A study of free high-frequency vibrations of an inhomogeneous nanorod, based on the nonlocal theory of elasticity

DOI10.1134/S1063454121020060zbMath1471.74024OpenAlexW3193336699MaRDI QIDQ2047530

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Publication date: 20 August 2021

Published in: Vestnik St. Petersburg University. Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s1063454121020060

zbMATH Keywords

asymptotic methodintegro-differential equationWKB methodHelmholtz kernelnanosize rodtwo-phase nonlocal elasticity theory

Mathematics Subject Classification ID

Rods (beams, columns, shafts, arches, rings, etc.) (74K10) Analytic approximation of solutions (perturbation methods, asymptotic methods, series, etc.) of dynamical problems in solid mechanics (74H10) Vibrations in dynamical problems in solid mechanics (74H45) Micromechanics of solids (74M25) Elastic materials (74B99)

Related Items (1)

On governing equations for a nanoplate derived from the 3D gradient theory of elasticity

Cites Work

• Nonlocal theories for bending, buckling and vibration of beams
• Improved continuous models for discrete media
• Dynamics of a rod undergoing a longitudinal impact by a body
• Nonlocal Continuum Field Theories
• Free vibrations of nonlocally elastic rods

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