Investigation of a stochastic system from a viewpoint of studying the randomness
propagation process in a physical system starts to play an important role in understanding …

In Stochastic Dynamics of Structures, Li and Chen present a unified view of the theory and
techniques for stochastic dynamics analysis, prediction of reliability, and system control of …

Owing to its time-consuming computation of complex structural responses, structural
reliability analysis is still one of the challenging tasks. In this work, based on the FORM, the …

New advances of the probability density evolution method for nonlinear stochastic systems
are presented. The principle of preservation of probability, as a fundamental law of …

In the present study, a new exploration of the mesoscopic structure is proposed for the
nonlocal macro‑meso-scale consistent damage (NMMD) model, and the definition from …

In the recent decade, the reliability analysis of a stochastic system coupled with the
uncertainty related to the system's parameter has attracted much attention. Probability …

In this study, a general frame of the forward and inverse structural uncertainty propagations
(UPs) based on the dimension reduction (DR) method and the derivative lambda probability …

This paper proposes a new method to identify local damages in frame structures based on
approximate Metropolis–Hastings (AMH) algorithm and statistical moment. By analyzing the …

An efficient reliability method, ie, AGM-PDEM, is presented which combines the adaptive
global metamodel (AGM) and the probability density evolution method (PDEM). The global …

To reduce the high computational cost of the probability density evolution method (PDEM)
for structural reliability analysis, an active-learning reliability method that combines the …