Non-Smooth Dynamics of Tapping Mode Atomic Force Microscopy

Pierpaolo Belardinelli*, Abhilash Chandrashekar, Farbod Alijani, Stefano Lenci

*Corresponding author for this work

Research output: Chapter in Book/Conference proceedings/Edited volumeConference contributionScientificpeer-review

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.

Original languageEnglish
Title of host publicationASME 2022 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference
Subtitle of host publicationProceedings of the 18th International Conference on Multibody Systems, Nonlinear Dynamics, and Control (MSNDC)
PublisherThe American Society of Mechanical Engineers (ASME)
Number of pages12
Volume9
ISBN (Electronic)978-0-7918-8630-4
DOIs
Publication statusPublished - 2022
EventASME 2022 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference, IDETC-CIE 2022 - St. Louis, United States
Duration: 14 Aug 202217 Aug 2022

Conference

ConferenceASME 2022 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference, IDETC-CIE 2022
Country/TerritoryUnited States
CitySt. Louis
Period14/08/2217/08/22

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