Title: Seismic Vibration Analysis of Multi-story Buildings with Random Parameters

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Publication: CIA

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Date: 2/14/2011

Abstract:
The seismic random vibration response of multi-story buildings with random parameters is studied in this paper. Using the random factor method, the building’s stiffness and mass are considered as random variables and a random parameter can then be described by the product of two parts corresponding to its random factor and mean value. The natural frequencies, power spectral density and mean square value of seismic random response are expressed as functions of random factors of structural parameters. The mathematical expressions for the mean value and standard deviation of the seismic response of buildings are developed by means of the random variable functional moment method. The effects of uncertainties of building’s stiffness and mass on its seismic response are demonstrated by an 11-story building.