Differential evolution (DE) is a popular evolutionary algorithm inspired by Darwin's theory of
evolution and has been studied extensively to solve different areas of optimisation and …

Monte Carlo methods have attracted constant and even increasing attention in structural
reliability analysis with a wide variety of developments seamlessly presented over decades …

Recently, numerous studies have focused on structural reliability analysis, with the Kriging-
based active learning method being particularly popular. A variety of Kriging-based learning …

The reliability analysis of an engineering system with a small failure probability (P f) and a
complex-geometry performance function is a major challenge in the probabilistic …

Reliability analyses of engineering systems require methods capable of reducing the
number of function calls and response variances to calculate the failure probability. This …

Importance sampling methods are widely used in structural reliability analysis. However,
owing to the complex shape of optimal importance sampling densities, it is usually difficult to …

Bistable composite laminates are advanced composite structures which are potential
candidates for morphing structure applications. The geometrical dimensions, material …

An adaptive Bayesian polynomial chaos expansion (BPCE) is developed in this paper for
uncertainty quantification (UQ) and reliability analysis. The sparsity in the PCE model is …

To ensure the reliability of complex structures, a novel reliability assessment method
combining an active learning kriging (ALK) model with adaptive weighted importance …

For hybrid reliability analysis under random and multi-super-ellipsoidal variables (HRA-RM)
with small failure probability, a combination of kriging and subset simulation importance …