The computational efficiency and convergence characteristics of the proposed element formulation compared to other cable element approaches in the literature depend on various factors. The use of numerical integration and implicit expressions in the proposed model may lead to higher computational costs compared to simpler analytical models. However, the accuracy and versatility of the model in capturing the exact tension field and non-uniform cross-sectional stiffness along the cable axis can outweigh the computational overhead in certain scenarios.
In terms of convergence characteristics, the proposed model may exhibit robust convergence behavior due to the inclusion of implicit expressions and numerical integration methods. This can lead to stable and reliable solutions for a wide range of cable structures and loading conditions. Compared to other cable element approaches that may rely on simplifying assumptions or empirical formulations, the proposed model's convergence properties can offer more accurate and precise results, especially for complex cable structures with nonlinear behavior.