| Issue |
MATEC Web Conf.
Volume 241, 2018
International Conference on Structural Nonlinear Dynamics and Diagnosis (CSNDD 2018)
|
|
|---|---|---|
| Article Number | 01004 | |
| Number of page(s) | 4 | |
| DOI | https://doi.org/10.1051/matecconf/201824101004 | |
| Published online | 03 December 2018 | |
Invariant slow manifolds of an Atomic Force Microscope system under the Derjaguin-Muller-Toporov forces and a slow harmonic base motion
Laboratory of Renewable Energy and Dynamics of Systems, Faculty of Sciences Ain Chock, University Hassan II-Casablanca, Casablanca, Morocco
In the present work, we study the nonlinear vibrations of an AFM system, modeled as a linear mass-spring-damper system, under the Derjaguin-Muller-Toporov forces and subject to imposed slow harmonic base displacement. The invariant slow manifolds of the system are approximated and their bifurcations are investigated. Then, the charts of behaviors of the different operating modes of the AFM are determined. The dynamic saddle-node bifurcations of the contact and the noncontact invariant slow manifolds are found to be responsible for the occurrence of the tapping mode.
© The Authors, published by EDP Sciences, 2018
This is an open access article distributed under the terms of the Creative Commons Attribution License 4.0 (http://creativecommons.org/licenses/by/4.0), which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
Current usage metrics show cumulative count of Article Views (full-text article views including HTML views, PDF and ePub downloads, according to the available data) and Abstracts Views on Vision4Press platform.
Data correspond to usage on the plateform after 2015. The current usage metrics is available 48-96 hours after online publication and is updated daily on week days.
Initial download of the metrics may take a while.