Reliability Analysis Of Randomly Vibrating Structures With Parameter Uncertainties

摘要: The problem of reliability analysis randomly driven, stochastically parametered, vibrating structures is considered. excitation components are assumed to be jointly stationary, Gaussian random processes. randomness in structural parameters modelled through a vector mutually correlated, non-Gaussian variables. structure defined safe if set response quantities remain within prescribed thresholds over given duration time. An approximation for the failure probability, conditioned on randomness, first formulated terms recently developed multivariate extreme value distributions. estimate unconditional probability subsequently obtained using method based Taylor series expansion. This has involved evaluation gradients distribution, variables, with respect basic Analytical and numerical techniques computing these have been discussed. Issues related accuracy proposed examined. applications systems, where different modes dependent. Illustrative examples presented include seismic fragility piping network nuclear power plant.