The stochastic dynamics of rectangular and V-shaped atomic force microscope cantilevers in a viscous fluid and near a solid boundary

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dc.contributorVirginia Tech. Department of Mechanical Engineeringen
dc.contributor.authorClark, M. T.en
dc.contributor.authorPaul, Mark R.en
dc.contributor.departmentMechanical Engineeringen
dc.date.accessed2015-04-24en
dc.date.accessioned2015-05-26T22:32:23Zen
dc.date.available2015-05-26T22:32:23Zen
dc.date.issued2008-05-01en
dc.description.abstractUsing 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.extent10 pagesen
dc.format.mimetypeapplication/pdfen
dc.identifier.citationClark, 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: 10.1063/1.2912989en
dc.identifier.doihttps://doi.org/10.1063/1.2912989en
dc.identifier.issn0021-8979en
dc.identifier.urihttp://hdl.handle.net/10919/52613en
dc.identifier.urlhttp://scitation.aip.org/content/aip/journal/jap/103/9/10.1063/1.2912989en
dc.language.isoen_USen
dc.publisherAmerican Institute of Physicsen
dc.rightsIn Copyrighten
dc.rights.urihttp://rightsstatements.org/vocab/InC/1.0/en
dc.subjectRheology and fluid dynamicsen
dc.subjectAcoustic noise spectraen
dc.subjectTorqueen
dc.subjectEnergy contenten
dc.subjectFinite element methodsen
dc.titleThe stochastic dynamics of rectangular and V-shaped atomic force microscope cantilevers in a viscous fluid and near a solid boundaryen
dc.title.serialJournal of Applied Physicsen
dc.typeArticle - Refereeden
dc.type.dcmitypeTexten

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