Nonlinear dynamics of microcantilevers in tapping mode atomic force microscopy: A comparison between theory and experiment
نویسندگان
چکیده
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.
منابع مشابه
Effects of Fluid Environment Properties on the Nonlinear Vibrations of AFM Piezoelectric Microcantilevers
Nowadays, atomic-force microscopy plays a significant role in nanoscience and nanotechnology, and is widely used for direct measurement at atomic scale and scanning the sample surfaces. In tapping mode, the microcantilever of atomic-force microscope is excited at resonance frequency. Therefore, it is important to study its resonance. Moreover, atomic-force microscopes can be operated in fluid e...
متن کاملNonlinear tapping dynamics of multi-walled carbon nanotube tipped atomic force microcantilevers
The nonlinear dynamics of an atomic force microcantilever (AFM) with an attached multi-walled carbon nanotube (MWCNT) tip is investigated experimentally and theoretically. We present the experimental nonlinear frequency response of a MWCNT tipped microcantilever in the tapping mode. Several unusual features in the response distinguish it from those traditionally observed for conventional tips. ...
متن کاملThe nonlinear dynamics of tapping mode atomic force microscopy with capillary force interactions
We study the nonlinear dynamics of a tapping mode atomic force microscope with tip-surface interactions that include attractive, repulsive, and capillary force contributions using numerical techniques tailored for hybrid or discontinuous dynamical systems that include forward-time simulation with event handling and numerical pseudo-arclength continuation. We find four branches of periodic solut...
متن کاملNonlinear Dynamics and Chaos of Microcantilever-Based TM-AFMs with Squeeze Film Damping Effects
In Atomic force microscope (AFM) examination of a vibrating microcantilever, the nonlinear tip-sample interaction would greatly influence the dynamics of the cantilever. In this paper, the nonlinear dynamics and chaos of a tip-sample dynamic system being run in the tapping mode (TM) were investigated by considering the effects of hydrodynamic loading and squeeze film damping. The microcantileve...
متن کامل