Spectral properties of microcantilevers in viscous fluid

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dc.contributor.authorClark, Matthew T.en
dc.contributor.authorSader, John E.en
dc.contributor.authorCleveland, Jason P.en
dc.contributor.authorPaul, Mark R.en
dc.date.accessioned2024-10-09T13:54:55Zen
dc.date.available2024-10-09T13:54:55Zen
dc.date.issued2010-04-12en
dc.description.abstractWe explore analytically, numerically, and experimentally the spectral properties of the flexural vibrations of micron scale cantilevers in a viscous fluid that are driven externally or by Brownian motion. Although the physical origins of driven and thermal cantilever dynamics are quite different, we show that in each case the dynamics can be calculated deterministically using an impulse or step force, respectively. The stochastic dynamics of the cantilever are related to the removal of a step force by the fluctuation-dissipation theorem to yield the autocorrelation and noise spectral density of equilibrium fluctuations. The dynamics of a cantilever driven externally is related to an impulse in force by transfer function theory. Using this approach, we explore the differences between the driven and thermal spectra of microcantilevers. We find that higher order cantilever modes and the spatial distribution of the applied load for the external drive can be critical to the relationship between the thermal and driven spectra.en
dc.description.versionPublished versionen
dc.format.extent10 page(s)en
dc.format.mediumPrint-Electronicen
dc.format.mimetypeapplication/pdfen
dc.identifierARTN 046306 (Article number)en
dc.identifier.doihttps://doi.org/10.1103/PhysRevE.81.046306en
dc.identifier.eissn1550-2376en
dc.identifier.issn1539-3755en
dc.identifier.issue4en
dc.identifier.orcidPaul, Mark [0000-0002-0701-1955]en
dc.identifier.pmid20481826en
dc.identifier.urihttps://hdl.handle.net/10919/121307en
dc.identifier.volume81en
dc.language.isoenen
dc.publisherAmerican Physical Societyen
dc.relation.urihttp://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&KeyUT=WOS:000277265900050&DestLinkType=FullRecord&DestApp=ALL_WOS&UsrCustomerID=930d57c9ac61a043676db62af60056c1en
dc.relation.urihttp://dx.doi.org/10.1103/physreve.81.046306en
dc.rightsIn Copyrighten
dc.rights.urihttp://rightsstatements.org/vocab/InC/1.0/en
dc.titleSpectral properties of microcantilevers in viscous fluiden
dc.title.serialPHYSICAL REVIEW Een
dc.typeArticle - Refereeden
dc.type.dcmitypeTexten
dc.type.otherArticleen
dc.type.otherJournalen
pubs.organisational-groupVirginia Techen
pubs.organisational-groupVirginia Tech/Engineeringen
pubs.organisational-groupVirginia Tech/Engineering/Mechanical Engineeringen
pubs.organisational-groupVirginia Tech/All T&R Facultyen
pubs.organisational-groupVirginia Tech/Engineering/COE T&R Facultyen

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