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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 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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