This paper addresses a sliding mode control (SMC) for an airfoil model excited by a
combination of harmonic force and colored Gaussian noise. Firstly, to reveal effects of …

In this paper, a new technique is proposed to deal with strongly nonlinear stochastic systems
with fractional derivative damping and random harmonic excitation. Combining the …

The stochastic response of a class of self-excited systems with Caputo-type fractional
derivative driven by Gaussian white noise is considered. Firstly, the generalized harmonic …

A simple, but very accurate analytical method for forced Mathieu oscillator is proposed, the
idea of which is based on the method of variation of parameter. Assuming that the time …

This study is devoted to the analysis of the three-to-one internal resonance in a two degree-
of-freedom system with cubic nonlinearity. Quasi-periodic motion is found to appear in the …

The nonlinear dynamical response of a simply supported viscoelastic beam subjected to
transverse harmonic excitations is investigated. The constitutive law of the viscoelastic beam …

The vibration from gear engagement is the main source of the noise and vibration of
reducers under heavy load and high speed. In order to dissipate the energy as well as …

Stochastic fractional‐order systems or stochastic vibro‐impact systems can present rich
dynamical behaviors, and lots of studies dealing with stochastic fractional‐order systems or …

The modeling of traditional shafting systems mainly pays attention to the running states in
the small fluctuations. However, the dynamic behaviors of the shafting system for a water jet …

This paper aims to investigate the stochastic response of the van der Pol (VDP) oscillator
with two kinds of fractional derivatives under Gaussian white noise excitation. First, the …