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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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. Herein 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.

In an automotive suspension system the shock absorber has the purpose of dissipating the energy of the motion of the vehicle caused by elsctrorheological road disturbances. Semiactive SA suspension systems use a particular type of shock absorber which is capable of online modifying the amount of energy that can dissipate.

Method for Modeling Electrorheological Dampers Using Its Dynamic Characteristics

This model can represent the behavior in both the preyield and the postyield zone but needs the identification of every parameter in each combination of frequency and field intensity; the accuracy of the model depends on how small are the considered intervals of the variables, but when changing the between this levels the model does not consider a transient response of the force.

The average FM diagram, Figure 7 cshows that the average force gain for this particular ER damper has a linear behavior. The customized model, Figures 11 e and 11 fshows the best modeling performance since the nonlinearities added by the manipulation signal are well described and the low and high damping forces are correctly identified. There are several contributions in this topic [ 23 ]. The yield point defines where the SA damper operates: The method is validated with intensive experimental data and compared to others published.


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.

It represents the ratio between the variance of the estimation error and the variance of the experimental damper force [ 21 ]. The first step of the validation process is to prove that the terms discarded have little influence in the modeling performance; this is done by comparing the performance indexes obtained with the full model, 3a3bversus the ones obtained with the customized model, 5a5b.

In Figures 8 b and 9 b it can be seen that the model can represent the rigidity of the damper, but in the same way as in Figures 9 a and 10 a the stick-slip phenomenon appears again. Our proposal considers general model that is customized based only on experimental data of the ER damper.

However, most of them are highly dependent on internal physical properties of the damper usually confidential informationdemand too much computational effort, or fail to capture the nonlinear behavior of the ER damper.

The results show, as expected, that the Choimodel spends less than half the time 0. Density plots of experimental and estimated data for different models experiment.

In contrast with the experimental data, in the Eyring-plastic model the higher density appears with large forces and exhibits a saturation, Figure 12 g ; hence the Eyring-plastic model produces smaller forces with large displacements than the real damper. If the SA damper has an asymmetric behavior the model needs to have different coefficients for positive and negative velocities.

This energy dissipation allows the suspension to achieve two important objectives: This is an open access article distributed under the Creative Commons Attribution Licensewhich permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

The Choi and Eyring-plastic models present smaller forces than the electroeheological model.

An electrorheological fluid vibration damper

For the PWM duty cycle, the Stepped inCrements SC signal, Figure 3 ais used to study the effect of the actuation e,ectrorheological under different displacements sequences. For quantitative validation purposes the error-to-signal ratio ESR performance index was selected. Since in the model customization step those terms were excluded, the model was less effective in capturing those highly hysteric behaviors.


A method for modeling ER dampers was proposed. A method for modeling an Electrorheological ER damper is proposed. The method comprehends two main steps: Three replicas of each experiment were used to evaluate the performance of the customized model. The electrorheological ER damper is a hydraulic device, which is filled with a mixture of low viscosity oil and particles that are sensitive to an electric field. Comparison of estimated green and electrorheolofical black data based on.

None of the analyzed models consider the stick-slip effect so the force peaks around 0. It can be observed damer in almost all experiments the customized model shows same results as the full model, electrlrheological the exception of. 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 eleftrorheological the annular duct.

Figure 12 presents a comparison of the density plots of experiment.

In the FD diagram the experimental data presents higher density with small forces, especially in compression, Figure 12 e. The ER fluid, when exposed to the electric field, behaves as a viscoelastic material, known as a Bingham plastic.

The resulting model has low computational complexity. A new method to model an ER damper is proposed. Another model is based on a lumped parameter method, in which the sections of the ER damper upper chamber, lower eldctrorheological, annular duct, and connecting pipe electdorheological divided into lumps and modeled with differential equations.

In order to analyze the effectiveness of the customized model, a comparative analysis with other two well-known models was carried out: