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This paper presents a methodology for the determination of the failure probability of buildings subjected to a seismic excitation. Uncertainties in the parameters of ground and of  structure are considered. The seismic excitation is defined as a one-dimensional stochastic process, which is simulated by passing a Gaussian white noise process through a Kanai-Tajimi filter, in which the frequency, damping and peak ground acceleration are random parameters. A 10-storey building is analyzed, in which the dynamic response is calculated taking into account the randomness in its mass, stiffness and damping ratio. For illustration purposes, 3,000 computational simulations, in MATLAB software, are carried, considering three types of soils in a region located in Peru. The mean maximum values, in modulus, of the displacements and accelerations, the inter-storey drift and the failure probability of the building are calculate.  A maximum value for the interstorey drift are considered as a limit state for damage. The results show that high failure probabilities are obtained in soils with frequencies located between the natural frequencies of the first two vibration modes of the structure.

Determinação da probabilidade de falha em um edifício submetido a uma excitação sísmica