Resonance frequency of chiral single-walled carbon nanotubes using Timoshenko beam theory

Hsu, Jung-Chang; Chang, Ruo-Ping; Chang, Win−Jin

doi:10.1016/j.physleta.2008.01.007

Cited by 68 publications

(50 citation statements)

References 15 publications

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“…Lordi and Yao [11] performed molecular dynamic (MD) simulations to determine the Young's modulus and thermal vibration frequencies of SWCNTs using the universal force field with various clamped-free conditions based on the Euler beam theory. Carbon nanotubes model of chiral SWCNTs for analyzing their resonant frequency are developed by Hsu et al [12] and these tubes were observed under a thermal vibration. The model used for implicating the shear deformation and rotatory inertia was Timoshenko beam model.…”

Section: Introductionmentioning

confidence: 99%

Vibrational Behavior of Single-Walled Carbon Nanotubes Based on Donnell Shell Theory Using Wave Propagation Approach

Hussain¹

2018

Novel Nanomaterials - Synthesis and Applications

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This chapter is concerned with the vibration analysis of single-walled carbon nanotubes (SWCNTs). This analysis is based on the Donnell thin shell theory. The wave propagation approach in standard eigenvalue form has been employed in order to derive the characteristic frequency equation describing the natural frequencies of vibration in SWCNTs. The axial modal dependence is measured by the complex exponential functions implicating the axial modal numbers. Vibration frequency spectra are gained and evaluated for physical parameter like length-to-diameter ratios. The dimensionless frequency is also investigated in armchair and zigzag SWCNTs with in-plane rigidity and mass density per unit lateral area for armchair and zigzag SWCNTs. These frequencies of the SWCNTs are computed with the aid of the computer software MATLAB. These results are compared with those obtained using molecular dynamics (MD) simulation and the results are somewhat in agreement.

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Section: Introductionmentioning

confidence: 99%

Vibrational Behavior of Single-Walled Carbon Nanotubes Based on Donnell Shell Theory Using Wave Propagation Approach

Hussain¹

2018

Novel Nanomaterials - Synthesis and Applications

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“…Vibration characteristics of CNTs have been widely examined for the last fifteen years. Such characteristics are studied by thin shell (Yakobson et al, 1996), beam (Hsu et al, 2008) and ring (Vodenitcharova and Zhang, 2003) theories of continuum models (Li and Chou, 2003). Theoretical study of CNTs reflects those mechanical aspects which are difficult to observe by experimental and atomistic simulation methodologies.…”

Section: Introductionmentioning

confidence: 99%

“…They inferred that frequencies obtained by a cylindrical shell model (CSM) are in somewhat agreement those ones determined by MD simulations. Hsu et al (2008) fabricated a CNTs model for analyzing their resonant frequency of chiral SWCNTs. These tubes were studied under a thermal vibration.…”

Section: Introductionmentioning

confidence: 99%

“…Also some new investigation was made with some non-local parameters for nanotube aspect ratio against the fundamental resonant frequency curves different boundary conditions. Increasingly, computer simulations have been used to examine vibration characteristics of CNTs (and or SWCNTs) through different models bases (Li and Chou, 2003;SakhaeePour et al, 2009;Yakobson et al, 1996;Hsu et al, 2008;Azrar et al, 2011;Elishakoff and Pentaras, 2009). Selection of a dynamical model to analyze systems related nano level is Flügge's cylindrical shell model (CSM).…”

Section: Introductionmentioning

confidence: 99%

“…Moreover, the novel Flügge's cylindrical shell model (CSM) based on WPA for estimating the natural frequencies of SWCNTs has been demonstrated to converge faster than the other models and other approaches. The Flügge CSM based on WPA is, therefore, another choice of powerful technique of CNTs whose results are applicable in the limit of acceptable statistical errors than the earlier used approaches (Natsuki and Morinobu, 2006;Hsu et al, 2008;Yakobson et al, 1996;Elishakoff and Pentaras, 2009;Sakhaee-Pour et al, 2009). In this work, the Flügge's CSM based on WPA for determining fundamental frequencies is extended to study vibrations of SWCNTs, which is our particular motivation.…”

Section: Introductionmentioning

confidence: 99%

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Vibration analysis of single-walled carbon nanotubes using wave propagation approach

Hussain

2017

Mech. Sci.

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Abstract. In this paper, influence of boundary conditions on free vibrations of single-walled carbon nanotubes (SWCNTs) is examined. The Flügge's shell dynamical equations are utilized for governing vibrations for carbon nanotubes. The wave propagation approach (WPA) is engaged to determine vibration frequency equation in standard eigenvalue form. The axial modal dependence is measured by the complex exponential functions implicating the axial modal numbers. These numbers are associated with boundary conditions specified at edges of a carbon nanotube. Computer programming is performed to obtain solutions of vibration frequency equation. In our new investigation, the vibration frequency spectra are obtained and analyzed for various physical parameters e.g., length and thickness-to-radius ratio. A number of results are presented to influence of different boundary conditions on SWCNTs. They are shown graphically and have been compared with those available in the literature.

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2012

Carbon Nanotubes and Nanosensors

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Resonance frequency of chiral single-walled carbon nanotubes using Timoshenko beam theory

Cited by 68 publications

References 15 publications

Vibrational Behavior of Single-Walled Carbon Nanotubes Based on Donnell Shell Theory Using Wave Propagation Approach

Vibrational Behavior of Single-Walled Carbon Nanotubes Based on Donnell Shell Theory Using Wave Propagation Approach

Vibration analysis of single-walled carbon nanotubes using wave propagation approach

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