Dissipative surface stress effects on free vibrations of nanowires

被引:30
作者
Hasheminejad, Seyyed M. [1 ]
Gheshlaghi, Behnam [1 ]
机构
[1] Iran Univ Sci & Technol, Dept Mech Engn, Acoust Res Lab, Tehran 1684613114, Iran
关键词
QUALITY FACTOR; RESONATORS;
D O I
10.1063/1.3528212
中图分类号
O59 [应用物理学];
学科分类号
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]
引用
收藏
页数:3
相关论文
共 28 条
[1]   Free vibration of microscaled Timoshenko beams [J].
Abbasion, Saeed ;
Rafsanjani, Ahmad ;
Avazmohammadi, Reza ;
Farshidianfar, Anoushiravan .
APPLIED PHYSICS LETTERS, 2009, 95 (14)
[2]  
Blanter MS, 2007, SPRINGER SER MATER S, V90, pVII, DOI 10.1007/978-3-540-68758-0
[3]   Large deformation and amorphization of Ni nanowires under uniaxial strain:: A molecular dynamics study [J].
Branício, PS ;
Rino, JP .
PHYSICAL REVIEW B, 2000, 62 (24) :16950-16955
[4]   Size dependence of Young's modulus in ZnO nanowires [J].
Chen, CQ ;
Shi, Y ;
Zhang, YS ;
Zhu, J ;
Yan, YJ .
PHYSICAL REVIEW LETTERS, 2006, 96 (07)
[5]  
CLELAND AN, 2003, FDN NANOMECHANICS, P12320
[6]   Generalized model of resonant polymer-coated microcantilevers in viscous liquid media [J].
Cox, Russell ;
Josse, Fabien ;
Wenzel, Michael J. ;
Heinrich, Stephen M. ;
Dufour, Isabelle .
ANALYTICAL CHEMISTRY, 2008, 80 (15) :5760-5767
[7]   Effect of coating viscoelasticity on quality factor and limit of detection of microcantilever chemical sensors [J].
Dufour, Isabelle ;
Lochon, Frederic ;
Heinrich, Stephen A. ;
Josse, Fabien ;
Rebiere, Dominique .
IEEE SENSORS JOURNAL, 2007, 7 (1-2) :230-236
[8]   Very high frequency silicon nanowire electromechanical resonators [J].
Feng, X. L. ;
He, Rongrui ;
Yang, Peidong ;
Roukes, M. L. .
NANO LETTERS, 2007, 7 (07) :1953-1959
[9]  
Feng X.L., 2006, 2006 SOL STAT SENS A, P86
[10]   Surface effects on the elastic modulus of nanoporous materials [J].
Feng, Xi-Qiao ;
Xia, Re ;
Li, Xide ;
Li, Bo .
APPLIED PHYSICS LETTERS, 2009, 94 (01)