Mathematical model for the adsorption-induced nonlocal frequency shift in adatoms-nanobeam system
| Autor: | Fathi Brioua, M.E.A. Benamar, Hicham Bourouina, Rachid Kerid, Reda Yahiaoui |
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| Rok vydání: | 2017 |
| Předmět: |
Timoshenko beam theory
Physics Condensed matter physics media_common.quotation_subject Shear force Rotary inertia 02 engineering and technology 021001 nanoscience & nanotechnology Condensed Matter Physics Inertia Electronic Optical and Magnetic Materials Moment (mathematics) Vibration Shear (sheet metal) Condensed Matter::Materials Science symbols.namesake 020303 mechanical engineering & transports 0203 mechanical engineering Physics::Atomic and Molecular Clusters symbols Physics::Chemical Physics Electrical and Electronic Engineering van der Waals force 0210 nano-technology media_common |
| Zdroj: | Physica B: Condensed Matter. 520:128-138 |
| ISSN: | 0921-4526 |
| Popis: | This paper models and investigates the resonance frequency shift induced by the adsorption phenomena for an adatoms-nanobeam system including the small scale effect as well as rotary inertia and shear distortion effects. The Lennard-Jones (6–12) type potential is used to determine the adsorption-induced energy owing van der Waals (vdW) interaction mechanism between adatom-adatom and adatom-substrate. The small scale effect is introduced by using Eringen's nonlocal elasticity theory while the explicit expressions of inertia moment and shear force are derived from the standard Timoshenko beam equations in which the residual stress effect is accounted as an additive axial load. Numerical results showed that the resonance frequency shift is depended on each of the adsorption density, mode number and small scale effects. Thus, numerical results are discussed in detail for a proper analysis of dynamic vibration behavior of adatoms-nanobeam systems which are of interest in the development of mass sensing devices. |
| Databáze: | OpenAIRE |
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