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 …

Current surrogate modeling methods for time-dependent reliability analysis implement a
double-loop procedure, with the computation of extreme value response in the outer loop …

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 …

The idea of equivalent extreme-value event and accordingly a new approach to evaluate the
structural system reliability are elaborated. For any type of compound random event as …

The present paper aims to provide a uniform and rigorous theoretical basis for the family of
newly developed probability density evolution method. Conservation laws are among the …

Various numerical methods have been extensively studied and used for reliability analysis
over the past several decades. However, how to understand the effect of numerical …

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 …

A new approach for evaluation of the extreme value distribution and dynamic reliability
assessment of nonlinear structures with uncertain parameters is proposed. The approach is …

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 …

A strategy of determining representative point sets through the number theoretical method
(NTM) in analysis of nonlinear stochastic structures is proposed. The newly developed …