Title: Forward dynamical analysis of flexible multibody systems using system-level model reduction
Authors: Heirman, Gert ×
Naets, Frank
Desmet, Wim #
Issue Date: Jan-2011
Publisher: Kluwer Academic Publishers
Series Title: Multibody System Dynamics vol:25 issue:1 pages:97-113
Abstract: Fast simulation (e.g. real-time) of flexible multibody systems is typically restricted
by the presence of both differential and algebraic equations in the model equations,
and the number of degrees of freedom required to accurately model flexibility. Model reduction
techniques can alleviate the problem, although the classically used body-level model
reduction and general-purpose system-level techniques do not eliminate the algebraic equations
and do not necessarily result in optimal dimension reduction. In this research, Global
Modal Parametrization, a model reduction technique for flexible multibody systems is further
developed to speed up simulation of flexible multibody systems. The reduction of the
model is achieved by projection on a curvilinear subspace instead of the classically used
fixed vector space, requiring significantly less degrees of freedom to represent the system
dynamics with the same level of accuracy. The numerical experiment in this paper illustrates
previously unexposed sources of approximation error: 1) the rigid body motion is computed
in a forward dynamical analysis resulting in a small divergence of the rigid body motion,
and 2) the errors resulting from the transformation from the modal degrees of freedom of
the reduced model back to the original degrees of freedom. The effect of the configuration
space discretization coarseness on the different approximation error sources is investigated.
The trade-offs to be defined by the user to control these approximation errors are explained.
ISSN: 1384-5640
Publication status: published
KU Leuven publication type: IT
Appears in Collections:Production Engineering, Machine Design and Automation (PMA) Section
× corresponding author
# (joint) last author

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