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The nonlinear dynamics of tapping mode atomic force microscopy with capillary force interactions

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dc.contributorVirginia Tech. Department of Mechanical Engineeringen
dc.contributorUniversity of Illinois at Urbana-Champaign. Department of Mechanical Science and Engineeringen
dc.contributor.authorHashemi, Nastaranen
dc.contributor.authorDankowicz, Harryen
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.abstractWe study the nonlinear dynamics of a tapping mode atomic force microscope with tip-surface interactions that include attractive, repulsive, and capillary force contributions using numerical techniques tailored for hybrid or discontinuous dynamical systems that include forward-time simulation with event handling and numerical pseudo-arclength continuation. We find four branches of periodic solutions that are separated by windows of complex and irregular dynamics. The branches of periodic solutions end where the cantilever comes into grazing contact with event surfaces in state space, corresponding to the onset of capillary interactions and the onset of repulsive forces associated with contact. These windows of irregular dynamics are found to coexist with the periodic branches of solutions as well as exist beyond the termination of the periodic solution. Finally, we show that these details can be overlooked unless one is careful to sample the dynamics appropriately. (C) 2008 American Institute of Physics.en
dc.format.extent7 pagesen
dc.format.mimetypeapplication/pdfen
dc.identifier.citationHashemi, N., Dankowicz, H. & Paul, M. R. (2008). The nonlinear dynamics of tapping mode atomic force microscopy with capillary force interactions. Journal of Applied Physics, 103(9). doi: 10.1063/1.2913054en
dc.identifier.doihttps://doi.org/10.1063/1.2913054en
dc.identifier.issn0021-8979en
dc.identifier.urihttp://hdl.handle.net/10919/52618en
dc.identifier.urlhttp://scitation.aip.org/content/aip/journal/jap/103/9/10.1063/1.2913054en
dc.language.isoen_USen
dc.publisherAmerican Institute of Physicsen
dc.rightsIn Copyrighten
dc.rights.urihttp://rightsstatements.org/vocab/InC/1.0/en
dc.subjectAttractorsen
dc.subjectSurface dynamicsen
dc.subjectPeriodic solutionsen
dc.subjectAtomic force microscopyen
dc.subjectLiquid surfacesen
dc.titleThe nonlinear dynamics of tapping mode atomic force microscopy with capillary force interactionsen
dc.title.serialJournal of Applied Physicsen
dc.typeArticle - Refereeden
dc.type.dcmitypeTexten

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