Steady-state response of systems with fractional dampers

3rd International Conference on Innovative Materials, Structures and Technologies

Lewandowski, R.^1 ; Lenkowska, A.^1

Poznan University of Technology, 60-965 Pozna, ul. Piotrowo 5, Poland^1

关键词: Environmental temperature;    Fractional derivatives;    Parametric study;    Rheological models;    Steady state vibrations;    Steady-state response;    Time-temperature superposition principles;    Visco-elastic dampers;   

Others  :  https://iopscience.iop.org/article/10.1088/1757-899X/251/1/012091/pdf
DOI  :  10.1088/1757-899X/251/1/012091

来源: IOP

【 摘 要 】

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.