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A time‐stepping method for non‐smooth mechanical systems
Author(s) -
Studer Christian,
Glocker Christoph
Publication year - 2005
Publication title -
pamm
Language(s) - English
Resource type - Journals
ISSN - 1617-7061
DOI - 10.1002/pamm.200510086
Subject(s) - time stepping , set (abstract data type) , dynamical systems theory , computer science , mathematics , unilateral contact , control theory (sociology) , mathematical analysis , physics , engineering , structural engineering , artificial intelligence , programming language , control (management) , quantum mechanics , finite element method , discretization
Time‐stepping algorithms allow a robust simulation of dynamical problems with many unilateral constraints and friction. It's idea is to calculate velocity updates instead of accelerations. As a consequence, contact behaviour and impact can be treated by the same equations. The unilateral constraints are modelled by set‐valued force laws. The resulting inequalities can be solved by writing inclusions as non‐linear equations. (© 2005 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)