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Equivalent Viscous Damping Ratio of a Friction Damper Installed in a SDOF Building  

Seong, Ji-Young (단국대학교 건축공학과)
Min, Kyung-Won (단국대학교 건축공학과)
Publication Information
Journal of the Computational Structural Engineering Institute of Korea / v.23, no.2, 2010 , pp. 199-208 More about this Journal
Abstract
A friction damper installed at a building shows nonlinear behavior since its stick and slip states are occurred repeatedly depending on the amplitude of external loadings to dissipate input energy. Friction damping is existed for the building with a friction damper. In additionally viscous one is inherently included. Therefore, the building installed in such combined damping is quite involved to find the analytical solution. In this study, first, displacement and acceleration characteristics are identified based on the exact solution for a single-degree-freedom building with a friction damper having both friction and viscous damping. Second, in free vibration, the equivalent viscous damping ratio is obtained by the energy dissipation. Third, numerical analysis is carried out to find response configuration with various friction force ratios. Fourth, corresponding equivalent viscous damping ratio is derived with the finding that the response reaches into steady-state for both friction and viscous damped structure. It is deduced using balance of input external energy and output dissipation energy for steady-state response. Finally, the equivalent viscous damping ratios of free or harmonic vibration are verified through nonlinear analysis.
Keywords
friction damper; combined friction and viscous damping; energy dissipation; equivalent viscous damping; stick and slip; nonlinear behavior;
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Times Cited By KSCI : 3  (Citation Analysis)
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