Nonlinear bending and forced vibrations of axially functionally graded tapered microbeams

DOI10.1016/j.ijengsci.2017.03.010zbMath1423.74393OpenAlexW2725779610MaRDI QIDQ1625003

Hamed Farokhi, Mohammad Tavallaeinejad, Mergen H. Ghayesh, Alireza Gholipour

Publication date: 28 November 2018

Published in: International Journal of Engineering Science (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.ijengsci.2017.03.010

zbMATH Keywords

forced nonlinear vibrationbendingmodified couple stress theory (MCST)axially functionally graded materialtapered microbeam

Mathematics Subject Classification ID

Rods (beams, columns, shafts, arches, rings, etc.) (74K10) Vibrations in dynamical problems in solid mechanics (74H45) Stability of dynamical problems in solid mechanics (74H55)

Related Items (23)

On nonlinear stability of fluid-conveying imperfect micropipes ⋮ On buckling and postbuckling behavior of nanotubes ⋮ Nonlinear mechanics of electrically actuated microplates ⋮ Dynamics of functionally graded viscoelastic microbeams ⋮ Nonlocal nonlinear analysis of functionally graded plates using third-order shear deformation theory ⋮ On vibrations of functionally graded viscoelastic nanobeams with surface effects ⋮ Nonlinear mechanical behaviour of microshells ⋮ On the viscoelastic dynamics of fluid-conveying microtubes ⋮ On vibration of functionally graded nano-tubes in the thermal environment ⋮ Nonlinear mechanics of nanotubes conveying fluid ⋮ A review on the mechanics of nanostructures ⋮ On viscoelastic transient response of magnetically imperfect functionally graded nanobeams ⋮ Wave dispersion of nanobeams incorporating stretching effect ⋮ Nonlinear coupled mechanics of functionally graded nanobeams ⋮ A review on the mechanics of functionally graded nanoscale and microscale structures ⋮ Size‐dependent Levinson beam theory for thermal vibration of a nanobeam with deformable boundary conditions ⋮ On vibrations of FG nanobeams ⋮ Global dynamics of fluid conveying nanotubes ⋮ On nonlinear bending behavior of FG porous curved nanotubes ⋮ Viscoelastic dynamics of axially FG microbeams ⋮ Size-dependent forced vibration of non-uniform bi-directional functionally graded beams embedded in variable elastic environment carrying a moving harmonic mass ⋮ Large-amplitude oscillations of composite conical nanoshells with in-plane heterogeneity including surface stress effect ⋮ Nonlinear dynamics of two-directional functionally graded microbeam with geometrical imperfection using unified shear deformable beam theory

Cites Work

• The size-dependent natural frequency of Bernoulli-Euler micro-beams
• Dynamic analysis of an embedded microbeam carrying a moving microparticle based on the modified couple stress theory
• Size-dependent response of ultra-thin films with surface effects
• Nonlinear forced vibrations of a microbeam based on the strain gradient elasticity theory
• Nonlinear dynamics of a geometrically imperfect microbeam based on the modified couple stress theory
• A size-dependent shear deformation beam model based on the strain gradient elasticity theory
• Thermo-mechanical dynamics of perfect and imperfect Timoshenko microbeams
• A geometrically nonlinear beam model based on the second strain gradient theory
• Nonlinear dynamics of cantilevered microbeams based on modified couple stress theory
• An investigation into size-dependent vibration damping characteristics of functionally graded viscoelastically damped sandwich microbeams
• Static bending and free vibration of a functionally graded piezoelectric microplate based on the modified couple-stress theory
• Analytical solutions for the size dependent buckling and postbuckling behavior of functionally graded micro-plates
• A size-dependent model for coupled 3D deformations of nonlinear microbridges
• On size-dependent lead-lag vibration of rotating microcantilevers
• Nonlinear vibration of axially functionally graded tapered microbeams
• Static behavior of bilayer microcantilevers under thermal actuation
• Nonlinear bending and free vibration analyses of nonlocal strain gradient beams made of functionally graded material
• On size-dependent Timoshenko beam element based on modified couple stress theory
• Viscoelastically coupled size-dependent dynamics of microbeams
• Size dependent dynamic behavior of electrostatically actuated microbridges
• Motion characteristics of bilayered extensible Timoshenko microbeams
• Nonlinear modeling and size-dependent vibration analysis of curved microtubes conveying fluid based on modified couple stress theory
• Nonlinear dynamics of microplates
• Strain gradient elasticity and modified couple stress models for buckling analysis of axially loaded micro-scaled beams
• A strain gradient functionally graded Euler-Bernoulli beam formulation
• Size-dependent elastic behavior of FGM ultra-thin films based on generalized refined theory

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