Stochastic dynamics of micron-scale doubly clamped beams in a viscous fluid

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dc.contributor.authorVilla, M. M.en
dc.contributor.authorPaul, Mark R.en
dc.date.accessioned2024-10-09T14:05:57Zen
dc.date.available2024-10-09T14:05:57Zen
dc.date.issued2009-05-28en
dc.description.abstractWe study the stochastic dynamics of doubly clamped micron-scale beams in a viscous fluid driven by Brownian motion. We use a thermodynamic approach to compute the equilibrium fluctuations in beam displacement that requires only deterministic calculations. From calculations of the autocorrelations and noise spectra we quantify the beam dynamics by the quality factor and resonant frequency of the fundamental flexural mode over a wide range of experimentally accessible geometries. We consider beams with uniform rectangular cross section and explore the increased quality factor and resonant frequency as a baseline geometry is varied by increasing the width, increasing the thickness, and decreasing the length. The quality factor is nearly doubled by tripling either the width or the height of the beam. Much larger improvements are found by decreasing the beam length, however this is limited by the appearance of additional modes of fluid dissipation. Overall, the stochastic dynamics of the wider and thicker beams are well predicted by a two-dimensional approximate theory beyond what may be expected based upon the underlying assumptions, whereas the shorter beams require a more detailed analysis. © 2009 The American Physical Society.en
dc.description.versionPublished versionen
dc.format.extent8 page(s)en
dc.format.mimetypeapplication/pdfen
dc.identifierARTN 056314 (Article number)en
dc.identifier.doihttps://doi.org/10.1103/PhysRevE.79.056314en
dc.identifier.eissn1550-2376en
dc.identifier.issn1539-3755en
dc.identifier.issue5en
dc.identifier.orcidPaul, Mark [0000-0002-0701-1955]en
dc.identifier.pmid19518569en
dc.identifier.urihttps://hdl.handle.net/10919/121320en
dc.identifier.volume79en
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:000266500800061&DestLinkType=FullRecord&DestApp=ALL_WOS&UsrCustomerID=930d57c9ac61a043676db62af60056c1en
dc.relation.urihttp://dx.doi.org/10.1103/physreve.79.056314en
dc.rightsIn Copyrighten
dc.rights.urihttp://rightsstatements.org/vocab/InC/1.0/en
dc.subjectbeams (structures)en
dc.subjectBrownian motionen
dc.subjectQ-factoren
dc.subjectstochastic processesen
dc.subjectthermodynamicsen
dc.subjectviscosityen
dc.titleStochastic dynamics of micron-scale doubly clamped beams in a 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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