High-accuracy hull iteration method for uncertainty propagation in fluid-conveying carbon nanotube system under multi-physical fields

Lyu, Zheng; Yang, Yue; Liu, Hu

doi:10.1016/j.apm.2019.10.040

Cited by 28 publications

(4 citation statements)

References 55 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…The influences of the external magnetic field and temperature on the stability of functionally graded material nanotubes were investigated. Based on the nonlocal Euler-Bernoulli beam theory, Lyu et al [23] derived the nonlinear governing equation of fluid-conveying carbon nanotubes in elastic media under the action of thermal and magnetic fields. The effects of the small scale, Knudsen number, elastic medium, magnetic field parameters, and temperature variations on the stability of the system were studied.…”

Section: Introductionmentioning

confidence: 99%

Study on the Stability of Functionally Graded Simply Supported Fluid-Conveying Microtube under Multi-Physical Fields

2022

Micromachines

View full text Add to dashboard Cite

The stability of functionally graded simply supported fluid-conveying microtubes under multiple physical fields was studied in this article. The strain energy of the fluid-conveying microtubes was determined based on strain gradient theory, and the governing equation of the functionally graded, simply supported, fluid-conveying microtube was established using Hamilton’s principle. The Galerkin method was used to solve the governing equation, and the effects of the dimensionless microscale parameters, temperature difference, and magnetic field intensity on the stability of the microtube were investigated. The results showed that the dimensionless microscale parameters have a significant impact on the stability of the microtube. The smaller the dimensionless microscale parameters were, the stronger the microscale effect of the material and the better the microtube stability became. The increase in the temperature difference decreased the eigenfrequency and critical velocity of the microtube and reduced the microtube stability. However, the magnetic field had the opposite effect. The greater the magnetic field intensity was, the greater the eigenfrequency and critical velocity were, and the more stable the microtube became.

show abstract

Section: Introductionmentioning

confidence: 99%

Study on the Stability of Functionally Graded Simply Supported Fluid-Conveying Microtube under Multi-Physical Fields

2022

Micromachines

View full text Add to dashboard Cite

show abstract

“…Based on a nonlocal Euler-Bernouli beam model, Rafiei et al [8] investigated the vibrational response of SWCNT conveying fluid resting on a viscoelastic Kelvin foundation. Recent research has revealed that the mechanical features of carbon nanotubes in an applied magnetic field and their magnetic properties have potential applications in the fields of nanosensors, spintronics, as well as micro-and nanoelectro mechanical systems [9][10]. For the chattering of fluid-conveying carbon nanotubes in an applied magnetic field, Ghane et al [11] employed a nonlocal Timoshenko beam model to determine the impacts of magnetic field, flow velocityand small scale effect.…”

Section: Introductionmentioning

confidence: 99%

Vibration and instability of a fluid-conveying nanotube resting on elastic foundation subjected to a magnetic field

Li¹,

Zhou²,

Deng³

et al. 2022

Vib. proced.

View full text Add to dashboard Cite

Using the nonlocal Euler-Bernouli beam model, this paper is carried out to investigate the vibrations and instability of a single-walled carbon nanotube (SWCNT) conveying fluid subjected to a longitudinal magnetic field. The nanobeam with clamped-clamped boundary conditions lies on the Pasternak foundation. Hamilton’s principle is applied to derive the fluid-structure interaction (FSI) governing equation and the corresponding boundary conditions. In the solution part the differential transformation method (DTM) is used to solve the differential equations of motion. The influences of nonlocal parameter, longitudinal magnetic field, Pasternak foundation on the critical divergence velocity of the nanotubes is studied.

show abstract

“…Eltaher et al [32] studied the vibrations of an Euler-Bernoulli nanowire using the finite element method and nonlocal theory for different boundary conditions. Lyu et al [33] was studied the influence of nano-system uncertainties on the critical flow velocity of fluid-conveying carbon nanotubes (CNTs) under multiphysical fields. The nonlinear vibration and instability of a fluid-conveying nanopipe made of functionally graded (FG) materials with consideration of the initial geometric imperfection are investigated by [34].…”

Section: Introductionmentioning

confidence: 99%

On the Dynamics of a Viscoelastic Fluid-Conveying Nanotube

Ibrahim¹,

Widjaja²,

Alattabi³

et al. 2022

Fluid Dynamics &Amp; Materials Processing

View full text Add to dashboard Cite

The objective of the presented study is to perform a vibration analysis and investigate the stability of a viscoelastic-fluid conveying pipe with an intermediate support. The mathematical model is elaborated in the framework of the Euler-Bernoulli beam theory in combination with the Kelvin-Voight viscoelastic approach. The resulting differential equation of motion and the related boundary conditions and compatibility conditions in the mid-span support are solved analytically using a power series method. The results show that an intermediate support located at ξ s = 0.1 and ξ s = 0.5 increases the critical velocity up to 35% and 50.15%, respectively. Also, the non-dimensional critical velocity for an intermediate support at ξ s = 0.1 is 4.83.

show abstract

High-accuracy hull iteration method for uncertainty propagation in fluid-conveying carbon nanotube system under multi-physical fields

Cited by 28 publications

References 55 publications

Study on the Stability of Functionally Graded Simply Supported Fluid-Conveying Microtube under Multi-Physical Fields

Study on the Stability of Functionally Graded Simply Supported Fluid-Conveying Microtube under Multi-Physical Fields

Vibration and instability of a fluid-conveying nanotube resting on elastic foundation subjected to a magnetic field

On the Dynamics of a Viscoelastic Fluid-Conveying Nanotube

Contact Info

Product

Resources

About