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Title: Application of fractional derivatives to seismic analysis of base- isolated models
Authors: Chan Ghee Koh 
Kelly, J.M.
Issue Date: 1990
Citation: Chan Ghee Koh,Kelly, J.M. (1990). Application of fractional derivatives to seismic analysis of base- isolated models. Earthquake Engineering & Structural Dynamics 19 (2) : 229-241. ScholarBank@NUS Repository.
Abstract: The concept of fractional derivatives is employed in the formulation of a stress-strain relationship for elastomers. An oscillator consisting of a mass and a "fractional' Kelvin element is used to model elastomeric bearings used in base isolation systems. Efficient numerical multi-step schemes are developed for the dynamic analysis of a single-degree-of-freedom "fractional oscillator' in the time domain. Numerical examples show that these multi-step schemes are in good agreement with the Laplace and Fourier solutions. When applied to shaking table tests of base-isolated bridge deck, the fractional derivative model is found to agree well with the experimental results. -Authors
Source Title: Earthquake Engineering & Structural Dynamics
Appears in Collections:Staff Publications

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