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Small-scale magnetorheological dampers for vibration mitigation ...

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Proofs (Cont’d)<br />

Introduction<br />

Hysteretic models<br />

Identification methodology<br />

Future work<br />

Experimental identification<br />

Summary<br />

Proof.<br />

Regions of the hysteresis BW loops Ikhouane et. al., 2006<br />

The main slope of the linear region is ρX max. This slope comes from d¯w(¯x) at the point of the loading<br />

d¯x<br />

part of the limit cycle where ¯w(¯x) = 0<br />

The abscissa of the point P tp where the plastic region starts is ¯x tp<br />

We have<br />

lim<br />

u−→∞ ψσ,n(u) = 1<br />

Return<br />

Arturo Rodríguez Tsouroukdissian<br />

<strong>Small</strong>-<strong>scale</strong> MR <strong>dampers</strong> <strong>for</strong> <strong>vibration</strong> <strong>mitigation</strong>

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