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[摘要]：A dissipative surface stress model is adopted to study the effect of size-dependent surface dissipation on natural frequencies of vibrating elastic nanowires (NWs). Euler-Bernoulli beam theory along with the classic Zener model for interior friction in the presence of an initial surface tension [C. Zener, Elasticity and Anelasticity of Metals (University of Chicago Press, Chicago, 1948)] are employed to derive a fifth order differential equation of motion describing the flexural vibrations of the NW. Numerical results include the natural frequencies of vibration for selected nanowire lengths ranging from nanometers to microns, for three common boundary conditions: simply supported, cantilever, and fully clamped. (C) 2010 American Institute of Physics. [doi:10.1063/1.3528212] |
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