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 …
propagation process in a physical system starts to play an important role in understanding …
[图书][B] Stochastic dynamics of structures
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 …
techniques for stochastic dynamics analysis, prediction of reliability, and system control of …
RBF-GA: An adaptive radial basis function metamodeling with genetic algorithm for structural reliability analysis
Z Jing, J Chen, X Li - Reliability Engineering & System Safety, 2019 - Elsevier
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 …
reliability analysis is still one of the challenging tasks. In this work, based on the FORM, the …
A decoupled approach for determination of the joint probability density function of a high-dimensional nonlinear stochastic dynamical system via the probability density …
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 …
crucial topic in the fields of science and engineering. It is adopted to describe the dependent …
Advances of the probability density evolution method for nonlinear stochastic systems
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 …
are presented. The principle of preservation of probability, as a fundamental law of …
[PDF][PDF] 随机动力系统中的概率密度演化方程及其研究进展
李杰， 陈建兵 - 力学进展, 2010 - lxjz.cstam.org.cn
随机动力系统中的概率密度演化方程及其研究进展* Page 1 第40 卷第2 期 力学进展 Vol. 40 No.
2 2010 年3 月25 日 ADVANCES IN MECHANICS Mar. 25, 2010 随机动力系统中的概率密度 …
2 2010 年3 月25 日 ADVANCES IN MECHANICS Mar. 25, 2010 随机动力系统中的概率密度 …
Refined probabilistic response and seismic reliability evaluation of high-rise reinforced concrete structures via physically driven dimension-reduced probability density …
Dynamic reliability evaluation of large-scale reinforced concrete (RC) structures is one of the
most challenging problems in engineering practices. Although extensive endeavors have …
most challenging problems in engineering practices. Although extensive endeavors have …
Modeling tensile failure of concrete considering multivariate correlated random fields of material parameters
This paper presents a novel approach for modeling the tensile failure of quasi-brittle
materials by incorporating a multivariate random field to represent material parameters in …
materials by incorporating a multivariate random field to represent material parameters in …
Theory and methods for random differential equations: a survey
M Jornet - SeMA Journal, 2023 - Springer
In this survey, we present an overview of random differential equations, focusing on strong
solutions and methods for estimation of statistics and densities. We combine classical and …
solutions and methods for estimation of statistics and densities. We combine classical and …
Capturing the random mechanical behaviour of granular materials: a comprehensive stochastic discrete-element method study
This research pioneers a stochastic discrete-element method (DEM) by integrating the
probability density evolution method (PDEM), offering a novel approach to connect particle …
probability density evolution method (PDEM), offering a novel approach to connect particle …