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Nonlinear Force Analysis of Atomic Force Microscopy

[+] Author Affiliations
S. Nima Mahmoodi

The University of Alabama, Tuscaloosa, AL

Amin Salehi-Khojin

University of Illinois at Urbana-Champaign, Urbana Champaign, IL

Mehdi Ahmadian

Virginia Tech, Blacksburg, VA

Paper No. DETC2011-48482, pp. 793-799; 7 pages
doi:10.1115/DETC2011-48482
From:
  • ASME 2011 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference
  • Volume 1: 23rd Biennial Conference on Mechanical Vibration and Noise, Parts A and B
  • Washington, DC, USA, August 28–31, 2011
  • Conference Sponsors: Design Engineering Division and Computers and Information in Engineering Division
  • ISBN: 978-0-7918-5478-5
  • Copyright © 2011 by ASME

abstract

The objective of this work is to highlight and discuss some critical conditions in which the imprecision of atomic force microscopy (AFM) system will be intensified. To precisely address these issues, we developed a complete close form solution for a non-linear motion of AFM system subjected to non-linear contact and van der Waals forces. Galerkin method and multiple time scale approach are used to solve the governing non-linear differential equation of the AFM system. A nonlinear frequency-response equation is then obtained as a function of displacement excitation, resonance frequency and associated response amplitude. By simulation of the AFM response under different tip-sample interaction force and distance, it is shown that jump phenomenon takes place due to the non-linear motion of microcantilever at certain operating frequencies. This case can be avoided via operating the AFM in a right frequency region; however the error associated with it must be compensated by a post-processing of collected data.

Copyright © 2011 by ASME

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