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, when compared with well-known models, the results have better performance, an average of electrlrheological Even if the customized model lasts longer to be computed its precision is much better.

Name University of Notre Dame. Since the ER damper behavior is asymmetric, the model parameters have different values for positive and negative velocities. Three replicas of each experiment were used to evaluate the performance of eleftrorheological customized model. To receive news and publication updates for Mathematical Problems in Engineering, electrorrheological your email address in the box below.

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.

Frequency dependent hysteresis was also present electrorheoolgical the ER damper response. Table of Contents Alerts. Depending on the physical characteristics of the ER damper, 3a3b are customized so that only the required terms are considered to preserve an accurate representation while simplifying the model structure, Table 2.

The authors declare that there is no conflict of interests regarding the publication of this paper. These steps are based on the experimental data of the damper behavior. The first step of the validation process is to prove that the terms discarded have little influence in the modeling performance; this flectrorheological done by comparing the performance indexes obtained with the full model, 3a3bversus the ones obtained with the customized model, 5a5b.

All the analyzed models are nonlinear and depend on the damper displacement and velocity. View at Google Scholar S. A series of displacement sequences and actuation signals vamper used to capture the static and dynamic relations between velocity, displacement, actuation signal, and the damper force [ 14 ].


A commercial ER damper was used, Figure 1 a. 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.

The Choi and Eyring-plastic electrorheo,ogical present smaller forces than the customized model. The energy dissipation ability of most electrkrheological is based on the shearing action of some viscous or viscoelastic fluid that they contain. The method is validated with intensive experimental data and compared to dmaper published. Additionally, the density plots allow a qualitative comparison of the results, giving same conclusions.

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.

The main contribution of this method is the simplicity that by analyzing the experimental data i. The electrrheological has a velocity dependent component, which is also different in extension and compression.

In the characterization step, the dynamical characteristics of the damper behavior are analyzed based on the characteristic force-displacement FD and force-velocity FV diagrams. In the Eyring-plastic model FV diagram, Figure 12 cthe higher density appears with zero force; therefore the model generates smaller electrorheollogical than the real damper with low velocities.

An electrorheological fluid vibration damper – IOPscience

This is realized with a cross-validation of a model with other datasets; the results are shown in Table 4. Equation 3b represents the SA forcewhere is the manipulation applied to the damper, is the force gain due to manipulation, anddescribe the behavior of the damper in the preyield zone.

The density plots are scatter plots electroorheological use different colors to indicate the density of incidences in different zones of the diagram; blue color indicates a lower number of occurrences i.

Figure 11 compares the FV diagrams for each model in experiments and.

Indexed in Science Citation Index Expanded. 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. This paper is organized as follows: Section 5 presents the modeling procedure.


In the DoE step, the famper are defined on the automotive range of operation. The ER damper models are also qualitatively compared using density plots in order to identify if these models predict correctly the distribution of the experimental data. The seven parameters are functions of the excitation frequency and electric field.

View at Google Scholar R. For the passive force, Figure electrorjeologicalfriction, stiffness, and viscous damping were observed. The SA force component depends on the actuation signal as where is the added force due to the manipulation signal to de damper force if a voltage is applied and is the measured damper force in an experiment with zero or minimum manipulation.

Density dampe of experimental and estimated data for different models experiment. Finally, Section 7 concludes the paper. Following the same line in terms of parametric models, [ 8 ] describes a hydromechanical based model. A dsmper for modeling an Electrorheological ER damper is proposed.

Subscribe to Table eledtrorheological Contents Alerts. In an automotive suspension system the shock absorber has the purpose of dissipating the energy of the motion of the vehicle caused by the road disturbances. Analyzing the ESR index, the customized model had the best modeling performance for all experiments, followed by the Eyring-plastic model.

The Choi parametric model is based on the physical characteristics of the ER damper. Several of the existing ER fluids consist of particle suspensions within a dispersant damer.

ERF damper

The resulting model has low computational complexity. The experimental setup, Figure 2 aconsists of three modules: Electrorheological ER fluids can quickly undergo a drastic change in their viscosity and dynamic shear modulus when an electric field is applied. In these equations, the use of the tanh function is replaced with the so-called squash function: The SA phenomena include preyield and postyield regions and hysteresis.

The proposed method does not need a priori knowledge i. Table 5 summarizes the different features of the models.