Two-field formulation of the inertial forces of a geometrically-exact beam element

Geometrically-exact beam finite element; Legendre transformation; Mechanics on Lie group; Beam finite elements; Field formulation; First order; Geometrically exact beams; Inertial forces; Legendre transformations; Lie-groups; Mechanic on lie group; Modeling and Simulation; Aerospace Engineering; Mechanical Engineering; Computer Science Applications; Control and Optimization; Generalized-α for first-order ODE

Abstract :

[en] An independent velocity field is introduced via Legendre transformation of the kinetic energy of a geometrically-exact beam, leading to a first-order system of twice as many governing equations as a one-field formulation. Nevertheless, the new field does not have to be assembled across elements and can be eliminated at the element level, so that the assembled system has the same size as a one-field formulation. Furthermore, because the new field does not have to satisfy the compatibility equations that the original velocity field is subjected to, its finite-element discretization is simpler and leads to simplified inertial forces.

Disciplines :

Aerospace & aeronautics engineering
Mechanical engineering

Author, co-author :

Sonneville, Valentin ; Université de Liège - ULiège > Département d'aérospatiale et mécanique > Laboratoire des Systèmes Multicorps et Mécatroniques ; Chair of Applied Mechanics, Technical University of Munich, Garching, Germany

Géradin, Michel ; Université de Liège - ULiège > Département d'aérospatiale et mécanique ; Institute for Advanced Study, Technical University of Munich, Garching, Germany

Language :

English

Title :

Two-field formulation of the inertial forces of a geometrically-exact beam element

Publication date :

2022

Journal title :

Multibody System Dynamics

ISSN :

1384-5640

eISSN :

1573-272X

Publisher :

Springer Science and Business Media B.V.

Peer reviewed :

Peer reviewed

Additional URL :

https://link.springer.com/content/pdf/10.1007/s11044-022-09867-4.pdf

Funders :

TUM - Technische Universität München [DE]

Funding text :

The authors acknowledge support from the Technical University of Munich—Institute for Advanced Study.Open Access funding enabled and organized by Projekt DEAL. Funding was provided by the Institute for Advanced Study, Technische Universität München (Hans Fischer Fellowship).

Available on ORBi :

since 17 February 2023

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Bibliography

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