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International Journal of Mechanics and Materials in Design
Published in: International Journal of Mechanics and Materials in Design 4/2011

01-12-2011

On the stability of a microbeam conveying fluid considering modified couple stress theory

Authors: Sonia Ahangar, Ghader Rezazadeh, Rasool Shabani, Goodarz Ahmadi, Alireza Toloei

Published in: International Journal of Mechanics and Materials in Design | Issue 4/2011

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Abstract

In this paper, the size-dependent vibrational behavior of a microbeam conveying fluid was investigated using the Modified Couple Stress Theory. For cantilever and clamped-clamped microbeams, the small amplitude vibration equation of the micro-beams was solved using a Galerkin based reduced order model and the effects of material length-scale parameter on its natural frequencies were evaluated. It was found that for the both cantilever and clamped-clamped conditions, the critical fluid velocities predicted by the modified couple stress theory are higher than those predicted by the classical beam theory. In addition, the differences between the eigen-frequencies and the critical fluid velocities predicted by the modified couple stress theory and classical beam theory depends on the ratio of the material length-scale parameter to the beam height. In addition an unexpected result in the difference between the first eigen-frequency of the cantilever micro-beam obtained by the classical and the modified couple stress theory has been achieved.
previous article The effect of the horizontal vibrations on natural heat transfer from an isothermal array of cylinders

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Metadata
Title
On the stability of a microbeam conveying fluid considering modified couple stress theory
Authors
Sonia Ahangar
Ghader Rezazadeh
Rasool Shabani
Goodarz Ahmadi
Alireza Toloei
Publication date
01-12-2011
Publisher
Springer Netherlands
Published in
International Journal of Mechanics and Materials in Design / Issue 4/2011
Print ISSN: 1569-1713
Electronic ISSN: 1573-8841
DOI
https://doi.org/10.1007/s10999-011-9171-5

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