Free vibration analysis of micro rotating beams based on the strain gradient theory using the differential transform method: Timoshenko versus Euler-Bernoulli beam models
type: Item
instance of: scholarly article
title: Free vibration analysis of micro rotating beams based on the strain gradient theory using the differential transform method: Timoshenko versus Euler-Bernoulli beam models
zbMATH Open document ID: 1406.74280
author: Hadi Arvin
published in: European Journal of Mechanics. A. Solids
publication date: 2018-08-15T00:00:00Z
Mathematics Subject Classification ID: 74H45
Mathematics Subject Classification ID: 74K10
Mathematics Subject Classification ID: 74M25
zbMATH DE Number: 6918004
zbMATH Keywords: micro rotating beams
zbMATH Keywords: Timoshenko beam model
zbMATH Keywords: Euler-Bernoulli beam model
zbMATH Keywords: size effect
zbMATH Keywords: strain gradient theory
zbMATH Keywords: differential transform method
MaRDI profile type: Publication
full work available at URL: j.euromechsol.2017.05.006
OpenAlex ID: W2619204077
cites work: Small-scale Timoshenko beam element
cites work: A size-dependent nonlinear Timoshenko microbeam model based on the strain gradient theory
cites work: Strain gradient theory with couple stress for crystalline solids
cites work: The influence of size effect on flapwise vibration of rotating microbeams
cites work: On size-dependent lead-lag vibration of rotating microcantilevers
cites work: A reappraisal of nonlocal mechanics
cites work: Equations of motion of rotating composite beam with a nonconstant rotation speed and an arbitrary preset angle
cites work: Static and dynamic analysis of micro beams based on strain gradient elasticity theory
cites work: Axisymmetric vibrations and buckling analysis of functionally graded circular plates via differential transform method
cites work: On the gradient strain elasticity theory of plates
cites work: Rayleigh waves obtained by the indeterminate couple-stress theory
cites work: Microstructure-dependent couple stress theories of functionally graded beams
cites work: A micro scale Timoshenko beam model based on strain gradient elasticity theory
cites work: Closed-form frequency solutions for simplified strain gradient beams with higher-order inertia
cites work: Size-dependent functionally graded beam model based on an improved third-order shear deformation theory
cites work: Nonlinear microbeam model based on strain gradient theory
DOI: 10.1016/J.EUROMECHSOL.2017.05.006
description: scientific article; zbMATH DE number 6918004