Journal ArticleDOI
Free vibration analysis of carbon nanotubes by using three-dimensional theory of elasticity
Akbar Alibeigloo,M. Shaban +1 more
TLDR
In this paper, the vibration behavior of single-walled carbon nanotubes based on three-dimensional theory of elasticity is studied, where the nonlocal parameter is incorporated into all constitutive equations in three dimensions and governing equations of motion are reduced to the ordinary differential equations in thickness direction by using Fourier series expansion in axial and circumferential direction.Abstract:
This paper studies vibration behavior of single-walled carbon nanotubes based on three-dimensional theory of elasticity To accounting for the size effect of carbon nanotubes, nonlocal theory is adopted to the shell model The nonlocal parameter is incorporated into all constitutive equations in three dimensions Governing differential equations of motion are reduced to the ordinary differential equations in thickness direction by using Fourier series expansion in axial and circumferential direction The state equations obtained from constitutive relations and governing equations are solved analytically by making use of the state space method A detailed parametric study is carried out to show the influences of the nonlocal parameter, thickness-to-radius ratio and length-to-radius ratio Results reveal that excluding small-scale effects caused decreasing accuracy of natural frequencies Furthermore, the obtained closed form solution can be used to assess the accuracy of conventional two-dimensional theoriesread more
Citations
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Journal ArticleDOI
Free vibration analysis of size-dependent shear deformable functionally graded cylindrical shell on the basis of modified couple stress theory
TL;DR: In this paper, size-dependent equations of motion for functionally graded cylindrical shell were developed using shear deformation model and rotation inertia, where material properties of the shell were assumed as continuously variable along thickness, consistent with the variation in the component's volume fraction based on power law distribution.
Journal ArticleDOI
Cylindrical thin-shell model based on modified strain gradient theory
Hamid Zeighampour,Y. Tadi Beni +1 more
TL;DR: In this article, the cylindrical thin-shell model is developed based on modified strain gradient theory, having considered size effects through modified strain gradients theory, and partial equations of shell motion with classical and non-classical corresponding boundary conditions are derived from Hamilton principle.
Journal ArticleDOI
Size-dependent vibration of fluid-conveying double-walled carbon nanotubes using couple stress shell theory
Hamid Zeighampour,Y. Tadi Beni +1 more
TL;DR: In this article, the effect of the van der Waals (vdW) forces between the two walls and the DWCNT surroundings were modeled as a visco-Pasternak foundation.
Journal ArticleDOI
The modified couple stress functionally graded cylindrical thin shell formulation
TL;DR: In this paper, a functionally graded (FG) cylindrical thin shell formulation is developed by using modified couple stress theory, and the equations of motion and classical and nonclassical boundary conditions are extracted based on Hamilton's principle.
Journal ArticleDOI
Wave propagation in double-walled carbon nanotube conveying fluid considering slip boundary condition and shell model based on nonlocal strain gradient theory
TL;DR: In this paper, the effects of nonlocal and material length scale parameters, wave number, fluid velocity and stiffness of elastic foundation are more considerable in the nonlocal strain gradient theory than in classical theory.
References
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Book
Nonlocal Continuum Field Theories
AC Eringen,JL Wegner +1 more
TL;DR: Memory-dependent nonlocal nonlocal Electromagnetic Elastic Solids as mentioned in this paper have been shown to be memory-dependent on nonlocal elasticity and nonlocal linear elasticity, as well as nonlocal Linear Elasticity and Nonlocal Fluid Dynamics.
Journal ArticleDOI
Vibrations of carbon nanotubes and their composites: a review
TL;DR: In this paper, a review of the literature related to the vibratory behavior of carbon nanotubes and their composites is presented, along with key conclusions and recommendations from these studies.
Book
Vibration of laminated shells and plates
TL;DR: In this paper, the authors present a method for analyzing the effect of different kinds of shells on the performance of different types of shells, such as: CURVED BEAMS, PLATES SHALLOW SHELLS, CYLINDRICAL SHELLs, SPHERICAL SHELS, etc.
Journal ArticleDOI
A nonlocal beam theory for bending, buckling, and vibration of nanobeams
TL;DR: In this paper, a nonlocal shear deformation beam theory is proposed for bending, buckling, and vibration of nanobeams using the nonlocal differential constitutive relations of Eringen.
Journal ArticleDOI
Buckling analysis of multi-walled carbon nanotubes: a continuum model accounting for van der Waals interaction
TL;DR: In this paper, the van der Waals (vdW) interaction between any two layers of a multi-walled carbon nanotube (CNT) was derived and an efficient algorithm was established for the buckling analysis of multi-wall CNTs, in which individual tubes are modeled as a continuum cylindrical shell.