Geometric nonlinearities; Beam finite element; Lie group method
Abstract :
[en] The local frame approach is based on a unified representation of the velocity and strain fields in the local frame attached to the centerline of rods or to the reference surface of shells. It leads to an intrinsic and local frame representation of the force and momentum balance, i.e., of the equations of motion. The space and time discretization schemes are obtained using the Lie group theory. Besides a presentation of the local formulation, the talk illustrates its properties using geometrically nonlinear beam and shell examples.
Disciplines :
Mechanical engineering
Author, co-author :
Bruls, Olivier ; Université de Liège - ULiège > Département d'aérospatiale et mécanique > Laboratoire des Systèmes Multicorps et Mécatroniques
Sonneville, Valentin
Language :
English
Title :
The local frame formulation of geometrically nonlinear slender structures
Publication date :
December 2017
Event name :
Symposium on Mechanics of Slender Structures (MOSS)
Event place :
Merida, Spain
Event date :
December 2017
By request :
Yes
Audience :
International
Main work title :
Proceedings of the Symposium on Mechanics of Slender Structures (MOSS)