TY - JOUR
T1 - Nonlinear dynamics of microcantilevers in tapping mode atomic force microscopy
T2 - A comparison between theory and experiment
AU - Lee, S. I.
AU - Howell, S. W.
AU - Raman, A.
AU - Reifenberger, R.
PY - 2002/9/15
Y1 - 2002/9/15
N2 - The nonlinear dynamic response of atomic force microscopy cantilevers tapping on a sample is discussed through theoretical, computational, and experimental analysis. Experimental measurements are presented for the frequency response of a specific microcantilever-sample system to demonstrate the nonlinear features, including multiple jump phenomena leading to reproducible hysteresis. We show that a comprehensive analysis using modern continuation tools for computational nonlinear dynamics and bifurcation problems reproduces all essential features of the data. A close connection is established between the features of the interaction potential well and the nonlinear forced tip response. In particular, the effects of the nonlinear van der Waals forces, the nanoscale contact nonlinearities, and microcantilever damping, as well as the effects of forced and parametric excitation on the bifurcations and instabilities of forced periodic motions of the microcantilever system, are discussed in detail. The results indicate that nonlinear system identification methods could be used as effective tools to extract detailed information about the tip-surface interaction potential.
AB - The nonlinear dynamic response of atomic force microscopy cantilevers tapping on a sample is discussed through theoretical, computational, and experimental analysis. Experimental measurements are presented for the frequency response of a specific microcantilever-sample system to demonstrate the nonlinear features, including multiple jump phenomena leading to reproducible hysteresis. We show that a comprehensive analysis using modern continuation tools for computational nonlinear dynamics and bifurcation problems reproduces all essential features of the data. A close connection is established between the features of the interaction potential well and the nonlinear forced tip response. In particular, the effects of the nonlinear van der Waals forces, the nanoscale contact nonlinearities, and microcantilever damping, as well as the effects of forced and parametric excitation on the bifurcations and instabilities of forced periodic motions of the microcantilever system, are discussed in detail. The results indicate that nonlinear system identification methods could be used as effective tools to extract detailed information about the tip-surface interaction potential.
UR - http://www.scopus.com/inward/record.url?scp=0038599782&partnerID=8YFLogxK
U2 - 10.1103/PhysRevB.66.115409
DO - 10.1103/PhysRevB.66.115409
M3 - Article
AN - SCOPUS:0038599782
SN - 0163-1829
VL - 66
SP - 1154091
EP - 11540910
JO - Physical Review B - Condensed Matter and Materials Physics
JF - Physical Review B - Condensed Matter and Materials Physics
IS - 11
M1 - 115409
ER -