Probability density evolution method: background, significance and recent developments

J Li - Probabilistic Engineering Mechanics, 2016 - Elsevier
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 …

Consistent seismic hazard and fragility analysis considering combined capacity-demand uncertainties via probability density evolution method

XY Cao, DC Feng, M Beer - Structural Safety, 2023 - Elsevier
A consistent seismic hazard and fragility framework considering combined capacity-demand
uncertainties is proposed, in light of the probability density evolution method (PDEM). The …

Control methodologies for vibration control of smart civil and mechanical structures

Z Li, H Adeli - Expert systems, 2018 - Wiley Online Library
Artificial intelligence and expert system remains a key technology in the 21st century. Using
active controllers, a structure can adaptively adjust its behaviour during dynamic loads. Such …

A GF-discrepancy for point selection in stochastic seismic response analysis of structures with uncertain parameters

J Chen, J Yang, J Li - Structural Safety, 2016 - Elsevier
In the stochastic dynamic analysis of nonlinear structures, the strategy of point selection
plays a critical role in achieving the tradeoffs between the accuracy and efficiency. To this …

Reliability analysis using adaptive Polynomial-Chaos Kriging and probability density evolution method

T Zhou, Y Peng - Reliability Engineering & System Safety, 2022 - Elsevier
An efficient reliability method that combines adaptive Polynomial-Chaos Kriging (PC-
Kriging) and probability density evolution method (PDEM) is developed, which is …

An efficient and versatile Kriging-based active learning method for structural reliability analysis

J Wang, G Xu, P Yuan, Y Li, A Kareem - Reliability Engineering & System …, 2024 - Elsevier
In structural reliability analysis, the development of an efficient and versatile active learning
method applicable to problems of varying complexities remains a challenging task. The …

A decoupled approach for determination of the joint probability density function of a high-dimensional nonlinear stochastic dynamical system via the probability density …

MZ Lyu, DC Feng, JB Chen, J Li - Computer Methods in Applied Mechanics …, 2024 - Elsevier
The joint probability density function (PDF) of multiple response processes of a system is a
crucial topic in the fields of science and engineering. It is adopted to describe the dependent …

An enhanced PDEM-based framework for reliability analysis of structures considering multiple failure modes and limit states

DC Feng, XY Cao, M Beer - Probabilistic Engineering Mechanics, 2022 - Elsevier
In this paper, an enhanced probability density evolution method (PDEM) framework
considering multiple failure modes and limit states is proposed for reliability analysis of …

Fatigue reliability analysis of wind turbine tower under random wind load

B Fu, J Zhao, B Li, J Yao, ARM Teifouet, L Sun, Z Wang - Structural Safety, 2020 - Elsevier
It is important to understand the vibration response and fatigue characteristics of the wind
turbine structure. The fatigue reliability of the tower flange and bolt is studied in this paper …

Kernel principal component analysis-based Gaussian process regression modelling for high-dimensional reliability analysis

T Zhou, Y Peng - Computers & Structures, 2020 - Elsevier
An efficient reliability method is presented to address the challenge inherent in the high-
dimensional reliability analysis. The critical contribution is an elegant implementation of …