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M

ay

2010

105

A

rticle

Experimental and FEM investigation

on influence of ring stiffeners

on buckling behaviour of subsea

pipelines under hydrostatic pressure

H Showkati

– Civil Eng. Department, Urmia University, Urmia, Iran

R Shahandeh

– Civil Eng. Department, Sama organization (affiliated with Islamic Azad university), Khoy branch, Khoy, Iran

Abstract

Submarine pipeline is considered as a thin walled structure and,

therefore, buckling is an important consideration at design stage.

Initial buckling is created on pipeline because of problems such

as additional force on a point of pipeline, existing imperfections

on it or because of forces increasing and because of this buckling

propagation is started on the pipeline. These occurrences cause the

estimated strength of pipelines to decrease. For the prevention of

this problem the application of ring-stiffeners is a good solution. For

this purpose experimental and FEM analysis programs are arranged

for investigating the influences of ring stiffeners on buckling strength

of pipelines.

Pipelines are subjected to many forces such as hydrodynamic

and hydrostatic pressure, the dynamic effect of waves, free span

and so on. Because of the importance of hydrostatic pressure and

experimental limitations, this type of force is modelled and studied

in this paper. All models in experimental and FEM methods are

geometrically corresponded together. The modes of initial buckling,

buckling propagation and post-buckling of pipeline are evaluated

and compared in both methods. It was found in this research that

these quantities are highly influenced by attached light weight ring

stiffeners. Some new phenomena appeared with increasing the

number of rings such as torsion effects and lateral displacement

on pipeline. Keywords: pipeline, initial buckling, post-buckling, ring

stiffener.

Introduction

Pipelines include the most valuable of the oil and gas industries

and because of this, investigation of its characters its very

important. Important problems are included, pressure of initial

buckling, buckling propagation pressure and modes of collapsing.

Until now, many researchers studied these problems. According

to these studies most of these researchers and designers and

reputable standards suggested some relations for designing. Shell

Development Company lab studied about initial buckling pressure

and presented relation (1):

(1)

And some standards such as BSI, API, ABS, DNV

[1, 2, 3, 4]

, presented

for buckling propagation following relations, respectively (2,3,4,5):

(2)

(3)

(4)

(5)

“Palmer” and "Martin”, according to their experimental and theoretical

studies, presented first theoretic relation for buckling propagation

pressure. “Mesloh” et al (1976), “Kyriakides” and “Babcock” (1981),

studied this problem experimentally and presented their relations

[5, 6]

.

“Hutchinson” and “Charter” (1984) according to the principle of

virtual work studied pipeline

s elastic-plastic collapsing under

external pressure. “Kamalarasa” and “Calladine” (1988) developed

Palmer

s manner to a 3-dimensional model which had good

corresponding with experimental results

[7]

. “Murray” and “Zhou”

(1994) according to theory of shells investigated on local buckling

behaviour of pipelines under complex loads

[8]

. “Pasqualino” and

“Estefen” (2001) theoretically studied about buckling propagation

of pipelines

[9]

. “Kyriakides” and “Netto” (1999) experimentally and

theoretically investigated on dynamic propagating of buckling of

pipelines under external pressure

[10, 11]

.

P

P

buckling propagation pressure

D

pipeline diameter

P

i

initial buckling pressure

t

pipeline thickness

L

rings spacing

L

specimen length

S

y

minimum yielding pressure

n

number of waves

s

y

yielding stress of pipeline steel

E

material tangent modulus

SMYS

minimum characteristic yielding

stress of pipeline steel

t

nom

nominal wall thickness of pipeline

S

minimum characteristic yielding

stress of steel pipeline

D

0

outer diameter of pipeline

q

cr

critical buckling pressure

Notations