Natural vibrations of curved nano-beams and nano-arches

DOI10.12697/ACUTM.2022.26.05zbMath1495.74023arXiv2108.09068OpenAlexW3195823354MaRDI QIDQ5092975

Jaan Lellep, Shahid Mubasshar

Publication date: 26 July 2022

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

Full work available at URL: https://arxiv.org/abs/2108.09068

zbMATH Keywords

parametric investigationseparation of variables methodnatural frequencycrack effectmethod of weightless rotating spring

Mathematics Subject Classification ID

Rods (beams, columns, shafts, arches, rings, etc.) (74K10) Brittle fracture (74R10) Vibrations in dynamical problems in solid mechanics (74H45) Micromechanics of solids (74M25)

Cites Work

• Unnamed Item
• Unnamed Item
• Nonlocal theories for bending, buckling and vibration of beams
• Nonlocal nonlinear formulations for bending of classical and shear deformation theories of beams and plates
• Exact solution and stability of postbuckling configurations of beams
• On non-linear flexure of beams based on non-local elasticity theory
• A review on the mechanics of nanostructures
• A nonlocal beam theory for bending, buckling, and vibration of nanobeams
• A general nonlocal nonlinear model for buckling of nanobeams
• Vibration of nanobeams of different boundary conditions with multiple cracks based on nonlocal elasticity theory
• On nonlocal elasticity
• Nonlocal Continuum Field Theories
• Natural vibrations of nanostrips with cracks
• Natural vibrations of stepped nanobeams with defects
• A CONTINUOUS CRACKED BEAM VIBRATION THEORY