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Variational multirate integration in multi‐body dynamics
Author(s) -
Gail Tobias,
Leyendecker Sigrid,
OberBlöbaum Sina
Publication year - 2016
Publication title -
pamm
Language(s) - English
Resource type - Journals
ISSN - 1617-7061
DOI - 10.1002/pamm.201610015
Subject(s) - lagrange multiplier , mechanical system , equations of motion , dynamics (music) , computer science , motion (physics) , mathematics
Abstract For systems that contain slow and fast dynamics, variational multirate integration schemes are used. These schemes split the system into parts which are simulated using two time grids consisting of micro and macro nodes. This formulation can be extended for multi‐body systems. The rigid multi‐body system is described by the so called director formulation and constraints describing the joints connecting the bodies. With the Lagrange multiplier method, the constraints are introduced into the equations of motion. A way to implement the null space method into the variational multirate framework is shown and the influence on the number of unknowns is investigated. (© 2016 Wiley‐VCH Verlag GmbH & Co. KGaA, Weinheim)