postyield regions and hysteresis. The model parameters were fitted using the LSE method.