Generally, the static and dynamic reliabilities of structures are addressed separately in the
existing methods except the computationally expensive stochastic sampling-based …

In applications of reliability analysis, the sensitivity of the probability of failure to design
parameters is often crucial for decision-making. A common sensitivity measure is the partial …

This article presents new sensitivity measures in reliability-oriented global sensitivity
analysis. The obtained results show that the contrast and the newly proposed sensitivity …

This paper addresses the challenge of performing importance sampling in high-dimensional
space (several hundred inputs) in order to estimate the failure probability of a physical …

The estimation of rare event or failure probabilities in high dimensions is of interest in many
areas of science and technology. We consider problems where the rare event is expressed …

In this work, we present a priori error estimates for local reliability-based sensitivity analysis.
The Score Function Method and the Weak Approach using Monte Carlo Simulation are …

For practical structures, some input random variables follow multimodal distributions, and
conventional reliability analysis methods may result in large computational errors. In this …

This paper introduces a new approach for importance-sampling-based reliability-based
design optimization (RBDO) that reuses information from past optimization iterations to …

Nonlinear energy sinks (NES) are a promising technique to achieve vibration mitigation.
Through nonlinear stiffness properties, NES are able to passively and irreversibly absorb …

The estimation of the probability of rare events is an important task in reliability and risk
assessment. We consider failure events that are expressed in terms of a limit state function …