Vibration Analysis of Fluid Conveying Carbon Nanotubes Based on Nonlocal Timoshenko Beam Theory by Spectral Element Method

Yi, Xiaolei; Li, Baohui; Wang, Zhengzhong

doi:10.3390/nano9121780

Cited by 9 publications

(3 citation statements)

References 52 publications

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“…For many decades, vibration analysis of mechanical structures was a major topic among scientists [1][2][3][4][5][6][7][8][9][10]. Over recent decades, a surge of interest in studying hyperelastic materials was shown.…”

Section: Introductionmentioning

confidence: 99%

Nonlinear Free and Forced Vibrations of a Hyperelastic Micro/Nanobeam Considering Strain Stiffening Effect

et al. 2021

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In recent years, the static and dynamic response of micro/nanobeams made of hyperelasticity materials received great attention. In the majority of studies in this area, the strain-stiffing effect that plays a major role in many hyperelastic materials has not been investigated deeply. Moreover, the influence of the size effect and large rotation for such a beam that is important for the large deformation was not addressed. This paper attempts to explore the free and forced vibrations of a micro/nanobeam made of a hyperelastic material incorporating strain-stiffening, size effect, and moderate rotation. The beam is modelled based on the Euler–Bernoulli beam theory, and strains are obtained via an extended von Kármán theory. Boundary conditions and governing equations are derived by way of Hamilton’s principle. The multiple scales method is applied to obtain the frequency response equation, and Hamilton’s technique is utilized to obtain the free undamped nonlinear frequency. The influence of important system parameters such as the stiffening parameter, damping coefficient, length of the beam, length-scale parameter, and forcing amplitude on the frequency response, force response, and nonlinear frequency is analyzed. Results show that the hyperelastic microbeam shows a nonlinear hardening behavior, which this type of nonlinearity gets stronger by increasing the strain-stiffening effect. Conversely, as the strain-stiffening effect is decreased, the nonlinear frequency is decreased accordingly. The evidence from this study suggests that incorporating strain-stiffening in hyperelastic beams could improve their vibrational performance. The model proposed in this paper is mathematically simple and can be utilized for other kinds of micro/nanobeams with different boundary conditions.

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Section: Introductionmentioning

confidence: 99%

Nonlinear Free and Forced Vibrations of a Hyperelastic Micro/Nanobeam Considering Strain Stiffening Effect

et al. 2021

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“…As an important mechanical property, the vibration characteristics of a CNT have become another hot topic for research in recent years. In [17], the spectral element method (SEM) is applied to analyze the dynamic characteristics of fluid conveying single-walled carbon nanotubes (SWCNTs).…”

Section: Introductionmentioning

confidence: 99%

Effect of Coriolis Force on Vibration of Annulus Pipe

Santi¹,

Francia²,

Cesari³

2021

Applied Sciences

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Annulus pipe conveying fluids have many practical applications, such as hydraulic control lines and aircraft fuel lines. In some applications, these tubes are exposed to high speeds. Normally, this leads to a vibration effect which may be of a catastrophic nature. The phenomenon is not only driven by the centrifugal forces, but an important role is played also by the Coriolis forces. Many theoretical approaches exist for a simple configuration or a complex three-dimensional configuration. Finite element models are tested. This paper provides a numerical technique for solving the dynamics of annulus pipe conveying fluid by means of the mono-dimensional Finite Element Method (FEM). In particular, this paper presents a numerical solution to the equations governing a fluid conveying pipeline segment, where a Coriolis force effect is taken into consideration both for fix and hinge constraint.

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“…One signi cant limitation here is that it was solely reliant on the balance method of the nonlocal continuum thesis. Xiaolei et al focused on the performance of a vibrational analysis of CNTs conveying uid based on the Spectral element method of Timoshenko beam theory [4].…”

mentioning

confidence: 99%

Chaotic forced vibration analysis of a single-walled carbon nanotube resting on elastic foundations

Yinusa,

Ogbonna,

Dada

et al. 2023

JND

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Chaotic presence in nanotube (CNT) vibration is a potential source of imprecision and instability in nanomechanical systems. It is for this reason that the major focus of this paper is on the subject. The system’s vibration model is developed using the Euler–Bernoulli beam and nonlocal theory with consideration of transverse harmonic force, thermal term, magnetic field, and Pasternak foundation influences. The equation of motion is then solved using the Galerkin decomposition method and the Differential transform method (DTM). The influences of velocity, nonlocal parameters, transverse harmonic force, and length on the nonlinear vibration of the nanotube are analyzed using the simulations contained in this paper. For the purpose of convergence and dynamic response analysis, the obtained results in this study were treated with the use of the Cosine-after treatment technique (CAT). The outcome indicates that the controlling parameters such as harmonic force, nonlocal terms, velocity and all other included terms have considerable effects on the behavior of a CNT and can be used as effective control parameters for avoiding chaos.

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Vibration Analysis of Fluid Conveying Carbon Nanotubes Based on Nonlocal Timoshenko Beam Theory by Spectral Element Method

Cited by 9 publications

References 52 publications

Nonlinear Free and Forced Vibrations of a Hyperelastic Micro/Nanobeam Considering Strain Stiffening Effect

Nonlinear Free and Forced Vibrations of a Hyperelastic Micro/Nanobeam Considering Strain Stiffening Effect

Effect of Coriolis Force on Vibration of Annulus Pipe

Chaotic forced vibration analysis of a single-walled carbon nanotube resting on elastic foundations

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