On the analysis of the tristable vibration isolation system with delayed feedback control under parametric excitation

D Huang, S Zhou, R Li, D Yurchenko - Mechanical Systems and Signal …, 2022 - Elsevier
In this paper, the delayed feedback control of a tristable vibration isolation system (TVIS)
under the stochastic parametric excitation is investigated. Firstly, theoretical solutions of the …

Bistability and stochastic jumps in an airfoil system with viscoelastic material property and random fluctuations

Q Liu, Y Xu, J Kurths - … in Nonlinear Science and Numerical Simulation, 2020 - Elsevier
The purpose of this paper is to explore analytically the influences of random fluctuations on
a two-degrees-of-freedom (TDOF) airfoil model with viscoelastic terms. To begin with, a …

Responses of Duffing oscillator with fractional damping and random phase

Y Xu, Y Li, D Liu, W Jia, H Huang - Nonlinear Dynamics, 2013 - Springer
This paper aims to investigate dynamic responses of stochastic Duffing oscillator with
fractional-order damping term, where random excitation is modeled as a harmonic function …

[HTML][HTML] Transverse free vibration and stability of axially moving nanoplates based on nonlocal elasticity theory

JJ Liu, C Li, XL Fan, LH Tong - Applied Mathematical Modelling, 2017 - Elsevier
Transverse dynamical behaviors of axially moving nanoplates which could be used to model
the graphene nanosheets or other plate-like nanostructures with axial motion are examined …

Nonlinear dynamics of axially moving viscoelastic Timoshenko beam under parametric and external excitations

Q Yan, H Ding, L Chen - Applied Mathematics and Mechanics, 2015 - Springer
This investigation focuses on the nonlinear dynamic behaviors in the transverse vibration of
an axially accelerating viscoelastic Timoshenko beam with the external harmonic excitation …

Primary resonance of traveling viscoelastic beam under internal resonance

H Ding, L Huang, X Mao, L Chen - Applied Mathematics and Mechanics, 2017 - Springer
Under the 3: 1 internal resonance condition, the steady-state periodic response of the forced
vibration of a traveling viscoelastic beam is studied. The viscoelastic behaviors of the …

Active vibration suppression of a novel airfoil model with fractional order viscoelastic constitutive relationship

Q Liu, Y Xu, J Kurths - Journal of Sound and vibration, 2018 - Elsevier
This paper aims to investigate the active vibration suppression of a fractional two-degree-of-
freedom viscoelastic airfoil (TDOFVA) model with a harmonic external force by means of the …

Randomly-disordered-periodic-induced chaos in a piezoelectric vibration energy harvester system with fractional-order physical properties

D Liu, Y Xu, J Li - Journal of Sound and Vibration, 2017 - Elsevier
The chaotic behavior of the piezoelectric vibration energy harvester (VEH) system with
fractional order physical properties under randomly disordered periodic excitations is …

Response of fractional oscillators with viscoelastic term under random excitation

Y Xu, Y Li, D Liu - Journal of Computational and …, 2014 - asmedigitalcollection.asme.org
A system with fractional damping and a viscoelastic term subject to narrow-band noise is
considered in this paper. Based on the revisit of the Lindstedt–Poincaré (LP) and multiple …

Frequencies of transverse vibration of an axially moving viscoelastic beam

H Ding, YQ Tang, LQ Chen - Journal of Vibration and …, 2017 - journals.sagepub.com
One important issue in the investigation of axially moving systems is the viscoelastic
constitutive relation. In the present paper, the effects of viscosity on the natural frequency of …