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

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

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 ex...

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Hauptverfasser: Qilu He, Lilley, C. M.
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Bending
Mechanical factors
Nanobioscience
Nanowires
Quality Factor
Surface Stress
Timoshenko Beam theory
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description 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.
doi_str_mv 10.1109/NANO.2012.6321910
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source IEEE Electronic Library (IEL) Conference Proceedings
subjects Bending
Mechanical factors
Nanobioscience
Nanowires
Quality Factor
Surface Stress
Timoshenko Beam theory
title The vibration model and quality factor analysis of Timoshenko nanowires with surface stress
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