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This paper introduces a cable finite element model based on an accuratedescription of the tension field for the static nonlinear analysis of cablestructures. The proposed cable element is developed using the geometricallyexact beam model that adequately considers the effects of large displacements.By neglecting flexural stiffness and shear deformation, the formulation of thecable finite element for scenarios involving given unstrained length andundetermined unstrained length is respectively presented. Additionally, theimplementations of solutions based on complete tangent matrix and elementinternal iteration are introduced. Numerical examples are conducted to validatethe accuracy of the presented formulation for cable analysis under variousconditions and to demonstrate the computational efficiency of the proposedelement and solution method. The results indicate that the proposed cablefinite element not only exhibits extremely high accuracy but also effectivelyaddresses the problem of determining the cable state with an unknown unstrainedlength, demonstrating the wide applicability of the proposed element. Throughthe utilization of an iteration algorithm with arc-length control and theintroduction of additional control conditions, the proposed cable finiteelement can be further utilized to solve complex practical engineeringproblems.

A cable finite element formulation based on exact tension field for static nonlinear analysis of cable structures