The vibration model and quality factor analysis of Timoshenko nanowires with surface stress

Author

He, Qilu ; Lilley, Carmen M.

Author_Institution

Dept. of Mech. & Ind. Eng., Univ. of Illinois at Chicago, Chicago, IL, USA

fYear

2012

Firstpage

1

Lastpage

6

Abstract

The Young-Laplace equation was incorporated into Timoshenko beam theory to model the free vibration of bending nanowires while taking into account the surface properties. Three boundary conditions were considered: cantilever, simply-supported and fixed-fixed ends. A method based on Fourier series expansion is introduced to solve for the free vibration solution with specific initial conditions. The quality factor for vibrating nanowires in a viscous environment is calculated based on damping ratio of beams and the influence of surface stress on the quality-factor of bending nanowire sensors is discussed.

Keywords

Fourier series; Laplace equations; Q-factor; bending; cantilevers; nanowires; surface dynamics; vibrations; Fourier series expansion; Timoshenko beam theory; Timoshenko nanowires; Young Laplace equation; beam damping ratio; bending nanowire sensors; bending nanowires; cantilever; fixed-fixed ends; free vibration solution; quality factor analysis; simply-supported ends; surface properties; surface stress influence; vibration model; Mechanical factors; Nanobioscience; Bending; Nanowires; Quality Factor; Surface Stress; Timoshenko Beam theory;

fLanguage

English

Publisher

ieee

Conference_Titel

Nanotechnology (IEEE-NANO), 2012 12th IEEE Conference on

Conference_Location

Birmingham

ISSN

1944-9399

Print_ISBN

978-1-4673-2198-3

Type

conf

DOI

10.1109/NANO.2012.6321910

Filename

6321910