In this paper a recently developed technique relying on the globally-evolving-based
generalized density evolution equation (GE-GDEE) is extended. It is applied to determining …

Stochastic fractional differential systems are important and useful in the mathematics,
physics, and engineering fields. However, the determination of their probabilistic responses …

This contribution proposes an effective reliability-based topology optimization (RBTO)
framework for the layout of viscoelastic dampers of energy-dissipating structures under …

Nonstationary random vibration problems of nonlinear fractional systems are challenging
and drawing increasing attention. This study presents an efficient numerical method for the …

In this paper, a computationally efficient approach is proposed for the determination of the
nonstationary response statistics of hysteretic oscillators endowed with fractional derivative …

Due to the inherent randomness of track irregularity excitation, the dynamic analysis of the
train-bridge system (TBS) is essentially a random vibration problem. This paper presents a …

The dynamic performance of maglev vehicle-bridge coupled systems subjected to random
guideway irregularity, especially the levitation stability of the running vehicle subsystem, is a …

Due to the enhancement of seismic design standards, viscoelastic dampers have seen rapid
development and application in bridge structures. At present, there are few researches in the …

An approximate technique is presented for determining the statistics of the response
envelope of lightly-damped nonlinear oscillators endowed with fractional derivative …