Nonlinear analysis of cable systems with point based iterative procedure

TLDR: In this article, a computer program has been developed to present a very effective calculation method for structural systems with cable elements using point-based iterative procedure and convergence procedure to prevent excessive displacements through the calculations.

Abstract: Geometric nonlinear static analysis of structural systems with cable elements is carried out using point based iterative procedure. In all sub systems as cable systems, constituted for each node having at least one degree of freedom that is idealized by finite elements, successive calculations are performed. In the analysis part, based on finite element displacement method, to the maximum number of unknown displacements required for each sub-system calculation is limited with three. Tangent stiffness matrix, including pre-stressed internal forces as well as varying geometries with respect to different external force applications, is utilized. The convergence procedure is adapted into the method to prevent excessive displacements through the calculations. In the present study, a computer program has been developed to present a very effective calculation method. Different numerical applications have been considered and the results were compared with the literature results.   Key words: Cable systems, nonlinear analysis, point based iterative procedure, convergence procedure.