On the stability of a microbeam conveying fluid considering modified couple stress theory |
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Authors: | Sonia Ahangar Ghader Rezazadeh Rasool Shabani Goodarz Ahmadi Alireza Toloei |
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Affiliation: | (1) Mechanical Engineering Department, Urmia University, Urmia, Iran;(2) Mechanical & Aeronautical Engineering Faculty, Clarkson University, Potsdam, NY 13699-5725, USA;(3) Aerospace Engineering Department, Faculty of New Technology and Energy Engineering, Shahid Beheshti, Tehran, Iran |
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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. |
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