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

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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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Authors and Affiliations

  1. Mechanical Engineering Department, Urmia University, Urmia, Iran

    Sonia Ahangar, Ghader Rezazadeh & Rasool Shabani

  2. Mechanical & Aeronautical Engineering Faculty, Clarkson University, Potsdam, NY, 13699-5725, USA

    Goodarz Ahmadi

  3. Aerospace Engineering Department, Faculty of New Technology and Energy Engineering, Shahid Beheshti, Tehran, Iran

    Alireza Toloei

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  1. Sonia Ahangar
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  2. Ghader Rezazadeh
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Correspondence to Ghader Rezazadeh.

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Ahangar, S., Rezazadeh, G., Shabani, R. et al. On the stability of a microbeam conveying fluid considering modified couple stress theory. Int J Mech Mater Des 7, 327–342 (2011). https://doi.org/10.1007/s10999-011-9171-5

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  • DOI: https://doi.org/10.1007/s10999-011-9171-5

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