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dc.contributorVirginia Tech. Department of Mechanical Engineeringen_US
dc.contributorUniversity of Illinois at Urbana-Champaign. Department of Mechanical Science and Engineeringen_US
dc.contributor.authorHashemi, Nastaranen_US
dc.contributor.authorDankowicz, Harryen_US
dc.contributor.authorPaul, Mark R.en_US
dc.date.accessioned2015-05-26T22:32:23Z
dc.date.available2015-05-26T22:32:23Z
dc.date.issued2008-05-01
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: 10.1063/1.2913054
dc.identifier.issn0021-8979
dc.identifier.urihttp://hdl.handle.net/10919/52618
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.
dc.format.extent7 pages
dc.format.mimetypeapplication/pdfen_US
dc.language.isoen_US
dc.publisherAmerican Institute of Physics
dc.subjectAttractorsen_US
dc.subjectSurface dynamicsen_US
dc.subjectPeriodic solutionsen_US
dc.subjectAtomic force microscopyen_US
dc.subjectLiquid surfacesen_US
dc.titleThe nonlinear dynamics of tapping mode atomic force microscopy with capillary force interactionsen_US
dc.typeArticleen_US
dc.identifier.urlhttp://scitation.aip.org/content/aip/journal/jap/103/9/10.1063/1.2913054
dc.date.accessed2015-04-24
dc.title.serialJournal of Applied Physics
dc.identifier.doihttps://doi.org/10.1063/1.2913054
dc.type.dcmitypeTexten_US


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