A robust and efficient numerical finite element method for cables

Charlélie Bertrand; Vincent Acary; Claude-Henri Lamarque; Alireza Ture Savadkoohi

doi:10.1002/nme.6435

Journal articles

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

Inria Grenoble - Rhône-Alpes, LJK - Laboratoire Jean Kuntzmann

Abstract : 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.

Keywords : Cable Structure Analysis Numerical Methods Unilateral Tension Finite Element Method Cable Structures Analysis Finite element methods

Document type :

Journal articles

Domain :

Physics [physics] / Mechanics [physics]

Complete list of metadata

Cited literature [34 references] Display Hide Download

https://hal.inria.fr/hal-02439982
Contributor : Charlélie Bertrand <>
Submitted on : Monday, April 6, 2020 - 11:58:11 AM
Last modification on : Wednesday, March 24, 2021 - 1:58:08 PM

A robust and efficient numerical finite element method for cables

File

Identifiers

Collections

Citation

Export

Metrics

250

1325

Contact Legal Notice Personal Data

A robust and efficient numerical finite element method for cables

File

Identifiers

Collections

Citation

Export

Share

Metrics

250

1325

Contact Legal Notice Personal Data