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Multibody Dynamics and Differential Algebraic
Equations
Patrick Wijckmans
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| Project description |
Multibody systems are mechanical systems which are
interconnected so that large relative motion between the bodies
may occur.
These interconnections consist of joints, that constrain the
relative motion between the interconnected bodies and are the
cause of constraining forces, and force elements. A wide variety
of mechanical systems, e.g. vehicles and robots, can be modeled
in this way.
Dynamic simulations are an important part of computer aided
design (CAD). Furthermore, these simulations are very important
in the crash safety field, where they can be used for the
analysis of the crash response of vehicles, and for the design of
safety devises such as e.g. airbags.
A variety of powerful algorithms for efficiently generating
the highly nonlinear equations of motion of multibody systems
have been created by the developments in multibody dynamics.
This made it possible to derive the governing equations for even
very complex and realistic mechanical systems. In general the
motion of multibody systems is described by so called
differential algebraic equations (DAEs), i.e. a set of
differential equations coupled with algebraic constraints.
This project primarily deals with the numerical solution of these
DAEs. However, standard methods fail since is appears to be very
difficult to satisfy the algebraic constraints in a numerical
simulation.
Hence, numerical methods which minimize the drift off from the
constraints are developed.
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| Recent reference |
Wijckmans P.M.E.J, Differential Algebraic Equations, RANA
Report 93-02, Eindhoven University of Technology, 1993. |
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