Dynamic analysis of frames with viscoelastic dampers modelled by rheological models with fractionalderivatives

Stochastic dynamic response and reliability assessment of controlled structures with fractional derivative model of viscoelastic dampers

“…In civil engineering, viscoelastic dampers, which are some preferred energy dissipation devices for passive response control, are successfully applied to reduce any excessive vibrations of buildings caused by winds and earthquakes [10,11]. It is now recognized that the fractional derivative model for the rheological property of viscoelastic damper can accurately capture the stiffness and energy dissipation characteristics, which are of great interest in dynamic analysis [12].…”

A PDEM based new methodology for stochastic dynamic stability control of nonlinear structures with fractional-type viscoelastic dampers

“…In this paper, the Kelvin model of fractional-type VE damper is specifically adopted [13]. Further, Eq.…”

“…On the other hand, fractional mechanical models of viscoelastic (VE) dampers have received considerable attention and have been used as important control devices to mitigate the dynamic response of structures [12,13]. The advantage of fractional model is that it can correctly describe the mechanical behavior of a VE damper using only a small number of model parameters.…”

The Influence of Uncertainty of Design Parameters on Dynamic Characteristics of Structure With Dampers

“…The equation of motion for structures with viscoelastic dampers can be written in the following form [12] …”