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Influence of a locally-tailored external feedback control on the overall dynamics of a non-contact AFM model.pdf
International Journal of Non-Linear Mechanics 80 (2016) 144–159
Contents lists available at ScienceDirect
International Journal of Non-Linear Mechanics
journal homepage: /locate/nlm
In?uence of a locally-tailored external feedback control on the overall dynamics of a non-contact AFM model
Valeria Settimi, Giuseppe Rega n
Department of Structural and Geotechnical Engineering, Sapienza University of Rome, Italy
article info
Article history: Received 21 January 2015 Received in revised form 6 May 2015 Accepted 6 May 2015 Available online 8 July 2015
Keywords: Non-contact AFM External feedback control Strongly non-linear dynamics Bifurcation scenario Escape
abstract
The dynamical analysis of a single-mode model of non-contact AFM with external feedback control is carried out in the strongly non-linear regime. The aim of the study is to investigate and verify the effects of the control introduction on the system overall behavior, which could be unexpectedly in?uenced by the local nature of the control technique. For this purpose, a variety of behavior charts around primary and subharmonic resonances are obtained together with several bifurcation diagrams to detect the main local bifurcation thresholds as a function of the most relevant system parameters. The comparison with the results obtained for the corresponding uncontrolled system allows one to comprehensively evaluate the effectiveness and possible criticalities of the control actuation on the system dynamics, with also a view to the overall response scenario.
2015 Elsevier Ltd. All rights reserved.
1. Introduction
In the last two decades, the ?eld of motion control of nonlinear mechanical systems and structures has been deeply investigated, to avoid possible unstable or chaotic responses and improve the system dynamical performances. Starting from the pioneering works of Ott et al. [1] and Pyragas [2], several books (e.g., [3–6]), surveys (e.g., [7]) and journal issues (e.g., [8,9]) have been devoted to the topic
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