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Article
Near-grazing Dynamics in Tapping-mode Atomic-force Microscopy
International Journal of Non-Linear Mechanics (2007)
  • Xiaopeng Zhao, University of Tennessee, Knoxville
  • Harry Dankowicz, University of Illinois at Urbana-Champaign
  • Sambit Misra, University of Illinois at Urbana-Champaign
Abstract

In tapping-mode atomic-force microscopy, non-linear effects due to large variations in the force field on the probe tip over very small length scales and the intermittency of contact may induce strong dynamical instabilities. In this paper, a discontinuity-mapping-based analysis is employed to investigate the destabilizing effects of low-velocity contact on a lumped-mass model of an oscillating atomic-force-microscope cantilever tip interacting with a typical sample surface. As illustrated using two tip–sample force models, the analysis qualitatively captures the potential loss of stability and disappearance of a low-contact-velocity steady-state response. The quantitative agreement of the predictions of the discontinuity-mapping-based analysis with direct numerical simulations, at least for sufficiently low contact velocity, supports its use in the passive redesign or active control of the tip–sample mechanism for purposes of preventing such a loss of stability.

Keywords
  • Tapping-mode; Atomic-force microscopy; Grazing bifurcations; Discontinuity mappings
Publication Date
May, 2007
Citation Information
Xiaopeng Zhao, Harry Dankowicz and Sambit Misra. "Near-grazing Dynamics in Tapping-mode Atomic-force Microscopy" International Journal of Non-Linear Mechanics Vol. 42 Iss. 4 (2007)
Available at: http://works.bepress.com/xiaopeng_zhao/2/