A powerful tool in computational stochastic mechanics is the stochastic finite element
method (SFEM). SFEM is an extension of the classical deterministic FE approach to the …

Gaussian (normal) distribution is a basic continuous probability distribution in statistics, it
plays a substantial role in scientific and engineering problems that related to stochastic …

A consistent seismic hazard and fragility framework considering combined capacity-demand
uncertainties is proposed, in light of the probability density evolution method (PDEM). The …

A probabilistic assessment is performed using different seismic fragility analysis approaches
for structures under non-stationary stochastic ground motions. Four commonly used …

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 …

An efficient algorithm to simulate turbulent, atmospheric or wind tunnel generated wind fields
is devised. The method is based on a model of the spectral tensor for atmospheric surface …

Artificial ground freezing (AGF) has been extensively applied in underground engineering
construction as a popular ground-support technique. In recent decades, a series of …

A spectral-representation-based simulation algorithm is used in this paper to generate
sample functions of a non-stationary, multi-variate stochastic process with evolutionary …

Generally, the static and dynamic reliabilities of structures are addressed separately in the
existing methods except the computationally expensive stochastic sampling-based …

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 …