Vilkis Based on design of experiments DoEthe representative behavior of the damper into the automotive domain can be obtained. Subscribe to Table of Contents Alerts. Finally, the customized model, Figure 12 dgenerates a similar density of experimental data for extension forces and slightly larger compression forces. Mathematical Problems in Engineering. 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.

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Kazramuro These tools will lead to realistic macroscopic force displacement models for the damper unit, and possibly to the design of optimal damper geometries. 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.

Finally, Section 7 concludes the paper. The electrorheological ER damper electrorhfological a hydraulic device, which is filled with a mixture of low viscosity oil and particles that are sensitive to an electric field.

The sequences used for the displacement of the piston are road profile RPFigure 2 b[ 15 ], and decreasing-amplitude stepped frequency sinusoidal DSFS signal, Figure 2 c[ 16 ]. Consider where with Equation 3a describes the passive force.

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.

Later [ 7 ] shows two different types of ER damper configurations. According to [ 22 ], since the experiment is a RP the zones with higher density of occurrences should electrorheplogical at low velocities for the FV diagram; in the case of the FD diagrams these zones should be in the small displacement range; on the other hand this experiment has a PRBS actuation signal; therefore the higher density zones must be in the ends of the control signal 0.

In Figure 7 b electdorheological stiffness of the damper is affected when the frequency is incremented; also it is notorious how the stick-slip phenomenon became greater as the manipulation increases. The yield point defines where the SA damper operates: The ICPS is a signal with random amplitude variations, whereas the PRBS is a signal whose amplitude switches between two constant values with a random frequency.

A series of displacement sequences and actuation signals were used to capture the static and dynamic relations between velocity, displacement, actuation signal, and the damper force [ 14 ]. These results were also validated with two-dimensional density plots. This combination is feasible when the fluid within the dampers is replaced with electrorheological fluid. 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.

This combination, at high frequencies, introduces high variability in the electrorheollgical variability induces more hysteresis in the measured force. The resulting model has low computational complexity. An electrorheological fluid vibration damper The relation between the SA electrorheologiczl and the PWM duty cycle becomes evident; this relationship is asymmetrical, Figures 7 a and 7 b. The behavior of the SA component of the force is presented in Figure 7.

A second validation procedure was to prove the extrapolation ability. View at Google Scholar R. Table of Contents Alerts.

Section 5 presents the modeling procedure. 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.

So far, dlectrorheological has been used mainly in a passive manner. Equation 3b represents the SA forcewhere is the manipulation applied to the damper, is the force gain due to manipulation, anddescribe the eledtrorheological of the damper in the preyield zone. At the yield point the damper fluid behavior changes from a pseudoplastic to a quasisolid [ 17 ]. In order to analyze the effectiveness of the customized model, a comparative analysis with other two well-known models was carried out: Following the same line in terms of parametric models, [ 8 ] describes a hydromechanical based model.

State of the Art There are many mathematical models to reproduce the characteristic behavior of the ER damper. 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. There was a problem providing the content you requested The seven parameters are functions of the excitation frequency and electric field. This function has the advantage of been lighter for computing while reproducing almost the same pattern as the tanh.

Also, when compared with well-known models, the results have better performance, an average of The density plots are scatter plots that use different colors to indicate the density of incidences in different zones of the diagram; blue color indicates a lower number of occurrences i. Experiments were designed to explore the nonlinear behavior of the damper at different frequencies and actuation signals i. This means that ideally it behaves as a solid at low stress efforts, but it flows as a viscous fluid when this force reaches its yield stress.

The Choi model presents higher density in extension forces with zero displacement; thus it generates larger forces with small displacements, Figure 12 f. For the PWM duty cycle, the Stepped inCrements SC signal, Figure 3 ais used to study the effect of the actuation signal under different displacements sequences. All the analyzed models are nonlinear and depend on the damper displacement and velocity. Mathematical Problems in Engineering. The resultant model proves its accuracy with an error-to-signal ratio ESR of Comparison of estimated green and experimental black data based on.

Method for Modeling Electrorheological Dampers Using Its Dynamic Characteristics 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.

The two validation procedures show that the customized model performance is as the full model. The RP sequence is used to test the ER damper under standard automotive conditions and represents the motion in a vehicle suspension when the car is driven through a specific surface. In the case of the FM diagrams, Figures 10 e and 10 fonly four points should be well define, since only two levels of current were used.

In the postyield region the force is almost independent of the piston velocity, but in the preyield zone the force is velocity dependent. In this study it is proposed: Additionally, the density plots allow a qualitative comparison of the results, giving same conclusions.

Also, the customized model can extrapolate the results for different experimental data. These steps are based on the experimental data of the damper behavior. The energy dissipation ability of most dampers is based on the shearing action of some viscous or viscoelastic fluid that they contain. Related Posts.

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