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A Newmark space‐time approach in structural mechanics
Author(s) -
Bamer Franz,
Shirafkan Nima,
Cao Xiaodan,
Oueslati Abdelbacet,
Stoffel Marcus,
De Saxcé Géry,
Markert Bernd
Publication year - 2021
Publication title -
pamm
Language(s) - English
Resource type - Journals
ISSN - 1617-7061
DOI - 10.1002/pamm.202000304
Subject(s) - ansatz , newmark beta method , space time , decomposition , scheme (mathematics) , mathematics , spacetime , space (punctuation) , computer science , mathematical analysis , mathematical optimization , finite element method , physics , structural engineering , engineering , mathematical physics , chemical engineering , operating system , ecology , quantum mechanics , biology
In this contribution, we present a non‐incremental time integration scheme using the implicit Newmark approximations. The result is one space‐time equation that can be solved using the proper general decomposition ansatz.