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Identification of the parameters of the Kelvin–Voigt and the Maxwell ...

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ARTICLE IN PRESS<br />

12 R. Lew<strong>and</strong>owski, B. Chorą_zyczewski / Computers <strong>and</strong> Structures xxx (2009) xxx–xxx<br />

Fig. 12. A comparison <strong>of</strong> <strong>the</strong> experimentally obtained hysteresis curve (small cross marks) <strong>and</strong> <strong>the</strong> hysteresis curve resulting from <strong>the</strong> identification procedure (solid line).<br />

Fig. 13. Storage modulus – comparison <strong>of</strong> experimental data (small cross marks) with results obtained from <strong>the</strong> identification procedure (solid line) – <strong>the</strong> fractional Kelvin–<br />

Voigt model.<br />

30,333.9 Ns/m are obtained after application <strong>of</strong> <strong>the</strong> identification<br />

procedure. A comparison <strong>of</strong> <strong>the</strong> storage modulus resulting from<br />

<strong>the</strong> identification procedure (<strong>the</strong> solid line) with <strong>the</strong> storage modulus<br />

obtained experimentally (<strong>the</strong> small cross marks) is presented<br />

in Fig. 13. A similar comparison for <strong>the</strong> loss modulus is shown in<br />

Fig. 14. The presented results indicate that <strong>the</strong> three parameter<br />

fractional Kelvin–Voigt model could reasonably well describe <strong>the</strong><br />

behaviour <strong>of</strong> solid VE dampers.<br />

Please cite this article in press as: Lew<strong>and</strong>owski R, Chorą _zyczewski B. <strong>Identification</strong> <strong>of</strong> <strong>the</strong> <strong>parameters</strong> <strong>of</strong> <strong>the</strong> Kelvin–Voigt <strong>and</strong> <strong>the</strong> <strong>Maxwell</strong> fractional models,<br />

used to modeling <strong>of</strong> viscoelastic dampers. Comput Struct (2009), doi:10.1016/j.compstruc.2009.09.001

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