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