Analysis of free vibrations of a viscoelastic oscillator via the models involving several fractional parameters and relaxation/retardation times
From MaRDI portal
Publication:980161
DOI10.1016/j.camwa.2009.08.014zbMath1189.44001OpenAlexW2009436949MaRDI QIDQ980161
T. A. Shcheglova, Yury A. Rossikhin, Marina V. Shitikova
Publication date: 28 June 2010
Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.camwa.2009.08.014
Related Items (13)
Two approaches for studying the impact response of viscoelastic engineering systems: an overview ⋮ Book review of: J. Paneva-Konovska, From Bessel to multi-index Mittag-Leffler functions. Enumerable families, series in them and convergence. ⋮ Centennial jubilee of Academician Rabotnov and contemporary handling of his fractional operator ⋮ On generalized fractional vibration equation ⋮ FCAA Related News, Events and Books (FCAA–Volume 20–2–2017) ⋮ Vibrations of an elastic rod on a viscoelastic foundation of complex fractional Kelvin-Voigt type ⋮ Assessment of parameters of a fractional relaxation kernel modelling viscoelastic properties of the periodontal ligament ⋮ Fractional operator viscoelastic models in dynamic problems of mechanics of solids: a review ⋮ Analytical computation of the \({\mathcal H}_2\)-norm of fractional commensurate transfer functions ⋮ Dynamics of fractional-order multi-beam mass system excited by base motion ⋮ Damped vibration of a nonlocal nanobeam resting on viscoelastic foundation: fractional derivative model with two retardation times and fractional parameters ⋮ Mechanism of complicated volume deformation in polymers and its fractional time-based description ⋮ Fractional-order model for the vibration of a nanobeam influenced by an axial magnetic field and attached nanoparticles
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Dynamics of coupled systems
- Polynomial operators, Stieltjes convolution, and fractional calculus in hereditary mechanics
- Application of fractional derivatives to the analysis of damped vibrations of viscoelastic single mass systems
- Fractional-derivative viscoelastic model of the shock interaction of a rigid body with a plate
- Toward an equation of state for solid materials with memory by use of the half-order derivative
- Applications of Fractional Calculus to the Theory of Viscoelasticity
- Fractional calculus - A different approach to the analysis of viscoelastically damped structures
- Viscoelastic Behavior Analysis and Application of the Fractional Derivative Maxwell Model
This page was built for publication: Analysis of free vibrations of a viscoelastic oscillator via the models involving several fractional parameters and relaxation/retardation times