Free Vibration Analysis of Carbon Nanotubes Based on Shear Deformable Beam Theory by Discrete Singular Convolution Technique

Demir, Çiğdem; Cívalek, Ömer; Akgöz, Bekir

doi:10.3390/mca15010057

Cited by 41 publications

(29 citation statements)

References 32 publications

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“…One can easily find that even 12 grid points is enough to have accurate results. For free vibration analysis, to validate the present formulation and the computer program developed by the author, using the DQ method, our natural frequencies are compared with Reddy [16], Heireche et al [8] and Demir et al [6] in Table 2. Very good agreement is achieved between the results of present work and other methodologies.…”

Section: Numerical Resultsmentioning

confidence: 99%

Static and free vibration analysis of carbon nano wires based on Timoshenko beam theory using differential quadrature method

Janghorban

2011

Lat. Am. j. solids struct.

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Static and free vibration analysis of carbon nano wires with rectangular cross section based on Timoshenko beam theory is studied in this research. Differential quadrature method (DQM) is employed to solve the governing equations. From the knowledge of author, it is the first time that free vibration of nano wires is investigated. It is also the first time that differential quadrature method is used for bending analysis of nano wires.

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Section: Numerical Resultsmentioning

confidence: 99%

Static and free vibration analysis of carbon nano wires based on Timoshenko beam theory using differential quadrature method

Janghorban

2011

Lat. Am. j. solids struct.

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“…Free vibration analysis of carbon nanotubes was investigated based on Timoshenko beam theory by Demir et al [15] who used discrete singular convolution method for solution of governing equations. Civale and Gurses [16] presented free vibration analysis of rotating cylindrical shells using discrete singular convolution technique. Their formulations were based on Love's first approximation shell theory and include the effects of initial hoop tension and centrifugal and Coriolis accelerations due to rotation.…”

Section: Introductionmentioning

confidence: 99%

CNTRC Cylinder Under Non-axisymmetric Thermo-Mechanical Loads and Uniform Electromagnetic Fields

et al. 2014

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In the present research, static stress analysis of carbon nanotube-reinforced composite (CNTRC) cylinder made of polyvinylidene fluoride is carried out. Nonaxisymmetric thermo-mechanical loads are applied on composite cylinder in the presence of uniform longitudinal magnetic field and radial electric field. The surrounded elastic medium is modelled by Pasternak foundation because of its superior to the Winkler model. By means of MoriTanaka method, mechanical properties of CNTRC cylinder are obtained. To enhance the accuracy of results, equilibrium equations are solved analytically by Fourier series approach and distribution of electric displacements, radial, circumferential and effective stresses in CNTRC cylinder are determined. Remarkable effects such as magnetic field intensity, elastic medium, orientation angle and volume fraction of carbon nanotubes (CNTs) on the distribution of effective stress are investigated. Results demonstrate that fatigue life of CNTRC cylinder is significantly dependent on magnetic intensity, orientation angle and volume fraction of CNTs. Results of this investigation can be utilized for optimum design of thick-walled composite cylinders under multiphysical fields.

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“…All these studies are under a broad area known as nano-electromechanical systems (NEMS). Mechanical behavior such as vibration, buckling analysis, bending phenomena of carbon nanorods and nanotubes are generally characterized as micro-electromechanical systems (MEMS) [4][5][6][7]. Carbon nanorods not only possess beam like structures but also have size effect in which bending stiffness and young modulus are diameter dependent [8].…”

Section: Introductionmentioning

confidence: 99%

Higher order nonlocal strain gradient approach for wave characteristics of carbon nanorod

Yakaiah

Rao

2014

NAMC

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Abstract. In this paper an attempt is made to study the wave dispersion characteristics of a carbon nanorod through second, fourth, sixth and eighth order nonlocal strain gradient models. Expressions are derived for both wave number and wave speeds of the nanorod. The wave characteristics of the nanorod obtained from the nonlocal strain gradient models are compared with the classical continuum model. From these models it is observed that sixth order strain gradient model gives the better approximation than the second and fourth order strain gradient models for dynamic analysis. The second and sixth order strain gradient models gave critical wave number at a certain wave frequency, which does not exist in fourth and eight order strain gradient models.

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Free Vibration Analysis of Carbon Nanotubes Based on Shear Deformable Beam Theory by Discrete Singular Convolution Technique

Cited by 41 publications

References 32 publications

Static and free vibration analysis of carbon nano wires based on Timoshenko beam theory using differential quadrature method

Static and free vibration analysis of carbon nano wires based on Timoshenko beam theory using differential quadrature method

CNTRC Cylinder Under Non-axisymmetric Thermo-Mechanical Loads and Uniform Electromagnetic Fields

Higher order nonlocal strain gradient approach for wave characteristics of carbon nanorod

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