1989 Volume 32 Issue 1 Pages 19-24
A method for estimating the dynamic reliability of hysteretic structures under combined time varying loads is investigated in this paper. The response statistical moments of structures, with hysteretic characteristics approximated by Wen's mathematical model, are obtained by using the Fokker-Planck equation method with a cumulant truncation technique. Furthermore, first passage probability, giving consideration to stochastic load combinations, is derived by the load coincidence method assuming a Poisson process for threshold crossings. The uncertainties of power spectral densities pertinent to loads as stochastic processes are also considered through the derivation of first passage probability. This paper, as a first report, describes the analysis of a single-degree-of-freedom system and demonstrates that resulting variances and covariances of the response agree well with a Monte Carlo simulation.