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 …

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 …

This study aims to develop a rotational sparse grid (R-SPGR) method for statistical moment
evaluation and structural reliability analysis with enhanced accuracy and efficiency. The …

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 …

This paper presents a new bivariate dimension reduction method (BDRM) for statistical
moments evaluation and structural reliability analysis with accuracy and efficiency. A high …

In engineering practice, the evaluation of seismic reliability of high-rise reinforced concrete
structure relies on the probabilistic modelling of material properties. However, the measured …

An efficient reliability method, ie, AGM-PDEM, is presented which combines the adaptive
global metamodel (AGM) and the probability density evolution method (PDEM). The global …

The approximation of the probability density function (PDF) of the performance function,
especially for the tail distribution, is of paramount importance in structural reliability analysis …

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 …

Reasonable point set selection is of paramount importance to the accuracy of high-
dimensional integrals that will be encountered in various disciplines. In the present paper, to …