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Time‐step adaptivity in variational integrators with application to contact problems
Author(s) -
Modin K.,
Führer C.
Publication year - 2006
Publication title -
zamm ‐ journal of applied mathematics and mechanics / zeitschrift für angewandte mathematik und mechanik
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.449
H-Index - 51
eISSN - 1521-4001
pISSN - 0044-2267
DOI - 10.1002/zamm.200610286
Subject(s) - variational integrator , integrator , symplectic integrator , control theory (sociology) , symplectic geometry , scaling , computer science , mathematics , control (management) , mathematical analysis , geometry , computer network , bandwidth (computing) , artificial intelligence
Variable time‐step methods, with general step‐size control objectives, are developed within the framework of variational integrators. This is accomplished by introducing discrete transformations similar to Poincarés time transformation. While gaining from adaptive time‐steps, the resulting integrators preserve the structural advantages of variational integrators, i.e. they are symplectic and momentum preserving. As an application, the methods are utilized for dynamic multibody systems governed by contact force laws. A suitable scaling function defining the step‐size control objective is derived.