Abstract: This study addresses the complexities that arise in developing algorithms to formulate and subsequently solve the very large system of equations describing the stochastic response cumulants of multi-degree-of-freedom (MDOF) ...

Abstract: A new approximate asymptotic method is presented for the nonstationary response of classically damped MDOF (multidegree‐of‐freedom) linear systems to a general class of nonstationary stochastic excitations. The method is ...

Abstract: An asymptotic approximation is developed for evaluating the probability integrals that arise in the determination of the reliability and response moments of uncertain dynamic systems subject to stochastic excitation. The ...