Nonlinear vibration of fractional Kelvin–Voigt viscoelastic beam on nonlinear elastic foundation

M Javadi, M Rahmanian - … in Nonlinear Science and Numerical Simulation, 2021 - Elsevier
The main objective of the present study is to analyze the nonlinear vibration behavior of
fractional Kelvin–Voigt viscoelastic beams on a nonlinear elastic foundation under harmonic …

Spectrum-based stability analysis for fractional-order delayed resonator with order scheduling

J Cai, Y Liu, Q Gao, YQ Chen - Journal of Sound and Vibration, 2023 - Elsevier
We consider the stability analysis and controller design for a novel active vibration
suppression technique, what we call the fractional-order delayed resonator (FODR), to …

Distributed adaptive neural network consensus control of fractional-order multi-agent systems with unknown control directions

H Qiu, I Korovin, H Liu, S Gorbachev, N Gorbacheva… - Information …, 2024 - Elsevier
In this work, adaptive consensus control of leader-following fractional-order multi-agent
systems whose each subsystem includes functional uncertainties, external disturbances …

A fractional viscoelastic model for vibrational analysis of thin plate excited by supports movement

J Rouzegar, M Vazirzadeh, MH Heydari - Mechanics Research …, 2020 - Elsevier
In this paper, a fractional viscoelastic model is presented for vibration analysis of a fully
simply supported plate excited by the supports movement. To govern the steady-state …

[HTML][HTML] A contour method for time-fractional PDEs and an application to fractional viscoelastic beam equations

MJ Colbrook, LJ Ayton - Journal of Computational Physics, 2022 - Elsevier
We develop a rapid and accurate contour method for the solution of time-fractional PDEs.
The method inverts the Laplace transform via an optimised stable quadrature rule, suitable …

[HTML][HTML] Three-dimensional fractographic analysis of total fracture areas in 6082 aluminium alloy specimens under fatigue bending with controlled damage degree

W Macek, R Owsiński, J Trembacz, R Branco - Mechanics of Materials, 2020 - Elsevier
Non-destructive methods are powerful tools in modern industry to assess the structural
integrity of engineering critical parts subjected to fatigue loading. This paper proposes a …

Nonlinear dynamics of fractional viscoelastic PET membranes with linearly varying density

J Qing, S Zhou, J Wu, M Shao - Communications in Nonlinear Science and …, 2023 - Elsevier
In this paper, the nonlinear dynamics of fractional viscoelastic polyethylene terephthalate
(PET) membranes with linearly varying density are elaborated. The viscoelasticities of the …

[HTML][HTML] Fractional viscoelastic models for the estimation of the frequency response of rubber bushings based on relaxation tests

J Calaf-Chica, V Cea-González, MJ García-Tárrago… - Results in …, 2023 - Elsevier
Estimation of the viscoelastic properties of rubber bushings at very high frequencies (up to 2
kHz) is a challenge for many dam** component manufacturers in the design stage of a …

Bernstein polynomials in analyzing nonlinear forced vibration of curved fractional viscoelastic beam with viscoelastic boundaries

N Mohamed, MA Eltaher, SA Mohamed, E Carrera - Acta Mechanica, 2024 - Springer
In this paper, an effective numerical Bernstein polynomials operational matrix is exploited to
study the nonlinear forced vibration of fractional viscoelastic curved beam with viscoelastic …

Investigating fractional dam** effect on Euler–Bernoulli beam subjected to a moving load

R AlSaleh, A Nasir, I Abu-Alshaikh - Shock and Vibration, 2023 - Wiley Online Library
In this work, the dynamic response of Euler–Bernoulli beams of four different boundary
conditions with fractional order internal dam** under a traversing moving load is …