Differential quadrature based nonlocal flapwise bending vibration analysis of rotating nanotube with consideration of transverse shear deformation and rotary inertia

Narendar, S.

doi:10.1016/j.amc.2012.07.032

Cited by 31 publications

(13 citation statements)

References 16 publications

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“…They assumed that the bulk stress depends on the second order of the nanobeams thickness. In many other investigations, the nonlocal elasticity theory has been applied to predict the nanostructure mechanical behaviors [Ece and Aydogdu, 2007;Reddy, 2010;Wang and Wang, 2011;ArandaRuiz et al, 2012;Narendar, 2012;Aydogdu, 2014]. From the previous works, one can observe that the effects of size dependent and surface energy studied separately and there are a few papers in which both of these effects are coincidentally studied.…”

Section: Introductionmentioning

confidence: 94%

Dynamic and Stability Analysis of the Rotating Nanobeam in a Nonuniform Magnetic Field Considering the Surface Energy

Baghani

Mohammadi

Farajpour

2016

Int. J. Appl. Mechanics

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It is well-known that rotating nanobeams can have different dynamic and stability responses to various types of loadings. In this research, attention is focused on studying the effects of magnetic field, surface energy and compressive axial load on the dynamic and the stability behavior of the nanobeam. For this purpose, it is assumed that the rotating nanobeam is located in the nonuniform magnetic field and subjected to compressive axial load. The nonlocal elasticity theory and the Gurtin-Murdoch model are applied to consider the effects of inter atomic forces and surface energy effect on the vibration behavior of rotating nanobeam. The vibration frequencies and critical buckling loads of the nanobeam are computed by the differential quadrature method (DQM). Then, the numerical results are testified with those results are presented in the published works and a good correlation is obtained. Finally, the effects of angular velocity, magnetic field, boundary conditions, compressive axial load, small scale parameter and surface elastic constants on the dynamic and the stability behavior of the nanobeam are studied. The results show that the magnetic field, surface energy and the angular velocity have important roles in the dynamic and stability analysis of the nanobeams.

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“…Such structures have been modeled and studied experimentally as rotary nano‐motors with controlled ultrahigh speed, which are applied for controlled biochemical release and demonstrate releasing rate of biochemicals on nanoparticles that can be precisely tuned by mechanical rotations 12 . Rotary effect of nanostructures is of great importance to study, and a lot of researchers have performed analysis on rotating beams 13–17 . Aranda‐Ruiz et al 18 derived the natural frequencies of the flapwise bending vibrations of a nonuniform rotating cantilever nano‐beam considering the rotational force.…”

Section: Introductionmentioning

confidence: 99%

Dynamic analysis of rotating double‐tapered cantilever Timoshenko nano‐beam using the nonlocal strain gradient theory

2020

Math Methods in App Sciences

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Based on the nonlocal strain gradient theory, the coupling nonlinear dynamic equations of a rotating double‐tapered cantilever Timoshenko nano‐beam are derived using the Hamilton principle. The equation of motion is discretized via the differential quadrature method. The effects of the angular velocity, nonlocal parameter, slenderness ratio, cross‐section parameter, and taper ratios are examined and discussed. It is shown that taper ratios and cross‐section parameter play a significant role in the vibration response of a rotating cantilever nano‐beam. Further as rotational angular velocity increases, the taper ratios and cross‐section parameter effect on the frequency response are increased for first modes of vibration.

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“…Narendar [4] modelled a rotating nanotube utilizing the Euler Bernoulli beam theory predicated on continuum mechanics. Later the same author [5] developed the nonlocal flap wise wave propagation of rotating nanotube. Narendar et al [6] deliberate the dispersion features of magnetic response of SWCNTs.…”

Section: Introductionmentioning

confidence: 99%

Thermo magnetic response of nonlocal propagation of waves in rotating graphene tubules

Amuthalakshmi¹,

Prabha²

2020

SN Appl. Sci.

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Thermo magnetic response of propagation of waves in rotating graphene tubules is studied with the aid of nonlocal Euler-Bernoulli beam theory within the framework of spectral analysis. The governing dynamic equation of nonlocal rotating graphene tubules under thermo magnetic response is formulated with the help of equation of thermal force, centrifugal force and electromagnetic force. The dispersion equation of nonlocal rotating graphene tubules under thermo magnetic field is derived. The numerical value of non-dimensional wave number is computed and is represented in terms of scattered curves. The scattered curves of graphene tubules at different rotating speed, nonlocal parameter, temperature and magnetic field strength are also drawn. The results give useful information in the study and design of rotary nano-devices such as nano motors, nanoturbines, nano robots etc. The dispersion curves of non-rotating graphene tubules in the absence of thermal and magnetic field are drawn and are compared with the existing literature.

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“…Nowadays, the recent developments in science and technology has enabled production of various rotating structures in micro and nano scales. Some publications in this new field can be found (Narendar, 2011(Narendar, , 2012Aranda et al, 2012;Danesh and Asghari, 2014) in literature. However, no analytical or numerical study of the static resonance in the nanobars has yet been done.…”

Section: Introductionmentioning

confidence: 99%

Static resonance in rotating nanobars

Güven

2018

jtam

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In this study, static resonance that occurs in rotating nanobars is addressed. The analysis is based on Eringen's nonlocal elasticity theory and is performed in Lagrangian coordinates. Explicit solutions are given for both clamped-free and clamped-clamped boundary conditions. The present study shows that the static resonance phenomenon is largely a critical case requiring attention for rotating nanobars with small lengths.

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“…Ghavanloo et al [21] found that curved CNTs embedded in vicso-elatic medium are unconditionally stable even for a system with sufficiently high flow velocity. Moreover, some investigation on wave propagation, buckling and vibration of CNTs have been done based on nonlocal Timoshenko and higher order beam theories [22][23][24][25][26][27]. In the past decades, several other theories (e.g., gradient elasticity theory and modified couple stress theory) have been used to study the dynamical behaviors of fluid-conveying micro and nanotubes.…”

Section: Introductionmentioning

confidence: 99%

Nonlinear vibration of fluid-conveying single-walled carbon nanotubes under harmonic excitation

Zhen

Fang

2015

International Journal of Non-Linear Mechanics

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Differential quadrature based nonlocal flapwise bending vibration analysis of rotating nanotube with consideration of transverse shear deformation and rotary inertia

Cited by 31 publications

References 16 publications

Dynamic and Stability Analysis of the Rotating Nanobeam in a Nonuniform Magnetic Field Considering the Surface Energy

Dynamic analysis of rotating double‐tapered cantilever Timoshenko nano‐beam using the nonlocal strain gradient theory

Thermo magnetic response of nonlocal propagation of waves in rotating graphene tubules

Static resonance in rotating nanobars

Nonlinear vibration of fluid-conveying single-walled carbon nanotubes under harmonic excitation

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