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Microcantilever dynamics in tapping mode atomic force microscopy via higher eigenmodes analysis
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10.1063/1.4808446
/content/aip/journal/jap/113/22/10.1063/1.4808446
http://aip.metastore.ingenta.com/content/aip/journal/jap/113/22/10.1063/1.4808446

Figures

Image of FIG. 1.
FIG. 1.

Fixed reference configuration (red line), quasi-static reference configuration (orange line), dynamic reference configuration (green line), dynamic current configuration (black line).

Image of FIG. 2.
FIG. 2.

Tip-sample interaction force.

Image of FIG. 3.
FIG. 3.

Quasi-static response: approach/retract separation (thick line), instantaneous distance (thin line); .

Image of FIG. 4.
FIG. 4.

Tip-sample maximum distance vs. driving frequency ( ).

Image of FIG. 5.
FIG. 5.

Bifurcations pattern of tip-sample maximum distance (a) and phase difference (b), when sweeping frequency around first resonance, with the influence of modal superposition ( ).

Image of FIG. 6.
FIG. 6.

Spectrum of the distance acceleration amplitude on the saturated branch ( ) with superharmonic components.

Image of FIG. 7.
FIG. 7.

Max tip-sample distance (a) and phase difference (b) when approaching/retracting near first resonance ( ), with influence of modal superposition ( ).

Image of FIG. 8.
FIG. 8.

Three-mode based response near second resonance, with a varying separation : (a) maximum distance; (b) phase difference.

Image of FIG. 9.
FIG. 9.

Bifurcation diagram of harmonics non-dimensional amplitudes as a function of : (a) fundamental, 1/2, and 1/3 components; (b) 1/4 component.

Image of FIG. 10.
FIG. 10.

Response at and  = 0: (a) phase portrait; (b) Fourier spectrum of distance.

Image of FIG. 11.
FIG. 11.

Impact velocity within the separation range (first resonance): (a) approach, (b) retract.

Image of FIG. 12.
FIG. 12.

Impact velocity within the separation range (second resonance): (a) approach, (b) retract.

Image of FIG. 13.
FIG. 13.

Phase portrait at the separation  = 0 in the conditions of Fig. 12 .

Image of FIG. 14.
FIG. 14.

Maximum contact force within the separation range : (a) first resonance, (b) second resonance.

Image of FIG. 15.
FIG. 15.

Maximum contact force: (a) first resonance ( ); (b) second resonance ( ).

Image of FIG. 16.
FIG. 16.

Approach/retract response near the first resonance: (a) tip-sample maximum distance and (b) phase difference, with influence of modal superposition (high range of increasing -factor values); (c) orbits within hysteresis ( = 25 nm) and (d) their magnification in the contact region.

Image of FIG. 17.
FIG. 17.

Approach/retract response near the first resonance: (a) tip-sample maximum distance and (b) phase difference, with influence of modal superposition (low range of increasing -factor values); (c) orbits within hysteresis ( = 3 nm) and (d) their magnification in the contact region.

Image of FIG. 18.
FIG. 18.

Approach/retract response near second resonance: (a) tip-sample maximum distance and (b) phase difference, with influence of modal superposition (low range of increasing -factor values); (c) period-1 and (d) multi-periodic orbits within hysteresis.

Image of FIG. 19.
FIG. 19.

(a) Maximum contact force at first and second resonance, and (b) magnification of the lower branch within hysteresis, with three modes (low range of increasing -factor values).

Tables

Generic image for table
Table I.

Symbols' meaning and parametric values used for numerical simulations.

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/content/aip/journal/jap/113/22/10.1063/1.4808446
2013-06-11
2014-04-17
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752b84549af89a08dbdd7fdb8b9568b5 journal.articlezxybnytfddd
Scitation: Microcantilever dynamics in tapping mode atomic force microscopy via higher eigenmodes analysis
http://aip.metastore.ingenta.com/content/aip/journal/jap/113/22/10.1063/1.4808446
10.1063/1.4808446
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