On the control of bistability in non-contact mode AFM using modulated time delay

On the control of bistability in non-contact mode AFM using modulated time delay

We study the control of bistability in non-contact mode AFM using time delay with modulated feedback gain. We consider that the tip-sample interaction force is described by Lennard-Jones potential and the equation of motion is modeled by single degree of freedom system. Perturbation analysis is per...

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Main Authors: Kirrou I., Belhaq M.
Format: Article
Language:English
Published: EDP Sciences 2014-01-01
Series:MATEC Web of Conferences
Online Access:http://dx.doi.org/10.1051/matecconf/20141604002
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spelling doaj-82d676d653a545ae8a5dba781a4786ce2021-03-02T09:07:50ZengEDP SciencesMATEC Web of Conferences2261-236X2014-01-01160400210.1051/matecconf/20141604002matecconf_csndd2014_04002On the control of bistability in non-contact mode AFM using modulated time delayKirrou I.Belhaq M. We study the control of bistability in non-contact mode AFM using time delay with modulated feedback gain. We consider that the tip-sample interaction force is described by Lennard-Jones potential and the equation of motion is modeled by single degree of freedom system. Perturbation analysis is performed to obtain the modulation equations of the slow dynamic. The influence of the modulated time delay on the nonlinear characteristic of the frequency response is analyzed and the evolution of the bistability region in the modulated time delay parameter plan is examined. Results show that modulation of the feedback gain can be used to reduce the amplitude of the microcanteliver response and to suppress the bistability regime in large region of the modulated delay parameter space. The analytical predictions are compared to numerical simulations for validation. http://dx.doi.org/10.1051/matecconf/20141604002
collection DOAJ
language English
format Article
sources DOAJ
author Kirrou I.
Belhaq M.
spellingShingle Kirrou I.
Belhaq M.
On the control of bistability in non-contact mode AFM using modulated time delay
MATEC Web of Conferences
author_facet Kirrou I.
Belhaq M.
author_sort Kirrou I.
title On the control of bistability in non-contact mode AFM using modulated time delay
title_short On the control of bistability in non-contact mode AFM using modulated time delay
title_full On the control of bistability in non-contact mode AFM using modulated time delay
title_fullStr On the control of bistability in non-contact mode AFM using modulated time delay
title_full_unstemmed On the control of bistability in non-contact mode AFM using modulated time delay
title_sort on the control of bistability in non-contact mode afm using modulated time delay
publisher EDP Sciences
series MATEC Web of Conferences
issn 2261-236X
publishDate 2014-01-01
description We study the control of bistability in non-contact mode AFM using time delay with modulated feedback gain. We consider that the tip-sample interaction force is described by Lennard-Jones potential and the equation of motion is modeled by single degree of freedom system. Perturbation analysis is performed to obtain the modulation equations of the slow dynamic. The influence of the modulated time delay on the nonlinear characteristic of the frequency response is analyzed and the evolution of the bistability region in the modulated time delay parameter plan is examined. Results show that modulation of the feedback gain can be used to reduce the amplitude of the microcanteliver response and to suppress the bistability regime in large region of the modulated delay parameter space. The analytical predictions are compared to numerical simulations for validation.
url http://dx.doi.org/10.1051/matecconf/20141604002
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AT belhaqm onthecontrolofbistabilityinnoncontactmodeafmusingmodulatedtimedelay
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