scholarly journals Vibration behavior of simply supported inclined single-walled carbon nanotubes conveying viscous fluids flow using nonlocal Rayleigh beam model

2013 ◽  
Vol 37 (4) ◽  
pp. 1836-1850 ◽  
Author(s):  
Keivan Kiani
Keyword(s):  
Carbon Nanotubes ◽  
Single Walled Carbon Nanotubes ◽  
Viscous Fluids ◽  
Beam Model ◽  
Simply Supported ◽  
Single Walled Carbon ◽  
Rayleigh Beam ◽  
Vibration Behavior ◽  
Walled Carbon Nanotubes

Vibrational analysis of sandwich sectorial plates with functionally graded sheets reinforced by aggregated carbon nanotube

2018 ◽  
Vol 22 (5) ◽  
pp. 1496-1541 ◽  
Author(s):  
Vahid Tahouneh
Keyword(s):  
Carbon Nanotubes ◽  
Carbon Nanotube ◽  
Boundary Conditions ◽  
Single Walled Carbon Nanotubes ◽  
Functionally Graded ◽  
Constitutive Law ◽  
Two Dimensional ◽  
Simply Supported ◽  
Single Walled Carbon ◽  
Walled Carbon Nanotubes

In the present work, by considering the agglomeration effect of single-walled carbon nanotubes, free vibration characteristics of functionally graded nanocomposite sandwich sectorial plates are presented. The volume fractions of randomly oriented agglomerated single-walled carbon nanotubes are assumed to be graded in the thickness direction. To determine the effect of carbon nanotube agglomeration on the elastic properties of carbon nanotube-reinforced composites, a two-parameter micromechanical model of agglomeration is employed. In this research work, an equivalent continuum model based on the Eshelby–Mori–Tanaka approach is considered to estimate the effective constitutive law of the elastic isotropic medium (matrix) with oriented straight carbon nanotubes. The two-dimensional generalized differential quadrature method as an efficient and accurate numerical tool is used to discretize the equations of motion and to implement the various boundary conditions. The proposed sectorial plates are simply supported at radial edges, while all possible combinations of free, simply supported, and clamped boundary conditions are applied to the other two circular edges. The benefit of using the considered power-law distribution is to illustrate and present useful results arising from symmetric and asymmetric profiles. The effects of agglomeration, geometrical, and material parameters together with the boundary conditions on the frequency parameters of the sandwich functionally graded nanocomposite plates are investigated. It is shown that the natural frequencies of structure are seriously affected by the influence of carbon nanotubes agglomeration. This study serves as a benchmark for assessing the validity of numerical methods or two-dimensional theories used to analyze the sandwich sectorial plates.

scholarly journals Small size and rotary inertia effects on the natural frequencies of carbon nanotubes

2018 ◽  
Vol 5 (1) ◽  
pp. 273-279 ◽  
Author(s):  
Ömer Civalek ◽  
Hakan Ersoy ◽  
Hayri Metin Numanoğlu ◽  
Bekir Akgöz
Keyword(s):  
Carbon Nanotubes ◽  
Couple Stress ◽  
Natural Frequencies ◽  
Single Walled Carbon Nanotubes ◽  
Rotary Inertia ◽  
Solution Technique ◽  
Single Walled Carbon ◽  
Rayleigh Beam ◽  
Modified Couple Stress ◽  
Walled Carbon Nanotubes

AbstractIn the present paper, rotary inertia and small size effects on the free vibration response of single-walled carbon nanotubes are examined. The equations in motion and associated boundary conditions are obtained by using Hamilton’s principle on the basis of modified couple stress and Rayleigh beam theories. The size effect is taken into account by modified couple stress theory while the rotary inertia effect is considered by Rayleigh beam theory. The resulting equations are analytically solved by implementing Navier’s solution technique for pinned-pinned carbon nanotubes. Influences of slenderness ratio, length scale parameter and rotary inertia on the natural frequencies of single-walled carbon nanotubes are studied in detail.

scholarly journals The Cohesive Energy and Vibration Characteristics of Parallel Single-Walled Carbon Nanotubes

Molecules ◽  
2021 ◽  
Vol 26 (24) ◽  
pp. 7470
Author(s):  
Jun Wang ◽  
Yinfeng Chen ◽  
Peishi Yu
Keyword(s):  
Carbon Nanotubes ◽  
Cohesive Energy ◽  
Single Walled Carbon Nanotubes ◽  
Vibration Characteristics ◽  
Dynamics Simulation ◽  
Beam Model ◽  
Euler Beam ◽  
Single Walled Carbon ◽  
Walled Carbon Nanotubes ◽  
Vdw Interaction

Based on the van der Waals (vdW) interaction between carbon atoms, the interface cohesive energy between parallel single-walled carbon nanotubes was studied using continuous mechanics theory, and the influence of the diameter of carbon nanotubes and the distance between them on the cohesive energy was analyzed. The results show that the size has little effect on the cohesive energy between carbon nanotubes when the length of carbon nanotubes is over 10 nm. At the same time, we analyzed the cohesive energy between parallel carbon nanotubes with the molecular dynamics simulation method. The results of the two methods were compared and found to be very consistent. Based on the vdW interaction between parallel carbon nanotubes, the vibration characteristics of the two parallel carbon nanotube system were analyzed based on the continuous mechanical Euler-beam model. The effects of the vdW force between carbon nanotubes, the diameter and length of carbon nanotubes on the vibration frequency of carbon nanotubes was studied. The obtained results are helpful in improving the understanding of the vibration characteristics of carbon nanotubes and provide an important theoretical basis for their application.

scholarly journals The computation of bending eigenfrequencies of single-walled carbon nanotubes based on the nonlocal theory

2018 ◽  
Vol 9 (2) ◽  
pp. 349-358
Author(s):  
Jozef Bocko ◽  
Pavol Lengvarský ◽  
Róbert Huňady ◽  
Juraj Šarloši
Keyword(s):  
Carbon Nanotubes ◽  
Nonlocal Parameter ◽  
Beam Theory ◽  
Single Walled Carbon Nanotubes ◽  
Nonlocal Theory ◽  
Huge Amount ◽  
Simply Supported ◽  
Single Walled Carbon ◽  
Walled Carbon Nanotubes ◽  
Good Agreement

Abstract. In this work, a recently proposed nonlocal theory of bending is used in the analysis of eigenfrequencies of single-walled carbon nanotubes (SWCNTs). The nanotube vibration is analyzed in the form of a homogenized continuum. Classical treatment where a nanotube is approximated by standard beam theory, is replaced by the more sophisticated nonlocal method of material interactions where a nonlocal parameter is used. The eigenfrequencies are computed by the combination of analytical as well as numerical methods for four different carbon nanotube (CNT) supports. Various types of supports are considered for the analysis: fixed–simply supported, fixed–free, simply–simply supported and fixed–fixed. Due to the huge amount of computed data, only outcomes of eigenfrequency computations for the nanobeams of armchair type with fixed and simply supported ends, and different nonlocal parameters are represented in the form of graphs at the end of the article. The study shows how the nanotube eigenfrequencies depend on nonlocal parameters as well as on the length and diameter of CNTs. The obtained results are in good agreement with the results published in papers which were gained by different procedures.

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