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Earthquake Engineering Research - HKU Libraries - The University ...

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500<br />

modal damping ratio of 2% in each mode was assumed. <strong>The</strong> undamped frequencies of the system are:<br />

1.07Hz, 2.89Hz, 4.39Hz, and 5.29Hz. <strong>The</strong> viscoelastic dampers were installed in the diagonal bracing<br />

of each story at 45° angles. <strong>The</strong> dimensions of the viscoelastic material used in the dampers were:<br />

area, A = 200 cm 2 , and material thickness, h = 3 cm.<br />

<strong>The</strong> model parameters for the fractional derivative model were chosen as: a = 3/5, G 0 = O.SxlO 5<br />

N/m 2 , GI - 7.2 x 10 5 sec* N/m 2 . For these parameters, the storage and loss moduli are defined by:<br />

G'(£y)=o.8-K7.2cos— )

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