%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 }