The consideration of imprecise probability in engineering analysis to account for missing,
vague or incomplete data in the description of model uncertainties is a fast-growing field of …

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 …

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

Vibration control is an important problem in practical engineering. Optimal control is widely
used, but the uncertainties in practical engineering may lead to the failure of the system. 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 multiple uncertainties of soil properties and ground motions significantly affect the
seismic response of high concrete face rockfill dams (CFRDs). Three types of randomness …

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 …

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 …