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In addition, the effect of time constant of the damping force on the vibration control performance is investigated by undertaking a comparative work between fast and slow dynamic characteristics of the ER damper.
After identifying dynamic bandwidth of a cylindrical ER damper operated with two different ER fluids (one has fast response characteristic, while the other slow response characteristic), a quarter car model is established by incorporating with time constant of the damping force.
This paper presents robust control performances of ER suspension system subjected to parameter uncertainties associated with sprung mass of the vehicle and time constant of the ER damper.
For all equilibrium simulation, constant temperature (T = 300 K) was enforced using Langevin dynamics with a damping coefficient of 5 ps−1, constant pressure (p=1 atm) was enforced through the Nosé-Hoover Langevin piston method with a decay period of 100 fs and a damping time constant of 50 fs.
The much longer time constant of the latter variable would almost completely damp its response to the brief stimulus.
The decay time constant is a concave function of damping ratio, so large damping also has an adverse effect.
In this work, five different tuning rules are taken for study to control second-order plus dead time systems with wide ranges of damping coefficients and dead time to time constant ratios (D/t).
The equations, which relate the minimum time constant and the critical damping ratio to the material constants of the damper and the parameters of the system, are obtained in the explicit form.
The quotient between the damper and the spring constant is the time constant in the exponential response of such a model, and was estimated from our main experimental series to be about 0.05 0.5 s.
It is shown that good estimates can be obtained for the exponential time constant and the spatial distribution of the damping.
The exact solution of damping constant for this model has been presented here.
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