Analytical study of three-dimensional flexural vibration of micro-rotating shafts with eccentricity utilizing the strain gradient theory
type: Item
instance of: scholarly article
title: Analytical study of three-dimensional flexural vibration of micro-rotating shafts with eccentricity utilizing the strain gradient theory
zbMATH Open document ID: 1341.74076
author: D. Kharzeev
published in: Meccanica
publication date: 2016-07-08T00:00:00Z
Mathematics Subject Classification ID: 74H45
Mathematics Subject Classification ID: 74K10
zbMATH DE Number: 6602298
zbMATH Keywords: small-scale structures
zbMATH Keywords: strain gradient theory
zbMATH Keywords: non-classical continuum theories
zbMATH Keywords: free and forced vibrations
zbMATH Keywords: micro-spinning Rayleigh beam
MaRDI profile type: Publication
full work available at URL: s11012-015-0302-1
OpenAlex ID: W1761032056
cites work: Analysis of micro-sized beams for various boundary conditions based on the strain gradient elasticity theory
cites work: Dynamic analysis of a spinning Rayleigh beam
cites work: Experiments and theory in strain gradient elasticity.
cites work: The Vibration of Rotating Shafts
cites work: Equations of motion of an asymmetric Timoshenko shaft
cites work: Transverse vibrations of rotating shafts: probability density and first-passage time of whirl radius
cites work: Asymmetric rotating shafts: An alternative analytical approach
cites work: Dynamic instability of axially loaded shafts in the Mathieu map
cites work: Resonances of an in-extensional asymmetrical spinning shaft with speed fluctuations
cites work: Two-mode combination resonances of an in-extensional rotating shaft with large amplitude
cites work: On first strain-gradient theories in linear elasticity
cites work: Static and dynamic analysis of micro beams based on strain gradient elasticity theory
cites work: Strain gradient elasticity and modified couple stress models for buckling analysis of axially loaded micro-scaled beams
cites work: A micro scale Timoshenko beam model based on strain gradient elasticity theory
cites work: Size-dependent vibration of functionally graded curved microbeams based on the modified strain gradient elasticity theory
cites work: A size-dependent nonlinear Timoshenko microbeam model based on the strain gradient theory
cites work: Linear and Nonlinear Structural Mechanics
cites work: Free vibrations analysis of a rotating shaft with nonlinearities in curvature and inertia
cites work: Consistent matrices in rotor dynamics
DOI: 10.1007/S11012-015-0302-1
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description: scientific article; zbMATH DE number 6602298