Geometrically nonlinear analysis of Timoshenko piezoelectric nanobeams with flexoelectricity effect based on Eringen's differential model

DOI10.1016/j.apm.2019.01.001zbMath1461.74042OpenAlexW2909763264MaRDI QIDQ2310560

Yanyan Li

Publication date: 6 April 2020

Published in: Applied Mathematical Modelling (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.apm.2019.01.001

zbMATH Keywords

postbucklingmultiple scales methodnonlinear vibrationnonlocal elasticity

Mathematics Subject Classification ID

Rods (beams, columns, shafts, arches, rings, etc.) (74K10) Vibrations in dynamical problems in solid mechanics (74H45) Micromechanics of solids (74M25) Bifurcation and buckling (74G60) Electromagnetic effects in solid mechanics (74F15)

Related Items (6)

On geometrically nonlinear mechanics of nanocomposite beams ⋮ Nonlinear thickness-shear vibration of an infinite piezoelectric plate with flexoelectricity based on the method of multiple scales ⋮ Forced torsional vibration of nanobeam via nonlocal strain gradient theory and surface energy effects under moving harmonic torque ⋮ Vibration suppression of thick plates with attached piezoelectric patches using 1D Carrera Unified Formulation (CUF) based finite element models ⋮ Dynamic analysis of flexoelectric systems in the frequency domain with isogeometric analysis ⋮ Nonlinear random vibrations of functionally graded porous nanobeams using equivalent linearization method

Cites Work

• Unnamed Item
• Free vibration analysis of functionally graded size-dependent nanobeams
• A theory of flexoelectricity with surface effect for elastic dielectrics
• Nonlocal theories for bending, buckling and vibration of beams
• Flexoelectric effect on vibration responses of piezoelectric nanobeams embedded in viscoelastic medium based on nonlocal elasticity theory
• Nonlocal elasticity in nanobeams: the stress-driven integral model
• Nonlocal integral elasticity in nanostructures, mixtures, boundary effects and limit behaviours
• Nonlinear vibration analysis of Timoshenko nanobeams based on surface stress elasticity theory
• Effect of surface stress and surface-induced stress on behavior of piezoelectric nanobeam

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