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DYNAMIC MODELING CONTROL AND MANIPULATION AT THE NANOSCALE

Nanoscale Friction Dynamic Modeling

[+] Author and Article Information
Fakhreddine Landolsi, Jun Lou, Hao Lu, Yuekai Sun

Department of Mechanical Engineering and Materials Science, Rice University, 6100 Main, Houston, TX 77005-1827

Fathi H. Ghorbel1

Department of Mechanical Engineering and Materials Science, Rice University, 6100 Main, Houston, TX 77005-1827ghorbel@rice.edu

1

Corresponding author.

J. Dyn. Sys., Meas., Control 131(6), 061102 (Oct 28, 2009) (7 pages) doi:10.1115/1.3223620 History: Received March 17, 2008; Revised June 03, 2009; Published October 28, 2009

Friction and system models are fundamentally coupled. In fact, the success of models in predicting experimental results depends highly on the modeling of friction. This is true at the atomic scale where the nanoscale friction depends on a large set of parameters. This paper presents a novel nanoscale friction model based on the bristle interpretation of single asperity contact. This interpretation is adopted after a review of dynamic friction models representing stick-slip motion in macrotribology literature. The proposed model uses state variables and introduces a generalized bristle deflection. Jumping mechanisms are implemented in order to take into account the instantaneous jumps observed during 2D stick-slip phenomena. The model is dynamic and Lipchitz, which makes it suitable for future control implementation. Friction force microscope scans of a muscovite mica sample were conducted in order to determine numerical values of the different model parameters. The simulated and experimental results are then compared in order to show the efficacy of the proposed model.

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Copyright © 2009 by American Society of Mechanical Engineers
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Figures

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Figure 1

2D stick-slip behavior of the probe: (a) straight FFM tip trajectory and (b) zigzag FFM tip motion

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Figure 2

Potential distribution created by the tip-sample interactions and corresponding tip motion

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Figure 3

Jumping criteria based on an additional velocity component: (a) stick, phase, (b) slip phase, and (c) relatively high scan velocity

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Figure 4

Bristle interpretation of nanoscale friction

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Figure 5

Interpretation of the model parameters: (a) geometrical interpretation of the static and kinetic friction and (b) the effective stiffness of the system depends on the cantilever and bristle stiffness

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Figure 6

FFM experiment setup

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Figure 7

Experimental frictional data of the mica sample

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Figure 8

Four arbitrary scans representing the frictional characteristics of mica

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Figure 9

Proposed model validation: (a) simulated versus experimental friction data for one line scan and (b) corresponding simulated tip displacement

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Figure 10

Simulated effects of the static and kinetic friction coefficients

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Figure 11

Effect of the scan speed on the nanoscale friction characteristics

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