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Civil-Comp Proceedings
ISSN 1759-3433
CCP: 106
PROCEEDINGS OF THE TWELFTH INTERNATIONAL CONFERENCE ON COMPUTATIONAL STRUCTURES TECHNOLOGY
Edited by:
Paper 70

The Qualitative Differences in Dynamic Characteristics of Structures with Classical and Fractional Dampers

Z. Pawlak and R. Lewandowski

Institute of Structural Engineering, Poznan University of Technology, Poland

Full Bibliographic Reference for this paper
Z. Pawlak, R. Lewandowski, "The Qualitative Differences in Dynamic Characteristics of Structures with Classical and Fractional Dampers", in , (Editors), "Proceedings of the Twelfth International Conference on Computational Structures Technology", Civil-Comp Press, Stirlingshire, UK, Paper 70, 2014. doi:10.4203/ccp.106.70
Keywords: viscoelastic dampers, bifurcation points, fractional derivative, rheological models..

Summary
The aim of this paper is to show the qualitative differences in the dynamic characteristics of a structural system equipped with viscoelastic dampers. The dynamic behaviour of dampers could be described by rheological models. In this approach the rheological properties of dampers are described using both, the classical models (i.e. Maxwell and Kelvin models), as well as the fractional rheological ones. The dynamic characteristics of a structural system equipped with dampers are determined after solving an appropriate nonlinear eigenproblem. For a proportionally increasing value of damper parameters the derived eigenvalues vary and lead to some curves in a complex plane. The qualitative differences between the results obtained for the same system (i.e. the structure with the damper) but for various distribution of structure stiffness were discovered. For the chosen parameters of the structure the non-dimensional damping ratios are limited for some or even for all the modes of vibration. Moreover, after changing the values of the stiffness parameters of the structure it is possible to obtain bifurcation points at the considered curves.

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