%0 Journal Article
%T Nonlinear Dynamical analysis of an AFM tapping mode microcantilever beam
%A Manoubi I.
%A Najar F.
%A Choura S.
%A Nayfeh A. H.
%J MATEC Web of Conferences
%D 2012
%I 
%R 10.1051/matecconf/20120104002
%X We focus in this paper on the modeling and dynamical analysis of a tapping mode atomic force microscopy (AFM) microcantilever beam. This latter is subjected to a harmonic excitation of its base displacement and to Van der Waals and DMT contact forces at its free end. For AFM design purposes, we derive a mathematical model for accurate description of the AFM microbeam dynamics. We solve the resulting equations of motions and associated boundary conditions using the Galerkin method. We find that using one-mode approximation in tapping mode operating in the neighborhood of the contact region one-mode approximation may lead to erroneous results.
%U http://dx.doi.org/10.1051/matecconf/20120104002