doi:10.3850/978-981-08-7619-7_P005

ABSTRACT

This work analyzes the statistical properties of nano-beam deflections due to stochastic surface stresses, induced by adsorption/desorption of surrounding particles. A mechanical model for 1D nano-beam is first introduced. The model considers local non-stationary surface residual stresses, governed by the Langmuir's interaction model. Local adsorption relations are described by non-deterministic model, from which the statistics of the surface residual stresses are extracted and their time-space correlations are calculated. The nano-beam deflections are governed by a stochastic differential operator with a non-deterministic load. Governing equations are solved analytically by the Functional Perturbation method (FPM) and validated by Monte-Carlo simulations for cantilever and clamped-clamped beam configurations. It is concluded that nano-beams have a potential to be much faster indicators for sensing applications. It is shown that clamped beams provide greater sensitivity due to coupling between the residual force and bending moment.

Keywords: Nano-mechanics, Nano-sensors, Adsorption-sensors.

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