Seismic Analysis of Structures with Viscoelastic Dampers
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VIEW THE REPLYPublication: Journal of Engineering Mechanics
Volume 135, Issue 6
Abstract
Viscoelastic dampers are being used in structures to mitigate dynamic effects. The models of varying complexities from simple maxwell element to differential models with fractional and complex order derivatives have been used to represent their frequency-dependent force deformation characteristics. More complex models are able to capture the frequency dependence of the material properties better, but are difficult to use in analyses. However, the classical models consisting of assemblies of Kelvin and/or Maxwell elements with an adequate number of parameters can be formed to capture the frequency dependence as accurately as the more sophisticated fractional derivative models can do. The main advantage in adopting these classical models is a simpler and smaller system of equations, which can be conveniently analyzed for nonlinear and linear systems. In this study, the two classical mechanical models consisting of Kelvin chains and Maxwell ladder are used. It is shown that these mechanical models are as effective as the fractional derivative model in capturing the effect of the frequency dependence of the material properties in response calculations and are more convenient to use in dynamic response analyses.
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Acknowledgments
This research is sponsored by the National Science Foundation through Grant Nos. NSFCMS-9987469 and NSFCMS-0201475. This support is gratefully acknowledged.
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© 2009 ASCE.
History
Received: Sep 19, 2006
Accepted: Feb 7, 2008
Published online: May 15, 2009
Published in print: Jun 2009
Notes
Note. Associate Editor: Andrew W. Smyth
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