A robust and efficient numerical finite element method for cables. (9th July 2020)

• Record Type: Journal Article
• Authors: Bertrand, C.; Acary, V.; Lamarque, C.‐H.; Ture Savadkoohi, A.
• Is Part Of: International journal for numerical methods in engineering. Volume 121:Number 18(2020)
• Page Start: 4157
• Page End: 4186
• Publication Date: 2020-07-09
• Subjects: cable structures analysis -- finite element method -- unilateral tension -- numerical methods; Numerical analysis -- Periodicals; Engineering mathematics -- Periodicals; 620.001518
• DOI: 10.1002/nme.6435
• Languages: English
• ISSNs: 0029-5981

Abstract

Summary: Numerical simulation of cable systems remain delicate due to their geometrical nonlinearity 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.