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 …

A critical review of probabilistic live load models for buildings: Models, surveys, Eurocode statistics and reliability-based calibration

LGL Costa, AT Beck - Structural Safety, 2024 - Elsevier
The appropriate assignment of gravity live loads is of fundamental importance in
establishing a design base for safe and economical structures. This paper presents a critical …

[图书][B] Stochastic dynamics of structures

J Li, J Chen - 2009 - books.google.com
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 …

A PDEM-based non-parametric seismic fragility assessment method for RC structures under non-stationary ground motions

DC Feng, XY Cao, D Wang, G Wu - Journal of Building Engineering, 2023 - Elsevier
To alleviate the consequential influences of earthquakes, many seismic performance
evaluation methods have been developed over the past century. Fragility assessment is an …

Direct probability integral method for stochastic response analysis of static and dynamic structural systems

G Chen, D Yang - Computer Methods in Applied Mechanics and …, 2019 - Elsevier
This paper proposes a unified and efficient direct probability integral method (DPIM) to
calculate the probability density function (PDF) of responses for linear and nonlinear …

Robustness quantification of reinforced concrete structures subjected to progressive collapse via the probability density evolution method

DC Feng, SC Xie, J Xu, K Qian - Engineering Structures, 2020 - Elsevier
Robustness is the most comprehensive and acceptable index that describes the ability of
structures to withstand progressive collapse induced by accidental extreme events such as …

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 …

Deep learning for nonlinear seismic responses prediction of subway station

P Huang, Z Chen - Engineering Structures, 2021 - Elsevier
A novel and computationally inexpensive method for predicting the nonlinear seismic
response of subway stations using deep learning approaches is developed to reduce 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 …