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Port Hamiltonian Mass Spring Damper Chains

MatzeVoigt edited this page Feb 22, 2022 · 43 revisions

This benchmark is the mass-spring-damper chain presented in Gug2012 [Bibfile] and illustrated in (link auf Figure).

The chain consists of masses that are each connected with their neighboring masses by springs with spring constants . The last mass is connected to a wall via the spring while at the first mass an external force is applied. Moreover, each mass is connected with the ground by means of a damper with viscosities . This configuration leads to a second-order system of the form

,

where is the vector of displacements of each mass. Moreover,


Description Transfer Function

MSD Chain used for PH-IRKA in Gug2012 [Bibfile]

Transfer Function

Downloads:
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MAT HDF5

MSD Chain N100
MSD Chain N1000
MSD Chain N20000
All MSD Chain Models

MSD Chain N100
MSD Chain N1000
MSD Chain N20000
All MSD Chain Models

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