Nonlinear static isogeometric analysis of cable structures

Abstract

The purpose of this paper is to develop and evaluate the efficiency of the cable element based on the Lagrangian formulation using the Isogeometric analysis (IGA) approach. Two Lagrangian formulations (Total Lagrangian and Updated Lagrangian) have been adopted in the static analysis of nonlinear behaviour of the cable structures. The same basis functions are used to represent the geometry of the cable as well as the cable displacement field. These two formulations are tested on benchmark examples and compared to each other and to the existing analysis methods. The influence of a different number of elements, the order of polynomials and the number of numerical integration points was examined. Compared to the other method, the obtained results in benchmark examples indicate the capability and accuracy of the presented approach. This paper demonstrates successful IGA implementation of the Lagrangian formulation for the nonlinear analysis of cable structures.