A time‐stepping method for non‐smooth mechanical systems | Zendy

Studer Christian | Zendy; Glocker Christoph | Zendy

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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) , mathematics , control theory (sociology) , dynamic equation , computer science , mathematical optimization , nonlinear system , mathematical analysis , physics , artificial intelligence , control (management) , quantum mechanics , discretization , programming language

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)

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