A method for prediction of the equilibrium state of a long and slender wire on a frictionless toroid applied for analysis of flexible pipe structures

被引：33

作者：

Ostergaard, Niels Hojen ^{[1
]}

Lyckegaard, Anders ^{[2
]}

Andreasen, Jens H. ^{[3
]}

机构：

[1] NKT Flexibles Aalborg Univ, Dept Mech & Prod Engn, Aalborg, Denmark

[2] NKT Flexibles, Brondby, Denmark

[3] Univ Aalborg, Dept Mech & Prod Engn, Aalborg, Denmark

来源：

ENGINEERING STRUCTURES | 2012年 / 34卷

关键词：

Mechanics of flexible pipes; Curved beams; Armour wire equilibrium; CYLINDER;

D O I：

10.1016/j.engstruct.2011.10.012

中图分类号：

TU [建筑科学];

学科分类号：

0813 ;

摘要：

This paper concerns the behavior of a helical wire on a frictionless cylindrical surface subjected to bending, such that the wire in the deformed state constitutes a curve on a toroid. In order to determine the equilibrium in the loaded state, a sixth order system of differential equations based on curved beam equilibrium and concepts from differential geometry will be presented. On this basis, a method for analysis of curved beams on frictionless toroids is established. Helically wound steel wires are widely used in flexible pipes, which have various applications in the offshore industry, in order to ensure the structural integrity against axial loads. The research presented in this paper constitutes a contribution to the field of wire mechanics, since it enables calculation of the frictionless wire equilibrium state within the wall of a flexible pipe. (C) 2011 Elsevier Ltd. All rights reserved.

引用

页码：391 / 399

页数：9

共 13 条

[1]

[Anonymous], 1991, CAFLEX THEOR MAN

[2]

Costello GA, 1977, J ENG MECH DIV P ASC, V103, P1124

[3]

doCarmo MP, 2008, DIFFERENTIAL GEOMETR

[4]

Feret J.J., 1987, J OFFSHORE MECH ARCT, V109

[5]

KRAINCANIC I, 2001, J STRAIN ANAL, V36, P3

[6] Calculation of stresses and slips in helical layers of dynamically bent flexible pipes [J].

Leroy, JM ;

Estrier, P .

OIL & GAS SCIENCE AND TECHNOLOGY-REVUE D IFP ENERGIES NOUVELLES, 2001, 56 (06) :545-554

[7]

Love AEH., 2013, A treatise on the mathematical theory of elasticity

[8]

Ostergaard N. H., 2011, P OMAE

[9] Slippage of helical reinforcing on a bent cylinder [J].

Out, JMM ;

vonMorgen, BJ .

ENGINEERING STRUCTURES, 1997, 19 (06) :507-515

[10]

Reissner E., 1981, J APPL MATH PHYS ZAM, V32

← 1 2 →