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Archive of Mechanical Engineering

The Journal of Committee on Machine Building of Polish Academy of Sciences

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Free Vibration of Piezo-Nanowires Using Timoshenko Beam Theory with Consideration of Surface and Small Scale Effects

Atta Oveisi
  • Corresponding author
  • School of Mechanical Engineering, Iran University of Science and Technology, Tehran, Iran
  • Email:
Published Online: 2014-05-17 | DOI: https://doi.org/10.2478/meceng-2014-0008


This paper investigates the influence of surface effects on free transverse vibration of piezoelectric nanowires (NWs). The dynamic model of the NW is tackled using nonlocal Timoshenko beam theory. By implementing this theory with consideration of both non-local effect and surface effect under simply support boundary condition, the natural frequencies of the NW are calculated. Also, a closed form solution is obtained in order to calculate fundamental buckling voltage. Finally, the effect of small scale effect on residual surface tension and critical electric potential is explored. The results can help to design piezo-NW based instruments.


W pracy badano wpływ efektów powierzchniowych na poprzeczne drgania swobodne nanodrutów piezoelektrycznych (nanowires, NW). Model dynamiczny NW stworzono posługujac sie nielokalna teoria belki Timoszenki. Stosujac te teorie, przy uwzglednieniu zarówno efektów powierzchniowych i efektów nielokalnych, obliczono czestotliwosci drgan własnych nanodrutu. Uzyskane rozwiazanie, o formie zamknietej, pozwala takze obliczyc podstawowe napiecie wyboczenia. Ponadto, zbadano wpływ efektów małej skali na resztkowe naprezenie powierzchniowe i potencjał elektryczny. Wyniki pracy moga byc uzyteczne przy projektowaniu przyrzadów wykorzystujacych nanodruty piezoelektryczne.

Keywords : piezoceramic nanobeams; free vibrations; buckling; surface stress; non-local elasticity


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About the article

Received: 2013-11-26

Published Online: 2014-05-17

Published in Print: 2014-03-01

Citation Information: Archive of Mechanical Engineering, ISSN (Online) 2300-1895, DOI: https://doi.org/10.2478/meceng-2014-0008. Export Citation

© by Atta Oveisi. This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License. (CC BY-NC-ND 3.0)

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