A new element stiffness matrix is derived for straight cable elements subjected to tension and torsion. The
cross-section of a cable, which may consist of many different structural components, is treated in the
following as a single composite element. The derivation is quite general; consequently, the results can be
used for a broad category of cable configurations. Individual helical armouring wires, for instance, may
have unique geometric and material properties. In addition, no limit is placed on the number of wire layers.
Furthermore, compressibility of the central core element can also be considered. The equations of
equilibrium are first derived to include 'internal' geometric non-linearities produced by large deformations
(axial elongation and rotation) of a straight cable element. These equations are then linearized in a
consistent manner to give a linear stiffness matrix. Linear elasticity is assumed throughout. Excellent
agreement with experimental results for two different cables validates the correctness of the analysis.
%0 Journal Article
%1 knapp1979derivation
%A KNAPP, R.H.
%D 1979
%K Cable TORSION Tension
%T DERIVATION OF A NEW STIFFNESS MATRIX
FOR HELICALLY ARMOURED CABLES
CONSIDERING TENSION AND TORSION
%X A new element stiffness matrix is derived for straight cable elements subjected to tension and torsion. The
cross-section of a cable, which may consist of many different structural components, is treated in the
following as a single composite element. The derivation is quite general; consequently, the results can be
used for a broad category of cable configurations. Individual helical armouring wires, for instance, may
have unique geometric and material properties. In addition, no limit is placed on the number of wire layers.
Furthermore, compressibility of the central core element can also be considered. The equations of
equilibrium are first derived to include 'internal' geometric non-linearities produced by large deformations
(axial elongation and rotation) of a straight cable element. These equations are then linearized in a
consistent manner to give a linear stiffness matrix. Linear elasticity is assumed throughout. Excellent
agreement with experimental results for two different cables validates the correctness of the analysis.
@article{knapp1979derivation,
abstract = {A new element stiffness matrix is derived for straight cable elements subjected to tension and torsion. The
cross-section of a cable, which may consist of many different structural components, is treated in the
following as a single composite element. The derivation is quite general; consequently, the results can be
used for a broad category of cable configurations. Individual helical armouring wires, for instance, may
have unique geometric and material properties. In addition, no limit is placed on the number of wire layers.
Furthermore, compressibility of the central core element can also be considered. The equations of
equilibrium are first derived to include 'internal' geometric non-linearities produced by large deformations
(axial elongation and rotation) of a straight cable element. These equations are then linearized in a
consistent manner to give a linear stiffness matrix. Linear elasticity is assumed throughout. Excellent
agreement with experimental results for two different cables validates the correctness of the analysis.},
added-at = {2021-04-01T18:22:56.000+0200},
author = {KNAPP, R.H.},
biburl = {https://www.bibsonomy.org/bibtex/2aa6dc988914d98cc8445b998e971d273/ceps},
interhash = {4217f0c8836881acc707ce3fd9199a4d},
intrahash = {aa6dc988914d98cc8445b998e971d273},
keywords = {Cable TORSION Tension},
timestamp = {2023-12-21T15:01:49.000+0100},
title = {DERIVATION OF A NEW STIFFNESS MATRIX
FOR HELICALLY ARMOURED CABLES
CONSIDERING TENSION AND TORSION},
year = 1979
}