**A fundamental numerical and theoretical study for the vibrational
properties of nanowires**

HF Zhan and YT Gu, JOURNAL OF APPLIED PHYSICS, 111, 124303 (2012).

DOI: 10.1063/1.4729485

Based on the molecular dynamics (MD) simulation and the classical Euler-
Bernoulli beam theory, a fundamental study of the vibrational
performance of the Ag nanowire (NW) is carried out. A comprehensive
analysis of the quality (Q)-factor, natural frequency, beat vibration,
as well as high vibration mode is presented. Two excitation approaches,
i. e., velocity excitation and displacement excitation, have been
successfully implemented to achieve the vibration of NWs. Upon these two
kinds of excitations, consistent results are obtained, i. e., the
increase of the initial excitation amplitude will lead to a decrease to
the Q-factor, and moderate plastic deformation could increase the first
natural frequency. Meanwhile, the beat vibration driven by a single
relatively large excitation or two uniform excitations in both two
lateral directions is observed. It is concluded that the nonlinear
changing trend of external energy magnitude does not necessarily mean a
nonconstant Q-factor. In particular, the first order natural frequency
of the Ag NW is observed to decrease with the increase of temperature.
Furthermore, comparing with the predictions by EulerBernoulli beam
theory, the MD simulation provides a larger and smaller first vibration
frequencies for the clamped-clamped and clamped-free thin Ag NWs,
respectively. Additionally, for thin NWs, the first order natural
frequency exhibits a parabolic relationship with the excitation
magnitudes. The frequencies of the higher vibration modes tend to be low
in comparison to Euler-Bernoulli beam theory predictions. A combined
initial excitation is proposed which is capable to drive the NW under a
multi-mode vibration and arrows the coexistence of all the following low
vibration modes. This work sheds lights on the better understanding of
the mechanical properties of NWs and benefits the increasing utilities
of NWs in diverse nano-electronic devices. VC 2012 American Institute of
Physics. **http://dx.doi.org/10.1063/1.4729485**

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