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 …

Response of nonlinear oscillators with fractional derivative elements under evolutionary stochastic excitations: A path integral approach based on Laplace's method of …

A Di Matteo - Probabilistic Engineering Mechanics, 2023 - Elsevier
In this paper, an approximate analytical technique is developed for determining the non-
stationary response amplitude probability density function (PDF) of nonlinear/hysteretic …

Stochastic P-bifurcation and stochastic resonance in a noisy bistable fractional-order system

JH Yang, MAF Sanjuán, HG Liu, G Litak, X Li - … in Nonlinear Science and …, 2016 - Elsevier
We investigate the stochastic response of a noisy bistable fractional-order system when the
fractional-order lies in the interval (0, 2]. We focus mainly on the stochastic P-bifurcation and …

Approximate survival probability determination of hysteretic systems with fractional derivative elements

A Di Matteo, PD Spanos, A Pirrotta - Probabilistic Engineering Mechanics, 2018 - Elsevier
A Galerkin scheme-based approach is developed for determining the survival probability
and first-passage probability of a randomly excited hysteretic systems endowed with …

Free vibration analysis of a pre-twisted sandwich blade with thermal barrier coatings layers

DX Cao, BY Liu, MH Yao, W Zhang - Science China Technological …, 2017 - Springer
A rotating cantilever sandwich-plate model with a pre-twisted and pre-set angle has been
developed to investigate the vibrational behavior of an aero-engine turbine blade with …

Galerkin scheme-based determination of survival probability of oscillators with fractional derivative elements

PD Spanos, A Di Matteo… - Journal of Applied …, 2016 - asmedigitalcollection.asme.org
In this paper, an approximate semi-analytical approach is developed for determining the first-
passage probability of randomly excited linear and lightly nonlinear oscillators endowed …

Stochastic analysis of a hybrid energy harvester with viscoelastic material

YG Yang, ML Huang, SL Guo, YH Sun - Mechanical Systems and Signal …, 2023 - Elsevier
The hybrid energy conversion mechanism can improve the performance of the energy
harvester compared to the single energy conversion mechanism. Meanwhile, the use of …

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 …

A piezoelectric energy harvester based on internal resonance

L Chen, W Jiang - Acta Mechanica Sinica, 2015 - Springer
A vibration-based energy harvester is essentially a resonator working in a limited frequency
range. To increase the working frequency range is a challenging problem. This paper …

Global dynamical analysis of the integer and fractional 4D hyperchaotic Rabinovich system

L Ren, MH Lin, A Abdulwahab, J Ma… - Chaos, Solitons & …, 2023 - Elsevier
In this paper, the dynamical behavior of integer and fractional 4D hyperchaotic Rabinovich
system is studied. We use the Lagrange coefficient method to solve an optimization problem …