Analytical estimates of the pull-in voltage for carbon nanotubes considering tip-charge concentration and intermolecular forces
| Autor: | Enrico Radi, Giovanni Bianchi |
|---|---|
| Rok vydání: | 2020 |
| Předmět: |
Timoshenko beam theory
Nanocantilever Materials science Cantilever Pull-in voltage 02 engineering and technology Carbon nanotube 01 natural sciences law.invention Carbon nanotube Pull-in voltage NEMS Nanocantilever van der Waals interactions Charge concentration NEMS symbols.namesake Shooting method 0203 mechanical engineering law Deflection (engineering) 0103 physical sciences 010301 acoustics van der Waals interactions Mechanical Engineering Intermolecular force Mechanics Condensed Matter Physics 020303 mechanical engineering & transports Mechanics of Materials Charge concentration symbols van der Waals force Voltage |
| Zdroj: | Meccanica. 55:193-209 |
| ISSN: | 1572-9648 0025-6455 |
| DOI: | 10.1007/s11012-019-01119-8 |
| Popis: | Two-side accurate analytical estimates of the pull-in parameters of a carbon nanotube switch clamped at one end under electrostatic actuation are provided by considering the proper expressions of the electrostatic force and van der Waals interactions for a carbon nanotube, as well as the contribution of the charge concentration at the free end. According to the Euler–Bernoulli beam theory, the problem is governed by a fourth-order nonlinear boundary value problem. Two-side estimates on the centreline deflection are derived. Then, very accurate lower and upper bounds to the pull-in voltage and deflection are obtained as function of the geometrical and material parameters. The analytical predictions are found to agree remarkably well with the numerical results provided by the shooting method, thus validating the proposed approach. Finally, a simple closed-form relation is proposed for the minimum feasible gap and maximum realizable length for a freestanding CNT cantilever. |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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