Nonlinear free vibration of nanowires including size effects
Authors:
- 30 April 2012
- journal article
- Published by Institution of Engineering and Technology (IET) in Micro & Nano Letters
- Vol. 7 (4) , 348-352
Abstract
Considering the transverse shear deformation, geometric nonlinearity and the surface effects as well as the non-local effects, the nonlinear free vibration of nanowires is studied in this Letter. On the basis of the Timoshenko beam theory and Hamilton's principle, the nonlinear dynamics equations and corresponding boundary conditions of nanowires are derived. Then, the Galerkin method and the incremental harmonic balance method are adopted to solve the nonlinear equations. In numerical examples, the effects of the transverse shear deformation, geometric nonlinearity, surface effects as well as the non-local effects on the nonlinear amplitude–frequency response of nanowires are discussed.Keywords
This publication has 17 references indexed in Scilit:
- Surface effects on buckling of nanowires under uniaxial compressionApplied Physics Letters, 2009
- Surface stress effect on bending resonance of nanowires with different boundary conditionsApplied Physics Letters, 2008
- Surface Effect on the Elastic Behavior of Static Bending NanowiresNano Letters, 2008
- Synthesis and characterization of silver nanowires with zigzag morphology in N,N-dimethylformamideJournal of Solid State Chemistry, 2007
- Size Dependence of Young’s Modulus in ZnO NanowiresPhysical Review Letters, 2006
- Surface tension effect on the mechanical properties of nanomaterials measured by atomic force microscopyPhysical Review B, 2004
- High Performance Silicon Nanowire Field Effect TransistorsNano Letters, 2003
- How Do Gold Nanowires Break?Physical Review Letters, 2001
- Real-time imaging of atomistic process in one-atom-thick metal junctionsPhysical Review B, 2001
- Size-dependent elastic properties of nanosized structural elementsNanotechnology, 2000