Nonlocal wave propagation in rotating nanotube

Narendar, S.; Gopalakrishnan, S.

doi:10.1016/j.rinp.2011.06.002

Cited by 74 publications

(51 citation statements)

References 41 publications

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“…Narendar and Gopalakrishnan [40] analyzed the wave disper sion behavior of a uniform rotating nanotube modeled as an non local Euler Bernoulli beam. They consider the spatial variation of the centrifugal force in and average sense, replacing the variable ax ial effort by the maximum force (at the root of the nanocantilever).…”

Section: Introductionmentioning

confidence: 99%

Bending vibrations of rotating nonuniform nanocantilevers using the Eringen nonlocal elasticity theory

Aranda-Ruiz

Loya

Fernández-Sáez

2012

Composite Structures

109

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a b s t r a c tThe natural frequencies of the flapwise bending vibrations of a nonuniform rotating nanocantilever has been calculated, considering the true spatial variation of the axial force due to the rotation. The area of the nanobeam cross section is assumed to change linearly. The problem has been formulated using the nonlocal Eringen elasticity theory and it was solved by a pseudo spectral collocation method based on Chebyshev polynomials. The effect of the nonlocal small scale, angular speed, nonuniformity of the sec tion and hub radius on the vibration behavior of the nanocantilever is discussed.

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Section: Introductionmentioning

confidence: 99%

Bending vibrations of rotating nonuniform nanocantilevers using the Eringen nonlocal elasticity theory

Aranda-Ruiz

Loya

Fernández-Sáez

2012

Composite Structures

109

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“…Ref. [4], for instance, deals with wave propagation in a rotating nanotube and in [5], it was investigated the vibrational behaviour of a rotating shaft based single-walled carbon nanotube. Reference [6] proposes a nano screw pump by use of rotating helical nanowires and Ref.…”

Section: Introductionmentioning

confidence: 99%

Spin current generation and control in carbon nanotubes by combining rotation and magnetic field

Cunha¹,

Lima²,

Moraes³

et al. 2020

J. Phys.: Condens. Matter

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We study the quantum dynamics of ballistic electrons in rotating carbon nanotubes in the presence of a uniform magnetic field. When the field is parallel to the nanotube axis, the rotation-induced electric field brings about the spin-orbit interaction which, together with the kinetic, inertial, and Zeeman terms, compose the Schrödinger-Pauli Hamiltonian of the system. Full diagonalization of this Hamiltonian yields the eigenstates and eigenenergies leading to the calculation of the charge and spin currents. Our main result is the demonstration that, by suitably combining the applied magnetic field intensity and rotation speed, one can tune one of the currents to zero while keeping the other one finite, giving rise to a spin current generator. arXiv:2001.07024v1 [cond-mat.mes-hall]

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“…Murmu and Adhikari [30], studied the vibration characteristics of the same problem subjected to an initial prestress. Narendar and Gopalakrishnan [31], investigated the wave dispersion behavior of a rotating uniform nanotube, using a nonlocal Euler-Bernoulli beam. They consider the maximum centrifugal force (at the root of the nanocantilever) as the axial force.…”

Section: Introductionmentioning

confidence: 99%

DQEM analysis of free transverse vibration of rotating non-uniform nanobeams in the presence of cracks based on the nonlocal Timoshenko beam theory

2019

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This paper deals with the free transverse vibration characteristics of a rotating non-uniform nanocantilever with multiple open cracks. Employing Eringen's nonlocal elasticity and the Timoshenko beam theory, the non-dimensional governing differential equations for the above-mentioned problem are derived. The cracked beam is divided into intact sub-beams between two subsequent cracks connected by linear and rotational springs. Differential quadrature element method is utilized to solve the established governing equations of motion of each segment, along with the corresponding boundary conditions and compatibility conditions at the cracked sections. The frequency parameters and vibration modes of the rotating cracked beam for different crack positions and severities under various nonlocal, geometric and dynamic conditions are studied, and the relevant graphs are plotted. Since rotating nanocantilevers are found mostly as blades of rotating nanodevices, the results can provide useful guidance for the study and design of the next generations of nanoturbines, nanogears etc.

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Nonlocal wave propagation in rotating nanotube

Cited by 74 publications

References 41 publications

Bending vibrations of rotating nonuniform nanocantilevers using the Eringen nonlocal elasticity theory

Bending vibrations of rotating nonuniform nanocantilevers using the Eringen nonlocal elasticity theory

Spin current generation and control in carbon nanotubes by combining rotation and magnetic field

DQEM analysis of free transverse vibration of rotating non-uniform nanobeams in the presence of cracks based on the nonlocal Timoshenko beam theory

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