The stochastic dynamics of rectangular and V-shaped atomic force microscope cantilevers in a viscous fluid and near a solid boundary
dc.contributor | Virginia Tech. Department of Mechanical Engineering | en |
dc.contributor.author | Clark, M. T. | en |
dc.contributor.author | Paul, Mark R. | en |
dc.contributor.department | Mechanical Engineering | en |
dc.date.accessed | 2015-04-24 | en |
dc.date.accessioned | 2015-05-26T22:32:23Z | en |
dc.date.available | 2015-05-26T22:32:23Z | en |
dc.date.issued | 2008-05-01 | en |
dc.description.abstract | Using a thermodynamic approach based upon the fluctuation-dissipation theorem, we quantify the stochastic dynamics of rectangular and V-shaped microscale cantilevers immersed in a viscous fluid. We show that the stochastic cantilever dynamics as measured by the displacement of the cantilever tip or by the angle of the cantilever tip are different. We trace this difference to contributions from the higher modes of the cantilever. We find that contributions from the higher modes are significant in the dynamics of the cantilever tip angle. For the V-shaped cantilever the resulting flow field is three-dimensional and complex in contrast to what is found for a long and slender rectangular cantilever. Despite this complexity, the stochastic dynamics can be predicted using a two-dimensional model with an appropriately chosen length scale. We also quantify the increased fluid dissipation that results as a V-shaped cantilever is brought near a solid planar boundary. (C) 2008 American Institute of Physics. | en |
dc.format.extent | 10 pages | en |
dc.format.mimetype | application/pdf | en |
dc.identifier.citation | Clark, M. T. & Paul, M. R.(2008). The stochastic dynamics of rectangular and V-shaped atomic force microscope cantilevers in a viscous fluid and near a solid boundary. Journal of Applied Physics, 103(9). doi: 10.1063/1.2912989 | en |
dc.identifier.doi | https://doi.org/10.1063/1.2912989 | en |
dc.identifier.issn | 0021-8979 | en |
dc.identifier.uri | http://hdl.handle.net/10919/52613 | en |
dc.identifier.url | http://scitation.aip.org/content/aip/journal/jap/103/9/10.1063/1.2912989 | en |
dc.language.iso | en_US | en |
dc.publisher | American Institute of Physics | en |
dc.rights | In Copyright | en |
dc.rights.uri | http://rightsstatements.org/vocab/InC/1.0/ | en |
dc.subject | Rheology and fluid dynamics | en |
dc.subject | Acoustic noise spectra | en |
dc.subject | Torque | en |
dc.subject | Energy content | en |
dc.subject | Finite element methods | en |
dc.title | The stochastic dynamics of rectangular and V-shaped atomic force microscope cantilevers in a viscous fluid and near a solid boundary | en |
dc.title.serial | Journal of Applied Physics | en |
dc.type | Article - Refereed | en |
dc.type.dcmitype | Text | en |
Files
Original bundle
1 - 1 of 1
Loading...
- Name:
- 2008_Stochastic_dynamics_rect.pdf
- Size:
- 820.98 KB
- Format:
- Adobe Portable Document Format
- Description: