Nanomechanical resonators and their applications in biological/chemical detection: Nanomechanics principles

TL;DR: A finite element model is developed to investigate the size-dependent free vibration of functionally graded curved nanobeams on nonlocal elastic foundations, considering two-phase local/nonlocal models and elastic foundation effects on vibration frequencies.

TL;DR: In this article, a nonlinear model for the vibrations of piezoelectric nanowire resonators with added mass was proposed, and a parametric sensitivity analysis was carried out to investigate the effects of key parameters on the sensitivity of the resonators in mass sensing.

TL;DR: In this article, the authors proposed a new graphene resonator circuit which operates on the principle of a selfoscillator and has no drawbacks typical of nanoresonators as mass detectors and associated with their law quality factor, eigenfrequency errors (measurements from resonance curves), and dependence of quench frequency on oscillation frequency.

TL;DR: Simple models of networks that can be tuned through this middle ground: regular networks ‘rewired’ to introduce increasing amounts of disorder are explored, finding that these systems can be highly clustered, like regular lattices, yet have small characteristic path lengths, like random graphs.

TL;DR: In this paper, the gear predictor -corrector is used to calculate forces and torques in a non-equilibrium molecular dynamics simulation using Monte Carlo methods. But it is not suitable for the gear prediction problem.

TL;DR: In this paper, a simple model based on the power-law degree distribution of real networks was proposed, which was able to reproduce the power law degree distribution in real networks and to capture the evolution of networks, not just their static topology.