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A Comparison of Alternative Space‐Time Discretizations of Nonlinear Shells
Author(s) -
Sänger Nicolas,
Betsch Peter
Publication year - 2009
Publication title -
pamm
Language(s) - English
Resource type - Journals
ISSN - 1617-7061
DOI - 10.1002/pamm.200910084
Subject(s) - integrator , context (archaeology) , nonlinear system , symplectic geometry , shell (structure) , symplectic integrator , stability (learning theory) , mathematics , spacetime , classical mechanics , computer science , mechanics , physics , mathematical analysis , engineering , mechanical engineering , geology , moment map , computer network , paleontology , bandwidth (computing) , quantum mechanics , machine learning
Geometrically exact shell models are suitable for modelling shell‐type flexible components in the context of finite‐deformation multibody dynamics. Conserving time‐stepping schemes are known to yield enhanced numerical stability properties. This approach is compared to alternative methods, including a momentum‐symplectic variational integrator. (© 2009 Wiley‐VCH Verlag GmbH & Co. KGaA, Weinheim)