The bending rigidity of two-dimensional (2D) materials is a key parameter for understanding the mechanics 2D NEMS devices. apparent graphene membranes at macroscopic scale differs from theoretical predictions micro-scale. This difference believed to originate thermally induced dynamic ripples in these atomically thin membranes. In this paper, we perform modal analysis estimate effective frequency spectrum their Brownian motion. Our method based on fitting resonance frequencies obtained...

Stochastic switching between the two bistable states of a strongly driven mechanical resonator enables detection weak signals based on probability distributions, in manner that mimics biological systems. However, conventional silicon resonators at microscale require large amount fluctuation power to achieve rate order few Hertz. Here, we employ graphene membrane atomic thickness stochastic 7.8 kHz, which is 200 times faster than current state-of-the-art. The (effective) temperature...

Dynamic atomic force microscopy (AFM) is a key platform that enables topological and nanomechanical characterization of novel materials. This achieved by linking the nanoscale forces exist between AFM tip sample to specific mathematical functions through modeling. However, main challenge in dynamic quantify these without use complex models are routinely used explain physics tip-sample interaction. Here, we make machine learning data science characterize purely from experimental with...

Diamond is a highly desirable material for state-of-the-art micro-electromechanical (MEMS) devices, radio-frequency filters and mass sensors, due to its extreme properties robustness. However, the fabrication/integration of diamond structures into Si-based components remain costly complex. In this work, lithography-free, low-cost method introduced fabricate diamond-based micro-resonators: modified home/office desktop inkjet printer used locally deposit nanodiamond ink as ∅50-60 µm spots,...

This work investigates the mechanical behavior of a clamped-clamped microbeam modeled within framework strain-gradient elasticity theory. The governing equation motion gives proper account both effect nonlinear midplane stretching and an applied axial load. An electric-voltage difference, introducing into model further source nonlinearity, is considered, including also correction term for fringing field effects. electric force acting on rearranged by means Chebyshev method, verifying...

In this work, we perform a comprehensive analysis of the robustness attractors in tapping mode atomic force microscopy. The numerical model is based on cantilever dynamics driven Lennard–Jones potential. Pseudo-arc-length continuation and basins attraction are utilized to obtain frequency response dynamical integrity attractors. global bifurcation scenario maps for system developed by incorporating several local loci excitation parameter space. Moreover, map delineates various escape...

Suspended microfluidic resonators enable detection of fluid density and viscosity with high sensitivity. Here, a two-legged suspended microchannel resonator that probes pico-litres liquid is presented. The higher resonant modes (flexural torsional) were explored for increased sensitivity resolution. Unlike other reported resonators, this device showed an increase in the quality factor frequency value. performance was tested by filling channel three liquids, one at time, over range 779−1110...

Optomechanical spectroscopy of nanoresonators provides high-sensitivity determination the Young's modulus individual carbon nanotubes, which allows estimation effect temperature on their stiffness.

Numerical integrations represent a time-consuming element in the long-term dynamics analysis of mechanical systems. This limits resolution computations and dimension system to be investigated numerically. In fact, even pushing memory resources their thresholds, only few tools can deal with higher-dimensional work illustrates, preliminary manner, results that obtained reducing aforementioned constraints thanks implementation algorithms based on parallel computing approach. particular, by...

The accuracy of measurements in Amplitude Modulation Atomic Force Microscopy (AFM) is directly related to the geometry tip. AFM tip characterized by its radius curvature, which could suffer from alterations due repetitive mechanical contact with surface. An estimation change would allow user assess quality during imaging. In this work, we introduce a method for evaluation based on nonlinear dynamic response cantilever. A fitting procedure used match several curves softening nonlinearity...

Increasing the signal-to-noise ratio in dynamic atomic force microscopy plays a key role nanomechanical mapping of materials with resolution. In this work, we develop an experimental procedure for increasing sensitivity higher harmonics atomic-force-microscope cantilever without modifying geometry but instead by utilizing dynamical mode coupling between its flexural modes vibration. We perform experiments on different cantilevers and samples observe that via nonlinear resonance frequency...

Artificial neural networks (ANNs) are an effective data-driven approach to model chaotic dynamics. Although ANNs universal approximators that easily incorporate mathematical structure, physical information, and constraints, they scarcely interpretable. Here, we develop a network framework in which the dynamics is reframed into piecewise models. The discontinuous formulation defines switching laws representative of bifurcations mechanisms, recovering system differential equations its...

Abstract This study examines the nonlinear dynamics in tapping-mode atomic force microscopy (AFM) with tip-surface interactions that include van der Waals and Derjaguin-Müller-Toporov contact forces. We investigate periodic solutions of hybrid system by performing numerical pseudo-arclength continuation. Through use bifurcation locus maps set parameters discontinuous model, overall dynamical response scenario is assessed. demonstrate influence various dissipation mechanisms are related AFM...