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

• Autorzy: Oveisi A
• Języki publikacji: EN

Abstrakty

EN

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.

PL

W pracy badano wpływ efektów powierzchniowych na poprzeczne drgania swobodne nanodrutów piezoelektrycznych (nanowires, NW). Model dynamiczny NW stworzono posługując sie nielokalna teoria belki Timoszenki. Stosując te teorie, przy uwzględnieniu zarówno efektów powierzchniowych i efektów nielokalnych, obliczono częstotliwości drgań własnych nanodrutu. Uzyskane rozwiązanie, o formie zamkniętej, pozwala także obliczyć podstawowe napięcie wyboczenia. Ponadto, zbadano wpływ efektów małej skali na resztkowe naprężenie powierzchniowe i potencjał elektryczny. Wyniki pracy mogą być użyteczne przy projektowaniu przyrządów wykorzystujących nanodruty piezoelektryczne.

Słowa kluczowe

EN

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

PL

wolne wibracje; nanodruty; teoria nielokalna

• Wydawca: Komitet Budowy Maszyn PAN
• Czasopismo: Archive of Mechanical Engineering
• Rocznik: 2014
• Tom: Vol. LXI, nr 1
• Strony: 139--152
• Opis fizyczny: Bibliogr. 34 poz., rys., tab.

Twórcy

autor

Oveisi A

• School of Mechanical Engineering, Iran University of Science and Technology, Tehran, Iran

Bibliografia

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