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 …

Since the well-known Millennium bridge accident happened at the beginning of this century,
both researchers and engineers realized that the human-induced vibration may lead to …

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 conjunction with the formulation of random functions, a family of renewed spectral
representation schemes is proposed. The selected random function serves as a random …

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 …

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 …

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 …

High-dimensional reliability analysis is still an open challenge in structural reliability
community. To address this problem, a new sampling approach, named the good lattice …

In the recent decade, the reliability analysis of a stochastic system coupled with the
uncertainty related to the system's parameter has attracted much attention. Probability …