Free vibration analysis of viscoelastic nanotubes under longitudinal magnetic field based on nonlocal strain gradient Timoshenko beam model

Zhen, Yaxin; Wen, Shilong; Tang, Ye

doi:10.1016/j.physe.2018.09.005

Cited by 60 publications

(20 citation statements)

References 46 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…Sadeghi-Goughari et al [12] studied the vibration response of a CNT conveying magnetic fluid under a longitudinal magnetic field. Similarly, Ya-Xin Zhena et al [13] modeled the free vibration behaviour of viscoelastic nanotubes under a longitudinal magnetic field and verified the nonlocal parameter-dependence of the natural frequencies. Dai et al [14] explored theoretically the postbuckling properties of nonlocal nanobeams in a longitudinal magnetic field.…”

Section: Introductionmentioning

confidence: 91%

“…The external force qmag consists of the Lorentz force q Z due to the longitudinal magnetic field, and the distributed transverse force Fs due to the effect of surface tension, namely q (mag) = q Z (x) + Fs (13) where the Lorentz force q Z is defined by Eq. (12f), [16], and the distributed transverse force Fs can be defined as [51] Fs =…”

Section: Basic Equations Of the Problem For A Magnetic Field Forcementioning

confidence: 99%

See 1 more Smart Citation

Nonlinear magneto-thermo-elastic vibration of mass sensor armchair carbon nanotube resting on an elastic substrate

Selvamani

Jayan²,

Dimitri

et al. 2020

Curved and Layered Structures

View full text Add to dashboard Cite

The present paper aims at studying the nonlinear ultrasonic waves in a magneto-thermo-elastic armchair single-walled (SW) carbon nanotube (CNT) with mass sensors resting on a polymer substrate. The analytical formulation accounts for small scale effects based on the Eringen’s nonlocal elasticity theory. The mathematical model and its differential equations are solved theoretically in terms of dimensionless frequencies while assuming a nonlinear Winkler-Pasternak-type foundation. The solution is obtained by means of ultrasonic wave dispersion relations. A parametric work is carried out to check for the effect of the nonlocal scaling parameter, together with the magneto-mechanical loadings, the foundation parameters, the attached mass, boundary conditions and geometries, on the dimensionless frequency of nanotubes. The sensitivity of the mechanical response of nanotubes investigated herein, could be of great interest for design purposes in nano-engineering systems and devices.

show abstract

Section: Introductionmentioning

confidence: 91%

Section: Basic Equations Of the Problem For A Magnetic Field Forcementioning

confidence: 99%

Nonlinear magneto-thermo-elastic vibration of mass sensor armchair carbon nanotube resting on an elastic substrate

Selvamani

Jayan²,

Dimitri

et al. 2020

Curved and Layered Structures

View full text Add to dashboard Cite

show abstract

“…In discussing a mechanical response of nanomaterials with magneto-mechanical coupling, the importance of piezomagneticity has been profoundly evaluated by scholars in the contemporary decade [20][21][22][23][24][25][26][27][28][29][30][31][32][33][34][35][36][37][38][39]. However, fewer studies are available regarding flexomagneticity [40][41][42][43][44][45].…”

Section: Introductionmentioning

confidence: 99%

Effect of Axial Porosities on Flexomagnetic Response of In-Plane Compressed Piezomagnetic Nanobeams

2020

View full text Add to dashboard Cite

We investigated the stability of an axially loaded Euler–Bernoulli porous nanobeam considering the flexomagnetic material properties. The flexomagneticity relates to the magnetization with strain gradients. Here we assume both piezomagnetic and flexomagnetic phenomena are coupled simultaneously with elastic relations in an inverse magnetization. Similar to flexoelectricity, the flexomagneticity is a size-dependent property. Therefore, its effect is more pronounced at small scales. We merge the stability equation with a nonlocal model of the strain gradient elasticity. The Navier sinusoidal transverse deflection is employed to attain the critical buckling load. Furthermore, different types of axial symmetric and asymmetric porosity distributions are studied. It was revealed that regardless of the high magnetic field, one can realize the flexomagnetic effect at a small scale. We demonstrate as well that for the larger thicknesses a difference between responses of piezomagnetic and piezo-flexomagnetic nanobeams would not be significant.

show abstract

“…In the studies mentioned above, the classic beam theory is used to predict the resonant frequencies of CNTs. Although the ability of the continuum mechanics in predicting key parameters of vibration behavior is undeniable, in recent studies, the theory of nonlocal elasticity has also been used [9][10][11][12]. Nonlocal elasticity theory considers the scale effect by assuming the stress at a point to be a function of strain field at every other point in the body.…”

Section: Introductionmentioning

confidence: 99%

Nonlocal nonlinear vibration of an embedded carbon nanotube conveying viscous fluid by introducing a modified variational iteration method

Pashaki

2020

J Braz. Soc. Mech. Sci. Eng.

View full text Add to dashboard Cite

In this study, the large amplitude vibration and the stability of embedded carbon nanotubes (CNTs) conveying viscous fluid are analyzed. The effects of small-scale are presented into the model based on the nonlocal elasticity theory by changes in the fluid properties. Moreover, the viscosity effect is modeled by Rayleigh's dissipation function. After separating the time part of the governing equation, a modified method based on He's variational iteration method is proposed, the time response, and the complex nonlinear frequencies are obtained. Then, the effects of the geometric parameters, the velocity and the viscosity of the flowing fluid and small-scale effects are investigated on the nonlinear vibration behavior of CNTs. Results reveal that small-scale effects reduce the critical flow velocity. The viscosity effect appears as the nonlinearity due to large vibration amplitude increases, which cause reduction in both nonlinear frequencies and critical flow velocities.

show abstract

Free vibration analysis of viscoelastic nanotubes under longitudinal magnetic field based on nonlocal strain gradient Timoshenko beam model

Cited by 60 publications

References 46 publications

Nonlinear magneto-thermo-elastic vibration of mass sensor armchair carbon nanotube resting on an elastic substrate

Nonlinear magneto-thermo-elastic vibration of mass sensor armchair carbon nanotube resting on an elastic substrate

Effect of Axial Porosities on Flexomagnetic Response of In-Plane Compressed Piezomagnetic Nanobeams

Nonlocal nonlinear vibration of an embedded carbon nanotube conveying viscous fluid by introducing a modified variational iteration method

Contact Info

Product

Resources

About