Akademik Veri Yönetim Sistemi
VI. International Conference On Natural Sciences and Technologies, Antalya, Türkiye, 30 Mayıs - 01 Haziran 2024, ss.1
The present study introduces a novel theoretical framework to observe
energy dissipation during the interaction of an Atomic Force Microscopy (AFM)
micro-cantilever with Van der Waals forces. A forced Helmholtz-Duffing
oscillator with monomodal and multimodal excitation schemes is used to predict
the dynamic responses of the micro-cantilever. The energy quantities such as
virial and dissipated power are calculated analytically by utilizing the
deflection amplitudes, phase shifts, and other system parameters at the
eigenmodes in AFM studies. As a novelty of this current work, the energy
quantities for the first three vibrational modes are obtained by determining
the approximate integrals using the trapezoidal method with unit spacing. In
general, the virial and dissipated power variables are used to express the
energy dissipation process in the presence of Van der Waals loads acting on the
micro-cantilever tip. In the present work, the driving force signals to
resonate the micro-cantilever are generated based on the free oscillation
amplitude of 0.3 nm while obtaining deflections at the first eigenmode. The
simulation results demonstrate that the trimodal excitation provides the
highest deflection sensitivity (around 5 pm) to Van der Waals force for the
first eigenmode. In addition to that, the resonant micro-cantilever dissipates
the highest energy in the range of 0 - 1.1 x 10-12 W at the second
resonant frequency in trimodal operations. Higher energy dissipates from the micro-cantilever
driven by larger excitation forces in a multi-frequency operation. Thus, in
this current study, the forced Helmholtz-Duffing oscillator is implemented to
observe the energy dissipation from the resonant micro-cantilever under Van der
Waals forces.