Model Order Reduction – Also with Many Inputs and Outputs?

EasyChair Preprint 13282, version 1

Abstract

The Finite Element Method is a widely used discretization method for mechanical systems. To ensure accurate
simulations on the one hand and to ensure an acceptable simulation time on the other hand, Model Order
Reduction is often applied to reduce the mathematical complexity of the system. One possible projection
based Model Order Reduction method for linear systems is moment matching based on Krylov subspaces.
In this method, the size of the reduced order model is directly proportional to the number of inputs and
outputs of the system. Therefore, tangential directions can be applied to reduce the number of inputs used
for Model Order Reduction. In this contribution, we examine the suitability of the Singular Value Decomposition
Model Order Reduction (SVDMOR) method for mechanical systems. SVDMOR is commonly
used for electrical circuit simulation and reduces the number of inputs and outputs based on a singular value
decomposition of the transfer function. The behavior of the singular values, which correspond to the error
between the full order model and the model with a reduced number of inputs and outputs, as well as the
tangential directions are investigated in the frequency domain on a numerical example.

Keyphrases: Many Inputs and Outputs, Model Order Reduction, Multibody dynamics

@booklet{EasyChair:13282,
  author    = {Manuel Vierneisel and Lennart Frie and Peter Eberhard},
  title     = {Model Order Reduction – Also with Many Inputs and Outputs?},
  howpublished = {EasyChair Preprint 13282},
  year      = {EasyChair, 2024}}