Free transverse vibration of single-walled carbon nanocones

Hu, Yan-Gao; Liew, K.M.; He, Xiaoqiao; Li, Zhengliang; Han, Jun Hyun

doi:10.1016/j.carbon.2012.04.072

Cited by 35 publications

(17 citation statements)

References 28 publications

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“…It is noted that the first two order natural frequencies of the BNNCs decrease with the increasing of the cone height. This phenomenon is similar with that of the CNCs provided by Hu et al [13], and Firouz-Abadi et al [14]. The apex angle has also significant influence on the first-order natural frequencies of the BNNCs, and the increasing apex angle will increase the first-order natural frequencies, which is in agreement with the result obtained by Hu et al [13].…”

Section: Computational Model and Methodologysupporting

confidence: 91%

“…[13], and Firouz‐Abadi et al [14]. The apex angle has also significant influence on the first‐order natural frequencies of the BNNCs, and the increasing apex angle will increase the first‐order natural frequencies, which is in agreement with the result obtained by Hu et al [13]. However, the BNNCs with an apex angle of 38.9° have larger second‐order natural frequencies than those with an apex angle of 60° under the same cone height condition.…”

Section: Resultsmentioning

confidence: 99%

“…The single-layer cone-shaped nanostructures including carbon nanocones (CNCs) and BNNCs are considered as potential candidates for electron field emitters, resonators/mass detectors and highspeed AFM probe tips [11][12][13][14]. The BNNCs with different apex angles have been experimentally synthesised and observed using transmission electron microscopy and the electron diffraction technique [15][16][17].…”

mentioning

confidence: 99%

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Transverse vibration analyses of cantilevered boron nitride nanocones

Tian

Cai

Gao

et al. 2013

Micro & Nano Letters

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The free transverse vibration characteristics of cantilevered boron nitride nanocones (BNNCs) have been systematically investigated by utilising classic molecular dynamics simulations. The natural frequencies of the transverse vibrations of cantilevered BNNCs with different apex angles, cone heights and top radii are achieved by using fast Fourier transformation. The influences of the geometric parameters of the BNNCs on the natural frequencies are extensively investigated based on the established methodology.

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Section: Computational Model and Methodologysupporting

confidence: 91%

Section: Resultsmentioning

confidence: 99%

mentioning

confidence: 99%

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Transverse vibration analyses of cantilevered boron nitride nanocones

Tian

Cai

Gao

et al. 2013

Micro & Nano Letters

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“…Fakhrabadi et al [45] studied the vibrational properties of CNCs of different heights and cone angles using MM simulations and reported that the transverse vibrational frequencies reduce with increase in cone angle and height. Hu et al [46] modelled CNCs as tapered beams using the Euler-Bernoulli and Timoshenko beam theory to study transverse vibrations. In this paper, the nonlinear mechanical response of a square graphene sheet under uniaxial and biaxial in-plane stretch is studied using MM/MD, DFT and a hyperelastic continuum model based on DFT data [51].…”

Section: Introductionmentioning

confidence: 99%

Comparing quantum, molecular and continuum models for graphene at large deformations

Mokhalingam

Ghaffari

Sauer

et al. 2020

Carbon

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In this paper, the validity and accuracy of three interatomic potentials, commonly used to study carbon nanostructures in molecular dynamics, and the continuum shell model of Ghaffari and Sauer [1] are investigated. The mechanical behavior of single-layered graphene sheets (SLGSs) near zero Kelvin is studied for this comparison. The validity of the molecular and continuum models is assessed by direct comparison with density functional theory (DFT) data available in the literature. The molecular simulations are carried out employing the MM3, Tersoff and REBO+LJ potentials. The continuum formulation uses an anisotropic hyperelastic material model in the framework of the geometrically exact Kirchhoff-Love shell theory and isogeometric finite elements. For the comparison, the nonlinear response of a square graphene sheet under uniaxial stretching, biaxial stretching and pure bending is studied. Results from the continuum model are in good agreement with those of DFT. The results from the MM3 potential agree well with the DFT results up to the instability point, whereas those from the REBO+LJ and Tersoff potentials agree with the DFT results only within the range of small deformations. In contrast to the other potentials, the Tersoff potential yields auxetic response in SLGSs under uniaxial stretch. Additionally, the transverse vibration frequencies of a pre-stretched graphene sheet and a carbon nanocone are obtained using the continuum model and molecular simulations with the MM3 potential. The variations of the frequencies obtained from these two approaches agree within an accuracy of about 95\%.

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“…Therefore, it is important to investigate and control the domain structure of CVD graphene [5,6]. We previously reported the orientation-controlled graphene produced by epitaxial CVD growth using single-crystalline Cu and Co films [6][7][8], but it was unclear how the developing graphene domains merge together at the intersection during the growth.…”

Section: Introductionmentioning

confidence: 99%

Transport Properties and Defects at the Intersection of CVD Graphene Domains

Ogawa¹,

Kawahara²,

Miyashita³

et al. 2013

Extended Abstracts of the 2013 International Conference on Solid State Devices and Materials

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We study intersection between two adjacent graphene domains grown by chemical vapor deposition (CVD) method over the hetero-epitaxial Cu catalyst, which is expected to give high quality and single crystal graphene with large area. The defects and carrier transport properties are investigated by Raman mapping and electrical measurement of graphene field effect transistor (g-FET). Our results suggest that some defects remain at the intersection even for domains with identical orientation.

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Free transverse vibration of single-walled carbon nanocones

Cited by 35 publications

References 28 publications

Transverse vibration analyses of cantilevered boron nitride nanocones

Transverse vibration analyses of cantilevered boron nitride nanocones

Comparing quantum, molecular and continuum models for graphene at large deformations

Transport Properties and Defects at the Intersection of CVD Graphene Domains

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