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Research Papers: Piper and Riser Technology

Effects of Diameter to Thickness Ratio and External Pressure on the Velocity of Dynamic Buckle Propagation in Offshore Pipelines

[+] Author and Article Information
K. Abedi

Professor

A. R. Mostafa Gharabaghi

Associate Professor
Department of Civil Engineering,
Sahand University of Technology,
Tabriz 51335/1996, Iran

Contributed by the Ocean, Offshore, and Arctic Engineering Division of ASME for publication in the JOURNAL OF OFFSHORE MECHANICS AND ARCTIC ENGINEERING. Manuscript received January 30, 2012; final manuscript received July 8, 2013; published online September 23, 2013. Assoc. Editor: Wei Qiu.

J. Offshore Mech. Arct. Eng 135(4), 041701 (Sep 23, 2013) (11 pages) Paper No: OMAE-12-1010; doi: 10.1115/1.4025143 History: Received January 30, 2012; Revised July 08, 2013

In this paper, a numerical study of the dynamic buckle propagation, initiated in long pipes under external pressure, is presented. For a long pipe, due to the high exerted pressure, local instability is likely to occur; therefore, the prevention of its occurrence and propagation are very important subjects in the design of pipelines. The 3D finite element modeling of the buckle propagation is presented by considering the inertia of the pipeline and the nonlinearity introduced by the contact between its collapsing walls. The buckling and collapse are assumed to take place in the vacuum. The numerical results of the nonlinear finite element analysis are compared with the experimental results obtained by Kyriakides and Netto (2000, “On the Dynamics of Propagating Buckle in Pipelines,” Int. J. Solids Struct., 37, pp. 6843–6878) from a study on the small-scale models. Comparison shows that the finite element results have very close agreement with those of the experimental study. Therefore, it is concluded that the finite element model is reliable enough to be used for nonlinear collapse analysis of the dynamic buckle propagation in the pipelines. In this study, the effects of external pressure on the velocity of dynamic buckle propagation for different diameter to thickness ratios are investigated. In addition, the mathematical relations, based on the initiation pressure, are derived for the velocity of buckle propagation considering the diameter to thickness ratio of the pipeline. Finally, a relation for the buckle velocity as a function of the pressure and diameter to thickness ratio is presented.

Copyright © 2013 by ASME
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References

Figures

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Fig. 1

Deformed pipe in two states of (a) quasi-static and (b) dynamic form [11]

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Fig. 2

The applied imperfection on the studied pipe

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Fig. 3

The geometry of the studied pipe

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Fig. 4

The discretized models in the circumferential direction

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Fig. 5

The finite element model of the studied pipe

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Fig. 6

Ramberg–Osgood stress–strain curve for n = 12

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Fig. 7

The comparison of the numerical and experimental results (quasi-static buckle propagation)

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Fig. 8

The deformation of the studied pipe due to the quasi-static buckle propagation

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Fig. 9

The deformation of developed model due to dynamic buckle propagation

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Fig. 10

The longitudinal section of deformed shape

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Fig. 11

The impact indenter and subsequent dynamic buckle propagation of the pipe

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Fig. 12

Responses of displacement-time history for two selected nodes of pipe model

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Fig. 13

The comparison of the numerical and experimental results (dynamic buckle propagation)

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Fig. 14

The normalized velocity versus the normalized pressure obtained for D/t = 27.9

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Fig. 15

The normalized velocity versus the normalized pressure obtained for D/t = 15

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Fig. 16

The normalized velocity versus the normalized pressure obtained for D/t = 20

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Fig. 17

The normalized velocity versus the normalized pressure obtained for D/t = 35

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Fig. 18

The normalized velocity versus the normalized pressure obtained for D/t = 40

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Fig. 19

The normalized velocity versus the normalized pressure obtained for D/t = 50

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Fig. 20

The buckle velocity as a function of pressure and diameter to thickness ratio

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Fig. 21

Pipe widthwise and lengthwise sections for D/t = 15

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Fig. 22

Pipe widthwise and lengthwise sections for D/t = 20

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Fig. 23

Pipe widthwise and lengthwise sections for D/t = 35

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Fig. 24

Pipe widthwise and lengthwise sections for D/t = 40

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Fig. 25

Pipe widthwise and lengthwise sections for D/t = 50

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Fig. 26

The velocity–pressure responses obtained for different diameter to thickness ratios

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