A robust and efficient numerical finite element method for cables

Charlélie Bertrand (1, 2, 3) , Vincent Acary (3) , Claude Henri Lamarque (2, 1) , Alireza Ture Savadkoohi (2, 1)

1 LTDS - Laboratoire de Tribologie et Dynamique des Systèmes
2 ENTPE - École Nationale des Travaux Publics de l'État
3 TRIPOP - Modélisation, simulation et commande des systèmes dynamiques non lisses

Numerical simulation of cable systems remain delicate due to their geometrical non-linearity and also to their intrinsic unilateral constitutive law. Indeed finite element approaches (if not implemented carefully) fail to predict accurate equilibrium for cable structures. The major issue to be addressed is the ill-conditioning, starting configuration and wrong choice of descent direction during iterative methods. An iterative scheme based on Finite Element Method is presented to overcome this issue, even with large number of elements.

Mots clés: Cable Structure Analysis; Finite element methods; Unilateral Tension; Numerical Methods

Domaines: Mécanique [physics]

Charlélie Bertrand, Vincent Acary, Claude Henri Lamarque, Alireza Ture Savadkoohi. A robust and efficient numerical finite element method for cables. 2020. ⟨hal-02439982v1⟩