Abstract

In this paper, steady state vibrations of systems with built-up viscoelastic dampers are considered. The dampers are modeled using the fractional-derivative rheological models. The Caputo type fractional derivative definition is used. In particular, the steady state vibrations of systems are analysed. The solution to the steady state vibrations is written using real quantities. The effects induced by changes of environmental temperature are also considered and, in this context, the time-temperature superposition principle is adopted. The results of several parametric studies are also described and discussed in detail.

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