Abstract
An efficient computational method is suggested for the first-excursion reliability assessment of nonstationary process. In the proposed method, the nonlinear performance function is linearized at the Hasofer-Lind point obtained by an iterative algorithm. The problem of the nonstationary processes is solved by the discrete-time method, in which the precision can be controlled by choosing the steps of discretization. The derived formulae can be conveniently degraded to calculate both the first-excursion reliability with linear performance function of stationary processes and the time-independent reliability. The suggested method is useful for the analysis of components and systems with nonstationary responses in structural design where some uncertainties are represented by a vector of nonstationary processes. Examples are given to demonstrate the fast convergency and effectiveness of the presented method.
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The project supported by the National Natural Science Foundation of China
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Ning, L. A computational method for first-excursion reliability. Acta Mech Sinica 12, 377–386 (1996). https://doi.org/10.1007/BF02487803
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DOI: https://doi.org/10.1007/BF02487803