0
TECHNICAL PAPERS

Dynamic Analysis of a Protein-Ligand Molecular Chain 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, NC 27708-0300

J. Vib. Acoust 126(4), 496-513 (Dec 21, 2004) (18 pages) doi:10.1115/1.1804999 History: Received April 01, 2003; Revised January 01, 2004; Online December 21, 2004
Copyright © 2004 by ASME
Your Session has timed out. Please sign back in to continue.

References

Figures

Grahic Jump Location
Schematic diagram of macromolecular chain model with AFM measurement system
Grahic Jump Location
Nonlinear interatomic force versus the interatomic separation r/σ
Grahic Jump Location
Nondimensional static equilibrium parameter Δ/σ versus base position of tip probe
Grahic Jump Location
Total potential energy versus the interatomic separation r/σ for I=1
Grahic Jump Location
(a) Total potential energy versus the interatomic separation x1/σ,x2/σ, for I=2 and (b) corresponding contour plot
Grahic Jump Location
(a) Total potential energy versus the interatomic separation x99/σ and x100/σ for I=100 and (b) corresponding contour plot
Grahic Jump Location
Time history for A0/σ=0.2,μ=0.01 and I=1
Grahic Jump Location
FFT analysis of both linear and nonlinear responses for A0/σ=0.2,μ=0.01, and I=1
Grahic Jump Location
Dynamic response behavior for A0/σ=0.5,μ=0.1095,x/σ|τ=0=1.2, and I=1
Grahic Jump Location
FFT analysis of the dynamic response for A0/σ=0.5,μ=0.1095,x/σ|τ=0=1.2, and I=1
Grahic Jump Location
RMS response amplitude versus ω/Ω for A0/σ=0.1,L/σ=1.0, and I=1
Grahic Jump Location
Nonlinear and linearized time histories for A0/σ=0.2,μ=0.02,x/σ|τ=0=1.0, and I=2
Grahic Jump Location
Chaotic behavior for A0/σ=2.6,μ=0.45,x1/σ|τ=0=1.0,x2/σ|τ=0=2.0, and I=2
Grahic Jump Location
FFT analysis of the dynamic response for A0/σ=2.6,μ=0.45,x1/σ|τ=0=1.0,x2/σ|τ=0=2.0, and I=2
Grahic Jump Location
RMS response amplitude versus ω/Ω for A0/σ=0.2,L/2σ=1.0, and I=2
Grahic Jump Location
Eigenvalues and eigenmodes for the linearized perturbation system with I=1000 and d=0
Grahic Jump Location
Dynamic responses of the macromolecular chain for A0/σ=0.2 and 4, and μ=0.02
Grahic Jump Location
Rms amplitude of each atom A0/σ=1 and μ=0.01
Grahic Jump Location
Total rms error (linear compared to nonlinear response) versus excitation amplitude A0/σ for different excitation frequency μ=0.01, and 0.02
Grahic Jump Location
Dynamic response of the macromolecular chain using the fully linear reduced-order model with the quasi-static correction (QSC) for A0/σ=1 and μ=0.03
Grahic Jump Location
Total rms error versus total number of eigenmodes retained in the reduced-order model for A0/σ=1 and μ=0.01,0.02,0.03 using the fully linear reduced-order model with quasi-static correction
Grahic Jump Location
Dynamic response of the macromolecular chain using combined linear/nonlinear reduced-order model with the quasi-static correction (QSC) for two nonlinear elements included (mn=2) and A0/σ=1
Grahic Jump Location
Total rms error versus eigenmodes for two nonlinear elements included (mn=2),A0/σ=1 and μ=0.01,0.02,0.03 using the combined linear/nonlinear reduced-order model with quasi-static correction
Grahic Jump Location
Total rms error versus total number eigenmodes included for A0/σ=1 and μ=0.01 and 0.02 using the combined linear/nonlinear reduced-order model with quasi-static correction
Grahic Jump Location
Computational rms error between the approximate and exact solutions of the nonlinear algebraic equation (51) versus the nondimensional excitation amplitude A0/σ for μ=0.01 and I=1000
Grahic Jump Location
Dynamic response of the macromolecular chain using the fully nonlinear reduced order model with the quasi-static correction for A0/σ=1 and μ=0.03
Grahic Jump Location
Total rms error versus total number eigenmodes included for A0/σ=1 and μ=0.01, 0.02 and 0.03 using the full nonlinear reduced-order model based on the quasi-static response correction
Grahic Jump Location
Total rms error of the fully linearized response to the fully nonlinear response versus nondimensional excitation amplitude, A0/σ, for μ=0.03
Grahic Jump Location
Dynamic response of the macromolecular chain using the fully nonlinear reduced order model based on the linearized response correction for A0/σ=2,3,4 and μ=0.03
Grahic Jump Location
Total rms error vs. total number eigenmodes included for μ=0.03 and A0/σ=1,2,3 and A0/σ=4,5 using the full nonlinear reduced order model based on the linearized dynamic response correction (LDRC)
Grahic Jump Location
The percentage of the retained eigenmodes needed to the total (1000) number of modes vs. the excitation amplitude, A0/σ, for a permitted total rms error of 5% and μ=0.03
Grahic Jump Location
Dynamic response of the macromolecular chain using the fully nonlinear reduced order model based on the quasi-static response correction (QSRC) and based on the linearized dynamic response correction (LDRC) for A0/σ=3,μ=0.03 and 10 eigenmodes retained in the calculations

Tables

Errata

Discussions

Some tools below are only available to our subscribers or users with an online account.

Related Content

Customize your page view by dragging and repositioning the boxes below.

Related Journal Articles
Related eBook Content
Topic Collections

Sorry! You do not have access to this content. For assistance or to subscribe, please contact us:

  • TELEPHONE: 1-800-843-2763 (Toll-free in the USA)
  • EMAIL: asmedigitalcollection@asme.org
Sign In