Free vibrations of nonlocally elastic rods
From MaRDI portal
Publication:3304255
DOI10.1177/1081286518785942zbMath1440.74161OpenAlexW2883159941WikidataQ129561165 ScholiaQ129561165MaRDI QIDQ3304255
E. Avdeichik, Danila A. Prikazchikov
Publication date: 5 August 2020
Published in: Mathematics and Mechanics of Solids (Search for Journal in Brave)
Full work available at URL: http://eprints.keele.ac.uk/5407/1/Paper1-MAP-modif03.06.pdf
asymptotic methodnatural frequenciesnanorodEringen's nonlocal elasticityfree longitudinal vibrationstwo-phase integral model
Rods (beams, columns, shafts, arches, rings, etc.) (74K10) Vibrations in dynamical problems in solid mechanics (74H45) Micromechanics of solids (74M25)
Related Items (5)
Free vibration analysis of nonlocal nanobeams: a comparison of the one-dimensional nonlocal integral Timoshenko beam theory with the two-dimensional nonlocal integral elasticity theory ⋮ On governing equations for a nanoplate derived from the 3D gradient theory of elasticity ⋮ Two-phase nonlocal integral models with a bi-Helmholtz averaging kernel for nanorods ⋮ Eigenfrequencies of microtubules embedded in the cytoplasm by means of the nonlocal integral elasticity ⋮ A study of free high-frequency vibrations of an inhomogeneous nanorod, based on the nonlocal theory of elasticity
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Nonlocal theories for bending, buckling and vibration of beams
- Edge dislocation in nonlocal elasticity
- A unified integro-differential nonlocal model
- Bending of Euler-Bernoulli beams using Eringen's integral formulation: a paradox resolved
- Screw dislocation in nonlocal anisotropic elasticity
- Closed form solution for a nonlocal elastic bar in tension.
- Free localized vibrations of a long double-walled carbon nanotube introduced into an inhomogeneous elastic medium
- Elasticity theory of materials with long range cohesive forces
- Protoelastic bodies with large deformation
- On the thermodynamics of system with nonlocality
- Nonlocal polar elastic continua
- Linear theory of nonlocal elasticity and dispersion of plane waves
- On nonlocal elasticity
- Nonlocal Continuum Field Theories
- Exact solutions for the bending of Timoshenko beams using Eringen’s two-phase nonlocal model
- Free transverse vibrations of nano-to-micron scale beams
- Non-local elastic plate theories
- Beam equations for multi-walled carbon nanotubes derived from Flügge shell theory
- A non-local asymptotic theory for thin elastic plates
- Refined boundary conditions on the free surface of an elastic half-space taking into account non-local effects
This page was built for publication: Free vibrations of nonlocally elastic rods
