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 …

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 …

Random function based spectral representation of stationary and non-stationary stochastic processes

Z Liu, W Liu, Y Peng - Probabilistic Engineering Mechanics, 2016 - Elsevier
In conjunction with the formulation of random functions, a family of renewed spectral
representation schemes is proposed. The selected random function serves as a random …

Advances of the probability density evolution method for nonlinear stochastic systems

J Li, J Chen, W Sun, Y Peng - Probabilistic Engineering Mechanics, 2012 - Elsevier
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 …

[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 …

Probabilistic interval analysis for structures with uncertainty

W Gao, C Song, F Tin-Loi - Structural Safety, 2010 - Elsevier
A hybrid probabilistic and interval method for engineering problems described by a mixture
of random and interval variables is presented. Random interval arithmetic for carrying out …

Comparison of PDEM and MCS: Accuracy and efficiency

J Li, D Wang - Probabilistic Engineering Mechanics, 2023 - Elsevier
The accuracy and efficiency of two methods for stochastic analysis, the probability density
evolution method (PDEM) and the Monte Carlo simulation (MCS) method, are compared in …

Stochastic seismic performance assessment of high CFRDs based on generalized probability density evolution method

R Pang, B Xu, D Zou, X Kong - Computers and Geotechnics, 2018 - Elsevier
Determining the failure probabilities of high concrete-faced rockfill dams (CFRDs) is an
important component of seismic performance assessment, considering the randomness of …

Dimension reduction of Karhunen-Loeve expansion for simulation of stochastic processes

Z Liu, Z Liu, Y Peng - Journal of Sound and Vibration, 2017 - Elsevier
Abstract Conventional Karhunen-Loeve expansions for simulation of stochastic processes
often encounter the challenge of dealing with hundreds of random variables. For breaking …

Stochastic dynamic response and reliability assessment of controlled structures with fractional derivative model of viscoelastic dampers

J Xu, J Li - Mechanical Systems and Signal Processing, 2016 - Elsevier
Viscoelastic dampers, where fractional derivatives are involved, are often considered for use
to mitigate dynamic response of structures. However, it is not an easy task to obtain the …