The reliability prediction of structures with random parameters subjected to stationary stochastic input

Abstract

The structural elements reliability prediction problem is investigated. At random loads, structure parameter randomness and fatigue failures are taken into account in this paper. External loads are assumed to be a vector space—time random field, and the parameters of the structures investigated are assumed to be random variables with known probabilistic characteristics. The reliability prediction problem includes three stages. At the first stage, the stochastic dynamics problem is solved using correlation theory relations. It concerns the definition of the stress-strain state (SSS) characteristics conditional correlation function and power spectral density (PSD) taking account of external random loads with the fixed parameters of the investigated structure. At the second stage, the SSS correlation functions and PSDs are defined taking account of structural element randomness. At the third stage, the reliability characteristics definition problem due to fatigue failures is solved.