A finite element post-processed Galerkin method for dimensional reduction in the non-linear dynamics of solids. Applications to shells
- verfasst von
- C. Sansour, Peter Wriggers, J. Sansour
- Abstract
In this paper we introduce the finite element version of the so-called post-processed Galerkin method into the field of solid mechanics and apply the new technique to the dynamics of shells. The proposed post-processed method provides low-cost means to lift low-dimensional solutions to high-dimensional solutions. It is the very fact that the kinematical fields are improved to higher orders which makes the method of great interest. Our shell theory is geometrically exact in the sense that all non-linearities are included in the formulation. For time integration an energy/momentum scheme is used to enhance integration stability. Two hierarchical enhanced finite elements are formulated, on the basis of which a specific post-processed method is then developed. With the help of some examples of non-linear shell vibrations, a critical examination and validation of the post-processed method is carried out.
- Organisationseinheit(en)
-
Institut für Baumechanik und Numerische Mechanik
- Externe Organisation(en)
-
University of Adelaide
- Typ
- Artikel
- Journal
- Computational mechanics
- Band
- 32
- Seiten
- 104-114
- Anzahl der Seiten
- 11
- ISSN
- 0178-7675
- Publikationsdatum
- 09.2003
- Publikationsstatus
- Veröffentlicht
- Peer-reviewed
- Ja
- ASJC Scopus Sachgebiete
- Numerische Mechanik, Meerestechnik, Maschinenbau, Theoretische Informatik und Mathematik, Computational Mathematics, Angewandte Mathematik
- Elektronische Version(en)
-
https://doi.org/10.1007/s00466-003-0465-9 (Zugang:
Unbekannt)
