Virginia Tech
    • Log in
    View Item 
    •   VTechWorks Home
    • College of Engineering (COE)
    • Department of Mechanical Engineering
    • Scholarly Works, Department of Mechanical Engineering
    • View Item
    •   VTechWorks Home
    • College of Engineering (COE)
    • Department of Mechanical Engineering
    • Scholarly Works, Department of Mechanical Engineering
    • View Item
    JavaScript is disabled for your browser. Some features of this site may not work without it.

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

    Thumbnail
    View/Open
    2008_Nonlinear_dynamics_tapping.pdf (493.9Kb)
    Downloads: 329
    Date
    2008-05-01
    Author
    Hashemi, Nastaran
    Dankowicz, Harry
    Paul, Mark R.
    Metadata
    Show full item record
    Abstract
    We 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.
    URI
    http://hdl.handle.net/10919/52618
    Collections
    • Scholarly Works, Department of Mechanical Engineering [388]

    If you believe that any material in VTechWorks should be removed, please see our policy and procedure for Requesting that Material be Amended or Removed. All takedown requests will be promptly acknowledged and investigated.

    Virginia Tech | University Libraries | Contact Us
     

     

    VTechWorks

    AboutPoliciesHelp

    Browse

    All of VTechWorksCommunities & CollectionsBy Issue DateAuthorsTitlesSubjectsThis CollectionBy Issue DateAuthorsTitlesSubjects

    My Account

    Log inRegister

    Statistics

    View Usage Statistics

    If you believe that any material in VTechWorks should be removed, please see our policy and procedure for Requesting that Material be Amended or Removed. All takedown requests will be promptly acknowledged and investigated.

    Virginia Tech | University Libraries | Contact Us