Nonlocal effects on the dynamic analysis of a viscoelastic nanobeam using a fractional Zener model
From MaRDI portal
Publication:1984981
DOI10.1016/j.apm.2019.04.029zbMath1481.74455OpenAlexW2939530886MaRDI QIDQ1984981
Publication date: 7 April 2020
Published in: Applied Mathematical Modelling (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.apm.2019.04.029
Laplace transformfractional Zener modelEuler-Bernoulli beam theoryfree vibration of nanobeamnonlocal nanobeam
Rods (beams, columns, shafts, arches, rings, etc.) (74K10) Statistical mechanics of nanostructures and nanoparticles (82D80)
Related Items
A mixed two-phase stress/strain driven elasticity: in applications on static bending, vibration analysis and wave propagation ⋮ Fractional operator viscoelastic models in dynamic problems of mechanics of solids: a review ⋮ Dynamics of fractional-order multi-beam mass system excited by base motion
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Nonlocal viscoelasticity based vibration of double viscoelastic piezoelectric nanobeam systems
- What is a fractional derivative?
- Nonlinear vibration analysis of double-walled carbon nanotubes based on nonlocal elasticity theory
- Nonlocal theories for bending, buckling and vibration of beams
- Application of numerical inverse Laplace transform algorithms in fractional calculus
- Storage and dissipation of energy in Prabhakar viscoelasticity
- Dynamic characteristics of damped viscoelastic nonlocal Euler-Bernoulli beams
- A comment on some new definitions of fractional derivative
- Approximate analytical solution for seepage flow with fractional derivatives in porous media
- Fractional relaxation processes and fractional rheological models for the description of a class of viscoelastic materials.
- On transient waves in linear viscoelasticity
- Prabhakar-like fractional viscoelasticity
- No nonlocality. No fractional derivative
- Nonlinear dynamic analysis of viscoelastic beams using a fractional rheological model
- Fractional and operational calculus with generalized fractional derivative operators and Mittag–Leffler type functions
- Nonlocal Continuum Field Theories
- Fractional calculus - A different approach to the analysis of viscoelastically damped structures
- Vibrations of an infinite viscoelastic layer with a dissipative memory
- Nonlocal vibration of a fractional order viscoelastic nanobeam with attached nanoparticle
- Fractional Calculus
