A mortar formulation for frictionless line-to-line beam contact

Bosten, Armin; Cosimo, Alejandro; Linn, Joachim; Bruls, Olivier

doi:10.1007/s11044-021-09799-5

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A mortar formulation for frictionless line-to-line beam contact

Bosten, Armin; Cosimo, Alejandro; Linn, Joachim et al.

2021 • In Multibody System Dynamics

Peer reviewed

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https://hdl.handle.net/2268/262871

DOI
10.1007/s11044-021-09799-5

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Keywords :

Beam contact; Mortar; Special Euclidean group

Abstract :

[en] This paper describes the quasi-static formulation of frictionless line contact between flexible beams by employing the mortar finite element approach. Contact constraints are enforced in a weak sense along the contact region using Lagrange multipliers. A simple projection appropriate for thin beams with circular cross-sections is proposed for the computation of contact regions. It is combined with the geometrically exact beam formalism on the Lie group SE(3). Interestingly, this framework leads to a constraint gradient and a tangent stiffness invariant under rigid body transformations. The formulation is tested in some numerical examples.

Disciplines :

Engineering, computing & technology: Multidisciplinary, general & others

Author, co-author :

Bosten, Armin ; Université de Liège - ULiège > A&M

Cosimo, Alejandro ; Université de Liège - ULiège > Département d'aérospatiale et mécanique > Laboratoire des Systèmes Multicorps et Mécatroniques

Linn, Joachim; Fraunhofer ITWM Kaiserslautern > MDF

Bruls, Olivier ; Université de Liège - ULiège > Département d'aérospatiale et mécanique > Laboratoire des Systèmes Multicorps et Mécatroniques

Language :

English

Title :

A mortar formulation for frictionless line-to-line beam contact

Publication date :

25 August 2021

Journal title :

Multibody System Dynamics

ISSN :

1384-5640

eISSN :

1573-272X

Publisher :

Kluwer Academic Publishers, Netherlands

Peer reviewed :

Peer reviewed

Additional URL :

https://rdcu.be/cv7bR

Funders :

Robotix Academy project of the Greater Region
Fraunhofer Institute for Industrial Mathematics Kaiserslautern

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since 01 September 2021

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