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 …

A novel approach for nonlinear stochastic dynamic analysis is proposed and illustrated with
nonlinear building structures subjected to mainshock–aftershock sequences. First, a …

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 …

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 …

An efficient reliability method that combines adaptive Polynomial-Chaos Kriging (PC-
Kriging) and probability density evolution method (PDEM) is developed, which is …

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 …

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 …

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 …

Significant uncertainty exists in granular materials, as demonstrated by experimental and
simulation studies. Quantifying this uncertainty by integrating refined discrete element …

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 …