Nonlinear dynamic behavior of a clamped–clamped beam from BNC nanotube impacted by fullerene

Yang, Likui; Cai, Kun; Shi, Jing; Xie, Mike; Qin, Qing Hua

doi:10.1007/s11071-019-04845-6

Cited by 14 publications

(7 citation statements)

References 33 publications

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“…The third order frequencies are 164.62 GHz and 164.15 GHz, respectively. According to our previous study 24 , the vibration of a beam section can be considered as combination of three different vibrations, i.e., the structural vibration of beam at gigahertz level, the 100 GHz level of breathing vibration of cross section and the terahertz thermal vibration of atoms on the section. Hence, both the first and the second orders of frequencies belong to transversal vibration of the structure.…”

Section: Resultsmentioning

confidence: 99%

“…The minimal escaping velocity demonstrates the ability of the nanobeam for capturing a moving nanoparticle. Recently, Yang et al 24 discovered that the natural frequency of a BNCNT-based nanobeam decreases with the increasing of the incident velocity of nanoparticle. Before and after a bond breakage, the natural frequency of beam changed sharply.…”

Section: Introductionmentioning

confidence: 99%

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Nonlinear vibration of a buckled/damaged BNC nanobeam transversally impacted by a high-speed C60

Shi

Yang

Shen

et al. 2021

Sci Rep

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Nanotube can be used as a mass sensor. To design a mass sensor for evaluating a high-speed nanoparticle, in this study, we investigated the impact vibration of a cantilever nanobeam being transversally collided by a high-speed C60 at the beam's free end with an incident velocity of vIn. The capped beam contains alternately two boron nitride zones and two carbon zones on its cross section. Hence, the relaxed beam has elliptic cross section. The vibration properties were demonstrated by molecular dynamics simulation results. Beat vibration of a slim beam can be found easily. The 1st and the 2nd order natural frequencies (f1 and f2) of the beam illustrate the vibration of beam along the short and the long axes of its elliptic cross section, respectively. f2 decreases with increasing temperature. A minimal value of vIn leads to the local buckling of the beam, and a different minimal vIn leading to damage of the beam. For the same system at a specified temperature, f2 varies with vIn. When the beam bends almost uniformly, f2 decreases linearly with vIn. If vIn becomes higher, the beam has a cross section which buckles locally, and the buckling position varies during vibration. If vIn approaches the damage velocity, a fixed contraflexture point may appear on the beam due to its strong buckling. Above the damage velocity, f2 decreases sharply. These results have a potential application in design of a mass sensor.

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Section: Resultsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Nonlinear vibration of a buckled/damaged BNC nanobeam transversally impacted by a high-speed C60

Shi

Yang

Shen

et al. 2021

Sci Rep

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“…Between 100 K and 150 K, the ribbon has a constant bending stiffness, i.e., the stiffness is independent of temperature. The two properties can be adopted for design of a temperature-dependent nano-device, e.g., nano-resonator 30,35,36 .…”

Section: Resultsmentioning

confidence: 99%

“…Similarly, asymmetry can also be utilized by precursor films to cause bending and unwrapping of graphene 28 . The naturally curved material can be used in fabricating an arc device, e.g., stators in a nano-universal joint 29 or curved resonators for obtaining beat vibration 30 . In this study, the primary physical properties, e.g., the natural curvature and natural vibration frequency of such diamondene ribbons, were investigated by molecular dynamics (MD) simulations, and possible applications were predicted based on these results.…”

Section: Introductionmentioning

confidence: 99%

Vibration behavior of diamondene nano-ribbon passivated by hydrogen

Wang

Zhang

Shi

et al. 2019

Sci Rep

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Diamondene is a new kind of two dimensional carbon allotrope with excellent properties and passivation approaches are often used to reduce the extremely high pressure required during its fabrication. When a one-end-clamped diamondene ribbon is hydrogenated on one surface, the ribbon tends to bend and vibrate due to asymmetric layout of C-H bonds on two surfaces. In the present work, the vibration behavior, including natural curvatures and vibration frequencies of diamondene ribbons, were investigated by molecular dynamics simulations. Results indicate that the natural curvature radius of a narrow diamondene ribbon is close to 12.17 nm at a temperature below 150 K, which is essential for fabricating an arc nanodevice. The first order frequency (f1) of a cantilever beam made from the ribbon follows traditional beam vibration theory if the slenderness ratio is low. In particular, f1 increases logarithmically at temperature below 50 K, but changes slightly between 50 K and 150 K. It suggests a design scheme for a nanoresonator with temperature-controlled frequency.

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“…As an important mechanical property, the vibration characteristics of a CNT have become another hot topic for research in recent years. For example, Cai et al [12,13] discussed the dynamic responses of a CNT-based nanobeam, which was considered a model of nanobalance. For slight vibrations, the deformation is linearly elastic and reversible.…”

Section: Introductionmentioning

confidence: 99%

Vibration Analysis of Fluid Conveying Carbon Nanotubes Based on Nonlocal Timoshenko Beam Theory by Spectral Element Method

Wang

2019

Nanomaterials

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In this work, we applied the spectral element method (SEM) to analyze the dynamic characteristics of fluid conveying single-walled carbon nanotubes (SWCNTs). First, the dynamic equations for fluid conveying SWCNTs were deduced based on the nonlocal Timoshenko beam theory. Then, the spectral element formulation was established for a free/forced vibration analysis of fluid conveying SWCNTs by introducing discrete Fourier transform. Furthermore, the proposed method was validated using several comparison examples. Finally, the natural frequencies and dynamic responses of a simply-supported fluid conveying SWCNTs were calculated by the SEM, considering different internal fluid velocities and small-scale parameters (SSPs). The effects of fluid velocity and SSPs on the dynamic characteristics of SWCNTs conveying fluid were revealed by the numerical results. Compared with other methods, the SEM shows high accuracy and efficiency.

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Nonlinear dynamic behavior of a clamped–clamped beam from BNC nanotube impacted by fullerene

Cited by 14 publications

References 33 publications

Nonlinear vibration of a buckled/damaged BNC nanobeam transversally impacted by a high-speed C60

Nonlinear vibration of a buckled/damaged BNC nanobeam transversally impacted by a high-speed C60

Vibration behavior of diamondene nano-ribbon passivated by hydrogen

Vibration Analysis of Fluid Conveying Carbon Nanotubes Based on Nonlocal Timoshenko Beam Theory by Spectral Element Method

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