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TECHNICAL PAPERS

Reduced Order Model Analysis for Two-Dimensional Molecular Dynamic Chain Structure Attached to an Atomic Force Microscope

[+] Author and Article Information
Deman Tang, Earl H. Dowell

Department of Mechanical Engineering and Materials Science, Duke University, Durham, North Carolina 27708-0300

J. Dyn. Sys., Meas., Control 126(3), 531-546 (Dec 03, 2004) (16 pages) doi:10.1115/1.1789969 History: Received December 09, 2003; Online December 03, 2004
Copyright © 2004 by ASME
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References

Figures

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Schematic diagram of a macromolecular chain model connected to an AFM measurement system (cantilevered beam)
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Eigenvalues and eigenmodes for the linearized perturbation system with I=100
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Dynamic responses of the macromolecular chain for A0/σ=1, μ=0.02, and I=100
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Dynamic responses of the macromolecular chain for A0/σ=0.1, μ=0.15, and I=100
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Dynamic responses of the macromolecular chain for A0/σ=0.1, μ=0.1767, and I=100
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Change of the static equilibrium distance between the neighboring masses and corresponding force for A0/σ=0.1, μ=0.1767, and I=100
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rms deflection amplitude for each mass vs the static equilibrium position for μ=0.02, A0/σ=1.0, and I=100
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rms deflection amplitude for each mass vs the static equilibrium position for μ=0.15, A0/σ=0.1, and I=100
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Dynamic responses of the macromolecular chain for A0/σ=0.1, μ=0.1767, and I=100
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Total rms error vs total number of eigenmodes retained in the reduced order model for A0/σ=0.1, μ=0.02, 0.15, 0.1767, and I=100 using the fully linear reduced order model with quasistatic correction
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Dynamic responses of rms amplitude of each mass in macromolecular chain for A0/σ=0.1, μ=0.15, and I=100
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Dynamic responses of rms amplitude of each mass in the macromolecular chain for A0/σ=0.1, μ=0.1767, and I=100
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Total rms error vs total number of eigenmodes retained in the reduce d order model for A0/σ=0.1, μ=0.02, 0.15, 0.1767, and I=100 using the nonlinear reduced order model with linear response correction
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rms deflection amplitude for each mass vs the static equilibrium position for μ=0.002, A0/σ=1.0, and I=1000
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Dynamic responses of the macromolecular chain for A0/σ=0.1, μ=0.0162, and I=1000
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rms deflection amplitude for each mass vs the static equilibrium position for μ=0.072, A0/σ=0.1, and I=1000
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rms amplitude of each mass for the macromolecular chain, I=1000
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Total rms error vs total number of eigenmodes retained in the reduced order model for μ=0.002, 0.0162, and 0.072 using the linear reduced order model with quasistatic correction, I=1000
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rms amplitude of each mass and total error for the nonlinear reduced order model with NNA, A0/σ=0.1 and I=1000
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rms amplitude of each mass and total error for the nonlinear reduced order model without NNA, I=1000

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