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Viscoelastic dampers, as supplementary energy dissipation devices, have been used in building structures under seismic excitation
or wind loads. Different analytical models have been proposed to describe their dynamic force deformation characteristics.
Among these analytical models, the fractional derivative models have attracted more attention as they can capture the frequency
dependence of the material stiffness and damping properties observed from tests very well. In this paper, a Fourier-transform-based
technique is presented to obtain the fractional unit impulse function and the response of structures with added viscoelastic
dampers whose force-deformation relationship is described by a fractional derivative model. Then, a Duhamel integral-type
expression is suggested for the response analysis of a fractional damped dynamic system subjected to deterministic or random
excitation. Through numerical verification, it is shown that viscoelastic dampers are effective in reducing structural responses
over a wide frequency range, and the proposed schemes can be used to accurately predict the stochastic seismic response of
structures with added viscoelastic dampers described by a Kelvin model with fractional derivative. 相似文献
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