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Viscous damping of nanobeam resonators: Humidity, thermal noise, and a paddling effect
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View: Figures


Image of FIG. 1.
FIG. 1.

(Color online) The force-displacement relation for a (10, 10) CNT with a length L CNT = 5.5 nm. The load is distributed uniformly along the CNT and deformation is presented by tip displacement d. The behavior can be separated into three regimes, linear elastic (d < 1 nm), nonlinear (1 nm < d < 2 nm), and post-buckling regime (d > 2 nm). Inset: atomic structures of the carbon nanotube and water molecules around it.

Image of FIG. 2.
FIG. 2.

(Color online) The vibrational evolutions of CNT tip positions at different nominal humidity H N from 0 to 100%. The difference between under-damping in the vacuum (H N = 0) and over-damping at higher nominal humidities than 40% is clearly shown.

Image of FIG. 3.
FIG. 3.

(Color online) The damped vibrational amplitudes of the nanobeam resonators where the paddling effect is included, obtained as solutions of the one-dimensional model (Eqs. (2c) and (2d)). Insets: an illustration of the paddling effect and the analytic model proposed in this work.

Image of FIG. 4.
FIG. 4.

(Color online) Damping coefficients ξ and quality factors Q as obtained from molecular dynamics simulations at different nominal humidities H N from 0 to 40%.

Image of FIG. 5.
FIG. 5.

(Color online) Damping behaviors of different types of nano- and micro-fibers, as immersed in various environmental fluids from water to air. The diameters of carbon nanotubes, silicon carbide, zinc oxide beams, and microtubules are considered to be 1.4, 20, 50, and 50 nm respectively. The lengths are depicted in parentheses.


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752b84549af89a08dbdd7fdb8b9568b5 journal.articlezxybnytfddd
Scitation: Viscous damping of nanobeam resonators: Humidity, thermal noise, and a paddling effect