Damped vibration of a nonlocal nanobeam resting on viscoelastic foundation: fractional derivative model with two retardation times and fractional parameters
From MaRDI portal
Publication:2014546
DOI10.1007/S11012-016-0417-ZzbMath1416.74077OpenAlexW2335408357MaRDI QIDQ2014546
Mihailo Lazarević, Danilo Karličić, Milan Cajić
Publication date: 25 August 2017
Published in: Meccanica (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s11012-016-0417-z
Related Items (6)
A new collection of real world applications of fractional calculus in science and engineering ⋮ Suppression of Sommerfeld effect in a non-ideal discrete rotor system with fractional order external damping ⋮ Application of the generalized Hooke's law for viscoelastic materials (GHVMs) in nanoscale mass sensing applications of viscoelastic nanoplates: a theoretical study ⋮ Analytical solutions for multi-term time-space fractional partial differential equations with nonlocal damping terms ⋮ Fractional-order model for the vibration of a nanobeam influenced by an axial magnetic field and attached nanoparticles ⋮ The fractional derivative expansion method in nonlinear dynamic analysis of structures
Uses Software
Cites Work
- Unnamed Item
- Nonlocal viscoelasticity based vibration of double viscoelastic piezoelectric nanobeam systems
- Some variants of the method of fundamental solutions: regularization using radial and nearly radial basis functions
- Fractional visco-elastic Timoshenko beam from elastic Euler-Bernoulli beam
- Nonlocal theories for bending, buckling and vibration of beams
- Numerical approaches to fractional calculus and fractional ordinary differential equation
- Vibrations of an elastic rod on a viscoelastic foundation of complex fractional Kelvin-Voigt type
- Analysis of free vibrations of a viscoelastic oscillator via the models involving several fractional parameters and relaxation/retardation times
- Non-local continuum mechanics and fractional calculus
- Fractional differential equations. An introduction to fractional derivatives, fractional differential equations, to methods of their solution and some of their applications
- A nonlocal beam theory for bending, buckling, and vibration of nanobeams
- Dynamic characteristics of damped viscoelastic nonlocal Euler-Bernoulli beams
- Nonlinear vibration analysis of Timoshenko nanobeams based on surface stress elasticity theory
- Fractional calculus via functional calculus: Theory and applications
- Nonlocal effects on the longitudinal vibration of a complex multi-nanorod system subjected to the transverse magnetic field
- The transversal creeping vibrations of a nonhomogeneous beam with fractional derivative order constitutive relation
- Nano- and viscoelastic Beck's column on elastic foundation
- Integral representations of \(\owns_{\gamma}\) functions and their application to problems in linear viscoelasticity
- On nonlocal elasticity
- Non-Local Structural Mechanics
- Nonlocal Continuum Field Theories
- ANALYSIS OF FOUR-PARAMETER FRACTIONAL DERIVATIVE MODEL OF REAL SOLID MATERIALS
- Applications of Fractional Calculus to the Theory of Viscoelasticity
- Fractional calculus - A different approach to the analysis of viscoelastically damped structures
- A Theoretical Basis for the Application of Fractional Calculus to Viscoelasticity
- Fractional calculus in the transient analysis of viscoelastically damped structures
- On the Fractional Calculus Model of Viscoelastic Behavior
- Nonlocal vibration of a fractional order viscoelastic nanobeam with attached nanoparticle
- Space–time fractional Zener wave equation
- Fractional Calculus With Applications in Mechanics
- Fractional Calculus with Applications in Mechanics
This page was built for publication: Damped vibration of a nonlocal nanobeam resting on viscoelastic foundation: fractional derivative model with two retardation times and fractional parameters
