Wave dispersion characteristics of fluid-conveying magneto-electro-elastic nanotubes

Dehghan, M.; Ebrahimi, Farzad; Vinyas, M.

doi:10.1007/s00366-019-00790-5

Cited by 16 publications

(2 citation statements)

References 59 publications

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“…Eltaher et al [13] illustrated the influence of periodic (sine and cosine) and nonperiodic imperfection modes on buckling, post-buckling and dynamics of beam rested on nonlinear elastic foundations. Dehghan et al [6] investigated the wave propagation of fluid-conveying magneto-electroelastic nanotube incorporating fluid effect. Eltaher et al [14] characterized Young's modulus and evaluated vibration and buckling behaviors of CNTs by equivalent-continuum mechanics approach.…”

Section: Introductionmentioning

confidence: 99%

Buckling and post-buckling behaviors of higher order carbon nanotubes using energy-equivalent model

Mohamed

Eltaher

2020

Engineering with Computers

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This paper aims to investigate the size scale effect on the buckling and post-buckling of single-walled carbon nanotube (SWCNT) rested on nonlinear elastic foundations using energy-equivalent model (EEM). CNTs are modelled as a beam with higher order shear deformation to consider a shear effect and eliminate the shear correction factor, which appeared in Timoshenko and missed in Euler-Bernoulli beam theories. Energy-equivalent model is proposed to bridge the chemical energy between atoms with mechanical strain energy of beam structure. Therefore, Young's and shear moduli and Poisson's ratio for zigzag (n, 0), and armchair (n, n) carbon nanotubes (CNTs) are presented as functions of orientation and force constants. Conservation energy principle is exploited to derive governing equations of motion in terms of primary displacement variable. The differential-integral quadrature method (DIQM) is exploited to discretize the problem in spatial domain and transformed the integro-differential equilibrium equations to algebraic equations. The static problem is solved for critical buckling loads and the post-buckling deformation as a function of applied axial load, CNT length, orientations and elastic foundation parameters. Numerical results show that effects of chirality angle, boundary conditions, tube length and elastic foundation constants on buckling and post-buckling behaviors of armchair and zigzag CNTs are significant. This model is helpful especially in mechanical design of NEMS manufactured from CNTs.

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Section: Introductionmentioning

confidence: 99%

Buckling and post-buckling behaviors of higher order carbon nanotubes using energy-equivalent model

Mohamed

Eltaher

2020

Engineering with Computers

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“…The slip boundary condition and surface effects were taken into consideration in their analysis. Dehghan et al 19 analyzed the characteristics of propagating waves in FG magneto-electro-elastic (FG-MEE) nanotubes conveying fluid. NET was hired to formulate the problem on the basis of Love's shell theory.…”

Section: Introductionmentioning

confidence: 99%

On wave dispersion characteristics of fluid-conveying smart nanotubes considering surface elasticity and flexoelectricity approach

Ardalani

Amiri

Talebitooti

et al. 2020

Proceedings of the Institution of Mechanical Engineers, Part C:

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Wave dispersion response of a fluid-carrying piezoelectric nanotube is studied in this paper utilizing an improved model for piezoelectric materials which capture a new effect known as flexoelectricity in conjunction with the surface elasticity. For this aim, a higher order shear deformation theory is employed to model the problem. Furthermore, strain gradient effect as well as nonlocal effect is taken into consideration throughout using the nonlocal strain gradient theory (NSGT). Surface elasticity is also considered to make an accurate size-dependent formulation. Additionally, a non-compressible and non-viscous fluid is taken into consideration to model the flow effect. The wave propagation solution is then implemented to the governing equations obtained by Hamiltonian’s approach. The phase velocity and group velocity of the nanotube is determined for three wave modes (i.e. shear, longitudinal and bending waves) to study the influence of various involved factors including strain gradient, nonlocality, flexoelectricity and surface elasticity and flow velocity on the wave dispersion curves. Results reveal a considerable effect of the flexoelectric phenomenon on the wave propagation properties especially at a specific domain of the wave number. The size-dependency of this effect is disclosed. Overall, it is found that the flexoelectricity exhibits a substantial influence on wave dispersion properties of the smart fluid-conveying systems. Hence, such size-dependent effect should be considered to achieve exact and accurate knowledge on wave propagation characteristics of the system.

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Dynamic stability of viscoelastic nanotubes conveying pulsating magnetic nanoflow under magnetic field

Bahaadini

Hosseini

Amiri

2020

Engineering with Computers

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Wave dispersion characteristics of fluid-conveying magneto-electro-elastic nanotubes

Cited by 16 publications

References 59 publications

Buckling and post-buckling behaviors of higher order carbon nanotubes using energy-equivalent model

Buckling and post-buckling behaviors of higher order carbon nanotubes using energy-equivalent model

On wave dispersion characteristics of fluid-conveying smart nanotubes considering surface elasticity and flexoelectricity approach

Dynamic stability of viscoelastic nanotubes conveying pulsating magnetic nanoflow under magnetic field

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