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Resonant frequency analysis of Timoshenko nanowires with surface stress for different boundary conditions

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2 Author(s)
Qilu He ; Department of Mechanical and Industrial Engineering, University of Illinois at Chicago, 842 W. Taylor Street, Chicago, Illinois 60607, USA ; Lilley, C.M.

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The influence of both surface and shear effects on the resonant frequency of nanowires (NWs) was studied by incorporating the Young-Laplace equation with the Timoshenko beam theory. Face-centered-cubic metal NWs were studied. A dimensional analysis of the resonant frequencies for fixed-fixed gold (100) NWs were compared to molecular dynamic simulations. Silver NWs with diameters from 10 nm–500 nm were modeled as a cantilever, simply supported and fixed-fixed system for aspect ratios from 2.5–20 to identify the shear, surface, and size effects on the resonant frequencies. The shear effect was found to have a larger significance than surface effects when the aspect ratios were small (i.e., <5) regardless of size for the diameters modeled. Finally, as the aspect ratio grows, the surface effect becomes significant for the smaller diameter NWs.

Published in:

Journal of Applied Physics  (Volume:112 ,  Issue: 7 )