Purpose This paper deals with the parametrically excited vibrations and mode transitions of
a nonlinear damped triple-well oscillator in detail. The multiple timescale structure of the …

This paper deals with the transitions through Melnikov thresholds and the corresponding fast–
slow dynamics in a family of bi-parametric mechanical oscillators subjected to an amplitude …

Subsurface detection capability of bimodal atomic force microscopy (AFM) was investigated
using the buried microcavity as a reference sample, prepared by partially covering a piece of …

The polymer has been proved to be nano machined by a vibrating tip in tapping mode of
Atomic Force Microscope (AFM). The force between the tip and the surface is an important …

Abstract Atomic Force Microscopy (AFM) uses a scanning process performed by a
microcantilever probe to create a three dimensional image of a nano-scale physical surface …

The nonlinear vibrations of the tapping-mode atomic force microscopy probe are
investigated due to both nonlinearity in tip–sample contact force and curvature of the …

The equations of motion for a piezoelectric microcantilever are derived for a nonlinear
contact force. The analytical expressions for natural frequencies and mode shapes are …

The process of imaging a biomolecule by atomic force microscope (AFM) is modeled using
molecular dynamics (MD) simulations. Since the large normal force exerted by the tip on the …

With the development of micro and nanotechnology, machining methods at micro and
nanoscale have now become interesting research topics. One of the recently-proposed …

The nonlinear interaction between the tip of a scanning probe microscope (SPM) 18 and a
sample is manifested in the emergence of bifurcations and unstable branches 19 in the …