A fluid–structure interaction model for stability analysis of shells conveying fluid

Firouz-Abadi, R. D.; Noorian, M. A.; Haddadpour, H.

doi:10.1016/j.jfluidstructs.2010.04.003

Cited by 47 publications

(13 citation statements)

References 23 publications

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“…Gomes Bastos [9] proposed a fluid-structurecoupled 8-equation model by using the Gear stiffness method and the Glimm method, and the results were in good agreement with the experimental data used in the literature to some extent. Firouz-Abadi et al [10] applied the method of boundary element and modal analysis to establish the fluid-structure interaction model of the pipeline and confirmed that the model stability can be analyzed by arbitrary geometric cross section pipelines. Zhang and Tijsseling [11] discussed the fluid-solid coupling vibration characteristics of the conveying fluid pipeline in the axial direction and derived the transient vibration differential equations of liquid-solid coupling using the Fourier transform and the method of characteristics.…”

Section: Introductionmentioning

confidence: 99%

Influence of Support Stiffness on Dynamic Characteristics of the Hydraulic Pipe Subjected to Basic Vibration

Zhang

et al. 2018

Shock and Vibration

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The basic vibration generated during the tunneling process of hard rock tunnel results in the change of the support stiffness of the hydraulic pipe, which causes the problem of reduction of pipe transmission efficiency. A transverse motion equation of the hydraulic pipe was established by correlating with Hamilton’s principle under basic vibration. In consideration of the fluid-structure interaction (FSI), the support was simplified as an equivalent and a spring. The bidirectional fluid-solid coupling analysis method was used to investigate dynamic characteristics of the pipeline under different support stiffness conditions. The finite element method (FEM) and the experimental analysis are applied to verify the proposed methodology. The numerical results show that the maximum displacement of the pipe decreases with the increase of the support stiffness; the maximum stress of the pipe decreases first and then increases with the increase of the support stiffness; the amplitude of the fluid pressure fluctuation at the outlet of the pipe increases with the increase of the support stiffness. But the fluid pressure fluctuation with the higher stiffness is first stable, which can indicate that the support stiffness can increase the damping of the pipe system. This study can get a significant access to the structural design of the pipeline under basic vibration.

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Section: Introductionmentioning

confidence: 99%

Influence of Support Stiffness on Dynamic Characteristics of the Hydraulic Pipe Subjected to Basic Vibration

Zhang

et al. 2018

Shock and Vibration

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“…However, fluid or gas conveying structures with configuration slightly or strongly different from a round section are extensively used in modern technologies, which generates a need to develop numerical algorithms for simulation of their behavior. Recently [1] an effective complex algorithm has been proposed for shells with arbitrary geometry. It combines the boundary element method for description of the potential fluid behavior and the finite element method for elastic bodies.…”

Section: Introductionmentioning

confidence: 99%

“…It combines the boundary element method for description of the potential fluid behavior and the finite element method for elastic bodies. In this paper, the behavior of shells having an elliptical cross section is investigated by a 3D finite-element algorithm, which is based on the potential fluid model but in contrast to [1] takes into account compressibility of the flowing fluid.…”

Section: Introductionmentioning

confidence: 99%

Numerical modeling of elliptical cylindrical shells, containing flowing fluid

Бочкарев

Lekomtsev

Матвеенко

2013

Proc Appl Math and Mech

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The paper presents a finite-element algorithm for investigation of the dynamic behavior of elastic shells with arbitrary cross sections containing a flowing fluid. A curvilinear surface of the structure is approximated by a set of plane elements, which are subjected to both membrane and bending forces. Description of the shell motion is based on the variable principle of virtual displacements, which includes the linearized Bernoulli equation for calculation of hydrodynamic pressure. A compressible non-viscous fluid is considered in the framework of the potential theory, the equations of which are transformed with the use of the Bubnov-Galerkin method. The performance of the algorithm is demonstrated by the example of two shells with a circular and elliptical cross section. Numerical simulation have been carried out to analyze the influence of the ratio of the ellipse semi-axes, the linear dimensions of the structure and the level of shell filling on the hydrodynamic stability of the connected "shell-fluid" system.

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“…A functional analytical solution for the reaction of the fluid has been found for a stationary plate in axial flow by Kornecki et al (1976). See also Dugundji et al (1963), Guo and Païdoussis (2000), and Firouz-Abadi et al (2010), and for a summary comparing the different results, the book by Païdoussis (2004).…”

Section: Introductionmentioning

confidence: 99%

Dynamic behaviour of an axially moving plate undergoing small cylindrical deformation submerged in axially flowing ideal fluid

Баничук

Jeronen

Neittaanmäki

et al. 2011

Journal of Fluids and Structures

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The out-of-plane dynamic response of a moving plate, travelling between two rollers at a constant velocity, is studied, taking into account the mutual interaction between the vibrating plate and the surrounding, axially flowing ideal fluid. Transverse displacement of the plate (assumed cylindrical), is described by an integrodifferential equation that includes a local inertia term, Coriolis and centrifugal forces, the aerodynamic reaction of the external medium, the vertical projection of membrane tension, the bending resistance, and external perturbation forces. In the two-dimensional model thus set up, the aerodynamic reaction is found analytically as a functional of the cylindrical displacement, using the techniques of complex analysis. The resulting integro-differential problem is discretized in space with the Fourier-Galerkin method, and integrated in time with the diagonalization method. Examples are computed with physical parameters corresponding to air and some paper materials. The effects of the surrounding fluid on the critical velocity and first natural frequency are investigated, for stationary air, for an air mass moving with the plate, and for some arbitrary axial fluid velocities. The obtained results are applicable for both an ideal membrane and a plate with nonzero bending rigidity.

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A fluid–structure interaction model for stability analysis of shells conveying fluid

Cited by 47 publications

References 23 publications

Influence of Support Stiffness on Dynamic Characteristics of the Hydraulic Pipe Subjected to Basic Vibration

Influence of Support Stiffness on Dynamic Characteristics of the Hydraulic Pipe Subjected to Basic Vibration

Numerical modeling of elliptical cylindrical shells, containing flowing fluid

Dynamic behaviour of an axially moving plate undergoing small cylindrical deformation submerged in axially flowing ideal fluid

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