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Structural Engineering and Mechanics
  Volume 41, Number 1, January10 2012, pages 113-137

Dynamic analysis of frames with viscoelastic dampers: a comparison of damper models
R. Lewandowski, A. Bartkowiak and H. Maciejewski

    Frame structures with viscoelastic (VE) dampers mounted on them are considered in this paper. It is the aim of this paper to compare the dynamic characteristics of frame structures with VE dampers when the dampers are modelled by means of different models. The classical rheological models, the model with the fractional order derivative, and the complex modulus model are used. A relatively large structure with VE dampers is considered in order to make the results of comparison more representative. The formulae for dissipation energy are derived. The finite element method is used to derive the equations of motion of the structure with dampers and such equations are written in terms of both physical and state-space variables. The solution to motion equations in the frequency domain is given and the dynamic properties of the structure with VE dampers are determined as a solution to the appropriately defined eigenvalue problem. Several conclusions concerning the applicability of a family of models of VE dampers are formulated on the basis of results of an extensive numerical analysis.
Key Words
    dynamics of frames; viscoelastic dampers; dynamic characteristics; classical rheological models; Kelvin model with fractional order derivative; complex modulus model
R. Lewandowski, A. Bartkowiak and H. Maciejewski: Department of Civil Engineering, Poznan University of Technology, ul. Piotrowo 5, 60-965 Poznan, Poland

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