## Content

### Structure-preserving model reduction for dissipative mechanical systems

For the construction of complex mechanical structures such as bridges, buildings,
or vehicles, the use of computer models is nowadays indispensable. Such computer
models are typically used to simulate and, if necessary, to optimize the
oscillation behavior. For instance, such an optimization is useful to suppress and
damp undesired oscillations. Taking into account the input-output structure of the
system, modeling of such mechanical structures typically leads to dynamical
systems described by second-order ordinary differential equations.

Often the system dimension (i. e., the number of masses) is very large. The aim of
model reduction is now to approximate the original system by a much smaller one to
save a huge amount of computational resources during evaluation of the model.

In our project we want to develop new model reduction techniques for second-order
mechanical systems that also preserve certain system properties like
dissipativity.

Last Modification: 2018-06-11 - Contact Person: Sebastian Sager -

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