OBTAINING THE STIFFNESS MATRIX OF THE CARRYING CABLE OF A SINGLE-SPAN SUSPENSION PIPELINE
DOI:
https://doi.org/10.31471/2304-7399-2025-20(76)-227-243Keywords:
carrying cable, suspension pipeline, span, deflection boom, stiffness matrix, numerical methods, discrete model.Abstract
The paper considers the development of a discrete model of the carrying cable of a suspension pipeline, in which the suspension attachment points are simultaneously serve as the points for discretizing the cable parameters. To obtain the stiffness matrix of the carrying cable, the behavior of two processes was modeled: the sag of the supporting cable under its own weight and additional load. The discrete model was constructed in two stages. First, the values of vertical coordinates were obtained in the case of symmetrical loading. The second stage involved verification of the model and its extension to asymmetric loading.
The application of numerical calculation methods based on a discrete model made it possible to obtain the coordinates of the cable's nodal points in two extreme positions - the initial one and under the action of five equal forces of 20 KN each, which were applied to the nodes. The linearization of the dependence “force-displacement of a knot” was carried out over the interval of change in the additional force load [0...20 KN]. This made it possible to determine the shares of each force in the total vector of node displacements. On the basis of these data the linearized matrix of pliability of flexible carrying cable with nonlinear characteristics of the system “pipeline - carrying cable” was finally obtained. An example of using the ductility matrix to determine the displacements of the cable nodes under asymmetric additional load is shown.
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