Vibration and wave propagation analysis of twisted micro-beam using strain gradient theory

DOI10.1007/S10483-016-2138-9zbMath1367.74020OpenAlexW2530034453MaRDI QIDQ2363714

M. J. Farahi, M. Mohammadimehr, Sajad Alimirzaei

Publication date: 26 July 2017

Published in: AMM. Applied Mathematics and Mechanics. (English Edition) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10483-016-2138-9

zbMATH Keywords

rate of twist anglestrain gradient theory (SGT)twisted micro-beamvibration and wave propagation analysis

Mathematics Subject Classification ID

Rods (beams, columns, shafts, arches, rings, etc.) (74K10) Vibrations in dynamical problems in solid mechanics (74H45) Micromechanical theories (74A60) Linear waves in solid mechanics (74J05) Analysis of microstructure in solids (74N15)

Related Items (7)

Torsional static and vibration analysis of functionally graded nanotube with bi-Helmholtz kernel based stress-driven nonlocal integral model ⋮ Size-dependent vibration analysis of nanobeams based on the nonlocal strain gradient theory ⋮ Influence of magnetic field on the wave propagation response of functionally graded (FG) beam lying on elastic foundation in thermal environment ⋮ Effects of residual stress and viscous and hysteretic dampings on the stability of a spinning micro-shaft ⋮ Vibration of fluid-conveying nanotubes subjected to magnetic field based on the thin-walled Timoshenko beam theory ⋮ Deep postbuckling and nonlinear bending behaviors of nanobeams with nonlocal and strain gradient effects ⋮ Analytical solutions for buckling of size-dependent Timoshenko beams

Cites Work

• Size-dependent effect on biaxial and shear nonlinear buckling analysis of nonlocal isotropic and orthotropic micro-plate based on surface stress and modified couple stress theories using differential quadrature method
• A size-dependent Kirchhoff micro-plate model based on strain gradient elasticity theory
• Wave propagation in single-walled carbon nanotube under longitudinal magnetic field using nonlocal Euler-Bernoulli beam theory
• The dynamic stability of a rotating pre-twisted asymmetric cross-section Timoshenko beam subjected to lateral parametric excitation
• Free transverse vibration of an axially loaded non-uniform spinning twisted Timoshenko beam using differential transform
• Wave propagation characteristics of a twisted micro scale beam
• Generalized coordinate for warping of naturally curved and twisted beams with general cross-sectional shapes
• Free vibration analysis of a twisted beam using the dynamic stiffness method

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