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OCTOBER 19-20, 2012 - YMCA University of Science & Technology

OCTOBER 19-20, 2012 - YMCA University of Science & Technology

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Proceedings <strong>of</strong> the National Conference on<br />

Trends and Advances in Mechanical Engineering,<br />

<strong>YMCA</strong> <strong>University</strong> <strong>of</strong> <strong>Science</strong> & <strong>Technology</strong>, Faridabad, Haryana, Oct <strong>19</strong>-<strong>20</strong>, <strong>20</strong>12<br />

The damping force generated by MR damper can be obtained using mathematical formulations as follows [12-<br />

13] :<br />

Where Ap represents working area <strong>of</strong> the piston, η is the viscosity <strong>of</strong> MR fluid in the absence <strong>of</strong> magnetic field,<br />

is the length <strong>of</strong> each damping duct, R 2 is the inner radius <strong>of</strong> the circular cylindrical orifice, R 1 is the outer<br />

radius <strong>of</strong> the orifice.<br />

The applied current is to be set within certain allowable range for safe working and generation <strong>of</strong> damping force<br />

within acceptable limits for MR damper. Fig. 5 shows the measurement results <strong>of</strong> force-displacement (f-d) and<br />

force-velocity (f-v) relation when the test conditions are: 1Hz sinusoidal excitation and amplitude <strong>of</strong> 4 mm under<br />

the influence <strong>of</strong> supplied current range between 0 to 0.75 A.<br />

Fig. 5: Experimental results <strong>of</strong> MR damper:<br />

(a) Damping force vs. time; (b) Damping force vs. piston displacement; (c) Damping force vs. velocity<br />

Due to its attractive characteristics related to the application in automotive field, MR dampers are top choice but<br />

their inherent nonlinear hysteretic nature and nonlinear dynamic uncertainty make it typical for the developer or<br />

control engineer to select a proper control algorithm for the application in automotive suspension system. To<br />

analyze and compare the behavior as well as performance characteristics <strong>of</strong> MR dampers, many models have<br />

been considered. These include the neural network model proposed by Chang and Roschke [14-15], polynomial<br />

model [16], fuzzy model [17] and other methods [18-<strong>20</strong>]. Therefore, development <strong>of</strong> effective model <strong>of</strong> MR<br />

damper is needed for working with nonlinear behaviour and inverse calculation <strong>of</strong> control current when damping<br />

force is known. The selected polynomial model in present study was put forward by Choi et al. [21], which<br />

provides an easy, reliable and effective method to use the experimental data, obtained by testing MR damper.<br />

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