Local and Global Instability of Fluid-Conveying Pipes on Elastic Foundations

Doaré, Olivier; Langre, Emmanuel de

doi:10.1006/jfls.2001.0405

Cited by 72 publications

(55 citation statements)

References 21 publications

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“…In all these systems it was observed that there exists a limit state in which the length does not affect the stability. This limit state is found for length larger than a limit value given by simple considerations on the local stability of bending waves [3,7].…”

Section: Introductionmentioning

confidence: 74%

“…As we need to vary the length L, it is necessary to define a new set of dimensionless parameters. We now use a length scale defined by the ratio of the two stiffnesses of the beam, namely the flexural rigidity and the stiffness related to tension induced by gravity [7],…”

Section: Equations Of Motionmentioning

confidence: 99%

“…Motion is then confined to the lower end, corresponding to edge flutter. This has been studied both experimentally and numerically in three of the problems of flow-induced vibrations mentioned above: hanging fluid-conveying pipes [7,10], hanging ribbons under axial flow [12] and towed cylinders under axial flow [3,14]. In all these systems it was observed that there exists a limit state in which the length does not affect the stability.…”

Section: Introductionmentioning

confidence: 99%

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Langre

Doaré

2015

J. Mech. Mater. Struct.

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The linear instability of a beam tensioned by its own weight is considered. It is shown that for long beams, in the sense of an adequate dimensionless parameter, the characteristics of the instability caused by a follower force do not depend on the length. The asymptotic regime significantly differs from that of short beams: flutter prevails for all types of follower loads, and flutter is localized at the edge of the beam. An approximate solution using matched assymptotic expansion is proposed for the case of a semi-infinite beam. Using a local criterion based on the stability of waves, the characteristics of this regime as well as its range of application can be well predicted. These results are finally discussed in relation with cases of flow-induced instabilities of slender structures.

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Section: Introductionmentioning

confidence: 74%

Section: Equations Of Motionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Langre

Doaré

2015

J. Mech. Mater. Struct.

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“…Figure 7 shows the natural frequency of the intact pipe versus the dimensionless flow velocity for the first and second vibration modes. For the clamped-clamped intact pipe, the dimensionless critical flow velocity is Intact 2 cr u π  (Doare and Langer 2002). As it is obvious from the Figure 7, when the flow velocity increases, the pipe natural frequency decreases smoothly until it completely vanishes for u=2π.…”

Section: Effect Of the Flow Velocitymentioning

confidence: 92%

Effect of Open Crack on Vibration Behavior of a Fluid-Conveying Pipe Embedded in a Visco-Elastic Medium

Eslami

Maleki

Rezaee

2016

Lat. Am. j. solids struct.

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In this paper vibration behavior of a fluid-conveying cracked pipe surrounded by a visco-elastic medium has been considered. During this work, the effect of an open crack parameters and flow velocity profile shape inside the pipe on natural frequency and critical flow velocity of the system has been analytically investigated. An explicit function for the local flexibility of the cracked pipe has been offered using principle of the fracture mechanics. Comparison between the results of the present study and the experimental data reported in the literature reveals success and high accuracy of the implemented method. It is demonstrated that the existence of the crack in the pipe, decreases the natural frequency and the critical flow velocity so that the system instability onsets at a lower flow velocity in comparison with the intact pipe. Results indicate that the flow velocity profile shape inside the pipe caused by the viscosity of real fluids, significantly affects the critical flow velocity of both intact and fluid-conveying cracked pipe. For instance, as the flow-profilemodification factor decreases from 1.33 to 1.015, the dimensionless critical flow velocity of intact clamped-clamped pipe increases from 5.45 to 6.24.

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“…Bereznev [8] и др. It should be noted the works deal with pipelines connect with elastic foundation: P. Djondjorov [9], О. Doare [10], Т.V. Maltseva [11], S.V.…”

Section: Introductionmentioning

confidence: 99%

Effect of Internal Pressure on Parametric Vibrations and Dynamic Stability of Thin-Walled Ground Pipeline Larger Diameter Connect with Elastic Foundation

2016

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Abstract. The article describes the research methodology of parametric vibrations and dynamic stability of ground thin-walled large-diameter pipeline. The equation of motion of the middle surface of the cylindrical shell element based on elastic resistance of ground. To determine the frequency of free oscillations using the assumptions of the semimomental theory of cylindrical shells and get a complete system of equations for the case of an articulated fixing of the cylindrical shell. Solving the resulting system in analytical form the expression for determining the square of the frequency of free oscillations of a thin-walled ground gas pipeline of large diameter. The methodology of the study of the dynamic stability of a gas pipeline under unsteady effects of internal operating pressure, and the parameter of the longitudinal compressive force, using Mathieu equations. With the help of the Bogolyubov-Mitropolsky techniques built area of dynamic instability in the form of Ince-Strutt diagram for different values of the internal pressure of the pipeline section, the parameter of the longitudinal compressive force, and parameter of thin-walled h / R.

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Local and Global Instability of Fluid-Conveying Pipes on Elastic Foundations

Cited by 72 publications

References 21 publications

Untitled

Untitled

Effect of Open Crack on Vibration Behavior of a Fluid-Conveying Pipe Embedded in a Visco-Elastic Medium

Effect of Internal Pressure on Parametric Vibrations and Dynamic Stability of Thin-Walled Ground Pipeline Larger Diameter Connect with Elastic Foundation

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