Explicit frequency equations of free vibration of a nonlocal Timoshenko beam with surface effects

DOI10.1007/S10409-018-0751-6zbMath1397.74095OpenAlexW2790740144MaRDI QIDQ1787491

Yao Zhang, Seng-Tjhen Lie, Hai-Sheng Zhao

Publication date: 5 October 2018

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

Full work available at URL: https://doi.org/10.1007/s10409-018-0751-6

zbMATH Keywords

Timoshenko beamFredholm integral equationnatural frequencynonlocal elasticitysurface effects

Mathematics Subject Classification ID

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

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Cites Work

• Surface stress effect on the vibration and instability of nanoscale pipes conveying fluid based on a size-dependent Timoshenko beam model
• Nonlocal vibration analysis of circular double-layered graphene sheets resting on an elastic foundation subjected to thermal loading
• A novel atomistic approach to determine strain-gradient elasticity constants: tabulation and comparison for various metals, semiconductors, silica, polymers and the (ir)relevance for nanotechnologies
• Vibration of nonlocal Kelvin-Voigt viscoelastic damped Timoshenko beams
• Bending of Euler-Bernoulli beams using Eringen's integral formulation: a paradox resolved
• Non-local analysis of free vibration of bi-directional functionally graded Euler-Bernoulli nano-beams
• Eringen's nonlocal theories of beams accounting for moderate rotations
• Nonlocal vibration and stability of a multiple-nanobeam system coupled by the Winkler elastic medium
• On nonlocal elasticity
• The second spectrum of Timoshenko beam theory—Further assessment
• On the two frequency spectra of Timoshenko beams
• Transverse Vibration of a Uniform, Simply Supported Timoshenko Beam Without Transverse Deflection

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