Abstract
The Timoshenko [S. S. Rao, Vibration of Continuous Systems (Wiley, New York, 2007)] beam model is used to derive the differential equations governing the free vibrations of thick nanowires (NWs) with dissipative surface stress effects. The natural frequencies are calculated as functions of NW length as well as thickness-to-length ratio, with the effects of dissipation, transverse shear deformation, and rotary inertia being included. The effects of latter two parameters are significant especially for higher modes of vibration and shorter NWs and are different from what is naively expected based on elementary mechanics for some specific dimensions. The results are also compared with the previous study using Euler-Bernoulli beam theory.
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