Linear flexural natural frequencies and stability analysis of spinning Rayleigh beams: application to clamped-clamped beams.

Linear flexural natural frequencies and stability analysis of spinning Rayleigh beams: application to clamped-clamped beams.

In the present paper 3D bending linear free vibrations of spinning Rayleigh beams are investigated. Four linear models, that differ in the linearization process, are studied. A focus on analytical computation of natural frequencies for a broad range of boundary conditions is highlighted. Then, the c...

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Main Authors: Aouadi Mohamed Amine, Lakrad Faouzi
Format: Article
Language:English
Published: EDP Sciences 2018-01-01
Series:MATEC Web of Conferences
Online Access:https://doi.org/10.1051/matecconf/201824101002
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spelling doaj-9392b01836664f6cae878eb75525ee922021-02-02T04:25:34ZengEDP SciencesMATEC Web of Conferences2261-236X2018-01-012410100210.1051/matecconf/201824101002matecconf_csndd2018_01002Linear flexural natural frequencies and stability analysis of spinning Rayleigh beams: application to clamped-clamped beams.Aouadi Mohamed AmineLakrad FaouziIn the present paper 3D bending linear free vibrations of spinning Rayleigh beams are investigated. Four linear models, that differ in the linearization process, are studied. A focus on analytical computation of natural frequencies for a broad range of boundary conditions is highlighted. Then, the conditions of occurrence of divergence and flutter instabilities are determined. Finally, a case study consisting of a clamped-clamped Rayleigh beam is studied. It is found that the free vibrations destabilization process depends on the used linearization approach.https://doi.org/10.1051/matecconf/201824101002
collection DOAJ
language English
format Article
sources DOAJ
author Aouadi Mohamed Amine
Lakrad Faouzi
spellingShingle Aouadi Mohamed Amine
Lakrad Faouzi
Linear flexural natural frequencies and stability analysis of spinning Rayleigh beams: application to clamped-clamped beams.
MATEC Web of Conferences
author_facet Aouadi Mohamed Amine
Lakrad Faouzi
author_sort Aouadi Mohamed Amine
title Linear flexural natural frequencies and stability analysis of spinning Rayleigh beams: application to clamped-clamped beams.
title_short Linear flexural natural frequencies and stability analysis of spinning Rayleigh beams: application to clamped-clamped beams.
title_full Linear flexural natural frequencies and stability analysis of spinning Rayleigh beams: application to clamped-clamped beams.
title_fullStr Linear flexural natural frequencies and stability analysis of spinning Rayleigh beams: application to clamped-clamped beams.
title_full_unstemmed Linear flexural natural frequencies and stability analysis of spinning Rayleigh beams: application to clamped-clamped beams.
title_sort linear flexural natural frequencies and stability analysis of spinning rayleigh beams: application to clamped-clamped beams.
publisher EDP Sciences
series MATEC Web of Conferences
issn 2261-236X
publishDate 2018-01-01
description In the present paper 3D bending linear free vibrations of spinning Rayleigh beams are investigated. Four linear models, that differ in the linearization process, are studied. A focus on analytical computation of natural frequencies for a broad range of boundary conditions is highlighted. Then, the conditions of occurrence of divergence and flutter instabilities are determined. Finally, a case study consisting of a clamped-clamped Rayleigh beam is studied. It is found that the free vibrations destabilization process depends on the used linearization approach.
url https://doi.org/10.1051/matecconf/201824101002
work_keys_str_mv AT aouadimohamedamine linearflexuralnaturalfrequenciesandstabilityanalysisofspinningrayleighbeamsapplicationtoclampedclampedbeams
AT lakradfaouzi linearflexuralnaturalfrequenciesandstabilityanalysisofspinningrayleighbeamsapplicationtoclampedclampedbeams
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