Non-Smooth Dynamics of Tapping Mode Atomic Force Microscopy

Conference paper (2022)

Authors

P. Belardinelli Università Politecnica delle Marche
A. Chandrashekar Dynamics of Micro and Nano Systems - Mechanical, Maritime and Materials Engineering
F. Alijani Dynamics of Micro and Nano Systems - Mechanical, Maritime and Materials Engineering
Stefano Lenci Università Politecnica delle Marche
Research Group
Dynamics of Micro and Nano Systems (Mechanical, Maritime and Materials Engineering) (TU Delft)
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Published Date

2022

Language

English

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Faculty

Mechanical, Maritime and Materials Engineering

Department

Precision and Microsystems Engineering

Research Group

Dynamics of Micro and Nano Systems

Abstract

This paper investigates the nonlinear dynamics in tapping-mode atomic force microscopy (AFM) with tip-surface interactions that include Van der Waals and Derjaguin-Müller-Toporov contact forces. We study the periodic solutions of the hybrid system by performing numerical pseudo-arclength continuation. The overall dynamical response scenario is evaluated via bifurcation loci maps in the set of parameters of the discontinuous model. We showcase the influence of different dissipation mechanisms activated when the AFM is in contact or out-of contact with the sample. The robustness of the stable solution in the repulsive regime is studied via local and global analyses. The impacting non-smooth dynamics framed within a higher-mode Galerkin discretization is able to capture windows of irregular and complex motion.