In this paper, a study of the characteristics of period-doubling bifurcations in the dynamic behavior of an atomic force microscope probe for off-resonance excitation is presented. Using a three-mode approximation and excitation at two-and-a-half times the fundamental frequency, the relationship between the characteristics of the period-doubling bifurcation and the material properties is studied by using numerical simulations. Simulations are first used to successfully reproduce nonlinear response data collected experimentally by using a commercial atomic force microscope system and then to conduct a parametric study in order to examine the influence of variations in other system parameters on the relationship. These parameters are the excitation magnitude, the damping level, the cantilever stiffness, and the characteristics of the force model. Based upon the results of the parametric study, a new operation mode for obtaining localized material properties through an efficient scanning process is proposed. A preliminary scan simulation demonstrates the successful implementation of the relationship and its potential for providing localized material property information with nanoscale resolution.
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e-mail: wei.huang@rice.edu
e-mail: andrew.j.dick@rice.edu
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October 2011
Research Papers
Influence of Local Material Properties on the Nonlinear Dynamic Behavior of an Atomic Force Microscope Probe
Wei Huang,
Wei Huang
Department of Mechanical Engineering and Materials Science, Nonlinear Phenomena Laboratory,
e-mail: wei.huang@rice.edu
Rice University
, Houston, TX 77005
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Andrew J. Dick
Andrew J. Dick
Department of Mechanical Engineering and Materials Science, Nonlinear Phenomena Laboratory,
e-mail: andrew.j.dick@rice.edu
Rice University
, Houston, TX 77005
Search for other works by this author on:
Wei Huang
Department of Mechanical Engineering and Materials Science, Nonlinear Phenomena Laboratory,
Rice University
, Houston, TX 77005e-mail: wei.huang@rice.edu
Andrew J. Dick
Department of Mechanical Engineering and Materials Science, Nonlinear Phenomena Laboratory,
Rice University
, Houston, TX 77005e-mail: andrew.j.dick@rice.edu
J. Comput. Nonlinear Dynam. Oct 2011, 6(4): 041009 (9 pages)
Published Online: April 14, 2011
Article history
Received:
April 15, 2010
Revised:
February 24, 2011
Online:
April 14, 2011
Published:
April 14, 2011
Citation
Huang, W., and Dick, A. J. (April 14, 2011). "Influence of Local Material Properties on the Nonlinear Dynamic Behavior of an Atomic Force Microscope Probe." ASME. J. Comput. Nonlinear Dynam. October 2011; 6(4): 041009. https://doi.org/10.1115/1.4003732
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