Non-Smooth Dynamics of Tapping Mode Atomic Force Microscopy

Journal article (2023)

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)
Copyright: © 2023 P. Belardinelli, A. Chandrashekar, F. Alijani, Stefano Lenci
DOI: https://doi.org/10.1115/1.4062228
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Published Date

2023

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 study examines the nonlinear dynamics in tapping-mode atomic force microscopy (AFM) with tip-surface interactions that include van der Waals and Derjaguin-Muller- € Toporov contact forces. We investigate the periodic solutions of the hybrid system by performing numerical pseudo-arclength continuation. Through the use of bifurcation locus maps in the set of parameters of the discontinuous model, the overall dynamical response scenario is assessed. We demonstrate the influence of various dissipation mechanisms that are related with the AFM touching or lacking contact with the sample. Local and global analyses are used to investigate the stability of the stable solution in the repulsive regime. The impacting nonsmooth dynamics framed within a higher-mode Galerkin discretization is able to capture windows of irregular and complex motion.