Vibration analysis of nanotubes conveying fluid based on gradient elasticity theory

Wang, Lin

doi:10.1177/1077546311403957

Cited by 29 publications

(9 citation statements)

References 41 publications

(46 reference statements)

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“…Various interpretations are given to explain the appearance of extra vibrational modes in liquids and they are associated with pseudo-lattice oscillations or intra molecular vibrations. This effect is strong, particularly, in a dense and compact liquid [12].…”

Section: Discussionmentioning

confidence: 93%

A New Insight for Faraday’s Law

Joshi¹

2014

WJM

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The origin for one of the fundamental laws of electromagnetism, namely Faraday's law is explained for the first time on the basis of the presence of strings in the form of a compact liquid. The rate of change of the magnetic field produces a pressure gradient in the medium giving rise to the fluid flow. According to fluid dynamics, the stress and the gradient of strain are originated in the space which creates vibrations in the system and is related with the electric field. The details of the mechanism which produces a circular motion of the electric field, ∇XE, are also addressed.

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Section: Discussionmentioning

confidence: 93%

A New Insight for Faraday’s Law

Joshi¹

2014

WJM

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“…(2003) introduced the MSGT which contains three additional material length scale parameters in the constitutive equation. Numerous researches in the ﬁeld of FSI have been performed to assess the mechanical behavior of the microtubes conveying fluid based on the MSGT and MCST (Wang, 2010; Xia and Wang, 2010; Yin et al., 2011; Wang, 2012; Kaviani and Mirdamadi, 2013; Kural and Özkaya, 2015; Hosseini and Bahaadini, 2016).…”

Section: Introductionmentioning

confidence: 99%

Flow-induced vibration and stability analysis of carbon nanotubes based on the nonlocal strain gradient Timoshenko beam theory

Bahaadini

Saidi

Hosseini

2018

Journal of Vibration and Control

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A nonlocal strain gradient Timoshenko beam model is developed to study the vibration and instability analysis of the carbon nanotubes conveying nanoflow. The governing equations of motion and boundary conditions are derived by employing Hamilton’s principle, including the effects of moving fluid, material length scale and nonlocal parameters, Knudsen number and gravity force. The material length scale and nonlocal parameters are considered, in order to take into account the size effects. Also, to consider the small-size effects on the flow field, the Knudsen number is used as a discriminant parameter. The Galerkin approach is chosen to analyze the governing equations under clamped–clamped, clamped–hinged and hinged–hinged boundary conditions. It is found that the natural frequency and critical fluid velocity can be decreased by increasing the nonlocal parameter or decreasing the material length scale parameter. Furthermore, it is revealed that the critical flow velocity does not affected by two size-dependent parameters and various boundary conditions in the free molecular flow regime.

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“…Liang and Wen (2011) studied forced vibrations with the internal resonance of a clamped-clamped pipe conveying fluid under external periodic excitation via the multidimensional Lindstedt-Poincare´method. Via the theory of strain gradient elasticity combined with inertia gradients, Wang (2011) analyzed the fluid structure interaction vibration of fluid-conveying nanotubes and investigated the size effect on the dynamical behavior of nanotubes conveying fluid. Huang et al (2010; investigated natural frequency equations of fluid-structure interaction in a pipe conveying fluid with different boundary conditions, and solved them by the eliminated element-Galerkin method and the direct method, separately.…”

Section: Introductionmentioning

confidence: 99%

The dynamic reliability analysis of pipe conveying fluid based on a refined response surface method

Zhai

Liu

et al. 2013

Journal of Vibration and Control

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The dynamic reliability of the pipe conveying fluid was analyzed by a refined response surface method (RSM) in this study. In the refined RSM, a new response surface expression was proposed based on functional variables with the physical characteristics of basic random variables. The sampling points were located on Gauss Hermite integration points along the coordinate axes of standard normal random variables. The response surface was constituted via an iterative strategy, in which the information of the sampling points could be utilized richly. On the other hand, Hamilton’s principle for open systems was applied to formulate the motion equations of the pipe conveying non-uniform axial fluid. The proposed RSM was used to analyze the dynamic reliability and sensitivity of the pipe conveying non-uniform axial fluid. As shown in the numerical results, the refined response surface method leads to the better approximation of the nonlinear limit state function, higher precision and better stability of the failure probability estimation, especially for the dynamic reliability analysis of the pipe conveying fluid.

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Vibration analysis of nanotubes conveying fluid based on gradient elasticity theory

Cited by 29 publications

References 41 publications

A New Insight for Faraday’s Law

A New Insight for Faraday’s Law

Flow-induced vibration and stability analysis of carbon nanotubes based on the nonlocal strain gradient Timoshenko beam theory

The dynamic reliability analysis of pipe conveying fluid based on a refined response surface method

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