Model order reduction of Mikota’s vibration chain including damping effects by means of proper orthogonal decomposition

In engineering disciplines, both in scientific and practical applications, systems with a tremendous
number of degrees of freedom occur. Hence, there is a need for reducing the computational
effort in investigating these systems. If the system behaviour has to be calculated
for many time instances and/or load scenarios, the need for efficient calculations further
increases. Model order reduction is a common procedure in order to cope with such large
systems. The aim of model order reduction is to reduce the (computational) effort in solving
the given task while still keeping main features of the respective system. One approach of
model order reduction uses the proper orthogonal decomposition. This approach is applied
to Mikota’s vibration chain, a linear vibration chain with remarkable properties, where two
cases of an undamped and a damped structure are investigated.