Author(s) :
Martin Arnold
,
Volker Mehrmann
,
Andreas Steinbrecher
Preprint series :
Preprint IB 532-01-01, DLR German Aerospace Center, Institute of Aeroelasticity, Vehicle System Dynamics Group
MSC 2000
- 70E55 Dynamics of multibody systems
-
70-08 Computational methods
Abstract :
In the present paper we discuss the time integration of multibody system
model equations following a novel approach that has originally been
developed for the time integration of linear differential-algebraic
equations of arbitrary high index.
In contrast to standard textbook presentations we do not restrict ourselve
to classical conservative constrained mechanical systems but consider the
more complex model equations that are actually used in state-of-the-art
multibody system simulation packages.
The equations of motion form a nonlinear system of differential-algebraic
equations of index 3 with a special structure that we will exploite in
the numerical solution. We replace the equations of motion by a so-called
strangeness-free differential algebraic equation, i.e. of index 1, with
the same solution set.
Keywords :
differential-algebraic equations, indexreduction, multibody systems