Abstract Design optimization of structural and multidisciplinary systems under uncertainty
has been an active area of research due to its evident advantages over deterministic design …

Second-order reliability methods are commonly used for the computation of reliability,
defined as the probability of satisfying an intended function in the presence of uncertainties …

Due to the uncertainties from modeling, manufacturing, and working environments, many
vibration active control systems usually show dynamic uncertain properties. Hence structural …

Current surrogate modeling methods for time-dependent reliability analysis implement a
double-loop procedure, with the computation of extreme value response in the outer loop …

Only the worst-case scenario is considered in most studies when conducting reliability-
based design optimization under hybrid uncertainties including epistemic uncertainty and …

In time-dependent reliability analysis, the first-passage method has been extensively used to
evaluate structural reliability under time-variant service circumstances. To avoid computing …

Purpose The purpose of this paper is to briefly summarize and review the theories and
methods of complex structures' dynamic reliability. Complex structures are usually …

Time-dependent reliability analysis requires the use of the extreme value of a response. The
extreme value function is usually highly nonlinear, and traditional reliability methods, such …

In time-dependent reliability analysis, an upcrossing is defined as the event when a limit-
state function reaches its failure region from its safe region. Upcrossings are commonly …

Time-dependent reliability analysis using surrogate model has drawn much attention for
avoiding the high computational burden. But the surrogate training strategies of existing …