Application of Augmented Lagrange Method for Simulation of Laying Wire Rope with Friction Contact

In the laying process of wire rope, friction contact between the wires can affect the forming stress and structure strength. On the basis of the classical Coulomb friction law, augmented Lagrangian method is applied to calculate both the normal contact force and friction contact force, and radial return algorithm is employed to correct the trial friction force. In the one time laying process of wire rope, the effects of friction coefficient and self rotating ratio on the contact stress are analyzed, and the effects of them on the forming stress and strain are also discussed. The results provide the foundation for the rational design of laying process and structure strength of wire rope.