Natural vibrations of nanostrips with cracks

DOI10.12697/ACUTM.2021.25.06zbMath1479.74048OpenAlexW3188022989MaRDI QIDQ3385451

Jaan Lellep, Mainul Hossain

Publication date: 18 December 2021

Published in: Acta et Commentationes Universitatis Tartuensis de Mathematica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.12697/acutm.2021.25.06

zbMATH Keywords

rotatory inertiacrack tipstress intensity factornanoplatenonlinear beam modelnatural vibration frequencylocal flexibility

Mathematics Subject Classification ID

Rods (beams, columns, shafts, arches, rings, etc.) (74K10) Singularities, blow-up, stress concentrations for dynamical problems in solid mechanics (74H35) Brittle fracture (74R10) Vibrations in dynamical problems in solid mechanics (74H45) Plates (74K20) Micromechanics of solids (74M25)

Related Items (1)

Natural vibrations of curved nano-beams and nano-arches

Cites Work

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• Analytical methods in rotor dynamics
• Nonlocal theories for bending, buckling and vibration of beams
• Bending of Euler-Bernoulli beams using Eringen's integral formulation: a paradox resolved
• On boundary conditions for buckling and vibration of nonlocal beams
• A nonlocal beam theory for bending, buckling, and vibration of nanobeams
• Vibration of nanobeams of different boundary conditions with multiple cracks based on nonlocal elasticity theory
• Variational approach to dynamic analysis of third-order shear deformable plates within gradient elasticity
• On nonlocal elasticity
• Strain and velocity gradient theory for higher-order shear deformable beams
• ANALYTICAL SOLUTIONS FOR VIBRATION OF SIMPLY SUPPORTED NONLOCAL NANOBEAMS WITH AN AXIAL FORCE
• Nonlocal Continuum Field Theories
• Post buckling behavior of transverse cracked columns
• Natural vibrations of stepped nanobeams with defects
• Nonlocal elasticity and related variational principles

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