Fractional-order model for the vibration of a nanobeam influenced by an axial magnetic field and attached nanoparticles

DOI10.1007/S00707-018-2263-7zbMath1430.74121OpenAlexW2893183627WikidataQ129197895 ScholiaQ129197895MaRDI QIDQ2296303

Milan Cajić, Danilo Karličić, Mihailo Lazarević, Hong-Guang Sun, XiaoTing Liu

Publication date: 18 February 2020

Published in: Acta Mechanica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00707-018-2263-7

zbMATH Keywords

dampingmagnetic fieldnonlocal elasticitynanobeamsfractional viscoelasticitymass nanosensor

Mathematics Subject Classification ID

Rods (beams, columns, shafts, arches, rings, etc.) (74K10) Vibrations in dynamical problems in solid mechanics (74H45) Micromechanics of solids (74M25) Electromagnetic effects in solid mechanics (74F15) Fractional derivatives and integrals (26A33)

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Cites Work

• Unnamed Item
• Nonlocal viscoelasticity based vibration of double viscoelastic piezoelectric nanobeam systems
• Fractional derivatives and strain gradient elasticity
• Buckling of elastic beams on non-local foundation: a revisiting of Reissner model
• A non-local two-dimensional foundation model
• Analysis of free vibrations of a viscoelastic oscillator via the models involving several fractional parameters and relaxation/retardation times
• Fractional calculus via functional calculus: Theory and applications
• Damped vibration of a nonlocal nanobeam resting on viscoelastic foundation: fractional derivative model with two retardation times and fractional parameters
• Linear and nonlinear vibrations of fractional viscoelastic Timoshenko nanobeams considering surface energy effects
• Studying linear and nonlinear vibrations of fractional viscoelastic Timoshenko micro-/nano-beams using the strain gradient theory
• Nano- and viscoelastic Beck's column on elastic foundation
• On nonlocal elasticity
• Non-Local Structural Mechanics
• Vibration analysis of beams with non-local foundations using the finite element method
• Nonlocal vibration of a fractional order viscoelastic nanobeam with attached nanoparticle
• Vibration Frequencies for Uniform Beams With Central Masses
• Fractional Calculus With Applications in Mechanics
• On the Vibration of Beams or Rods Carrying a Concentrated Mass
• Some remarks on a class of eigenvalue problems with special boundary conditions

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