Free vibration analysis of micro rotating beams based on the strain gradient theory using the differential transform method: Timoshenko versus Euler-Bernoulli beam models

DOI10.1016/j.euromechsol.2017.05.006zbMath1406.74280OpenAlexW2619204077MaRDI QIDQ1658698

Hadi Arvin

Publication date: 15 August 2018

Published in: European Journal of Mechanics. A. Solids (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.euromechsol.2017.05.006

zbMATH Keywords

size effectdifferential transform methodTimoshenko beam modelstrain gradient theoryEuler-Bernoulli beam modelmicro rotating beams

Mathematics Subject Classification ID

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

Related Items (6)

Effects of residual stress and viscous and hysteretic dampings on the stability of a spinning micro-shaft ⋮ Flapwise bending vibration analysis of a double tapered rotating nonlocal Euler-Bernoulli beam by the differential transform method ⋮ Modified strain gradient plate model for nonlinear dynamics of sinusoidal impulsive actuated porous/piezoelectric laminated microharvesters ⋮ Vibration analysis of scale-dependent thin shallow microshells with arbitrary planform and boundary conditions ⋮ Active control of micro Reddy beam integrated with functionally graded nanocomposite sensor and actuator based on linear quadratic regulator method ⋮ Free vibration of rotating cantilever pre-twisted panel with initial exponential function type geometric imperfection

Cites Work

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• A size-dependent nonlinear Timoshenko microbeam model based on the strain gradient theory
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• Strain gradient theory with couple stress for crystalline solids

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