Random Vibration of Multistory buildings with Uncertainty

Publisher:
University of Canterbury, Christchurch, New Zealand
Publication Type:
Conference Proceeding
Citation:
Proceedings of the 13th Asia-Pacific Vibration Conference (APVC 09), 2009, pp. 1 - 10
Issue Date:
2009-01
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Seismic random vibration responses of multi-story buildings with interval parameters are investigated. A multi-story building is modelled as a shear beam structure, and the structural mass, stiffness and damping are considered as interval parameters. The earthquake inputs are random process ground acceleration in the horizontal direction. Using the interval factor method, an interval structural parameter can be expressed as the product of its midpoint value and interval factor. Structural natural frequencies, power spectral density and mean square value of structural seismic random displacements can then be expressed as functions of interval factors of structural parameters. The expressions for the lower bound, midpoint, upper bound, maximum width and interval change ratio of structural random responses are derived by means of the interval operations. The effects of the uncertainties of structural parameters on the random responses of a 10-story building are investigated and discussed in detail.
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