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PreprintCC BY 4.0arXiv

A Scalable Framework for Simultaneously Optimizing Damper Positions and Viscosities

Abstract

We consider damping optimization for vibrating systems described by a second-order differential equation. The goal is to determine the damping positions and viscosity values of the dampers in the system so that they produce the lowest average total energy. We propose a new framework for determining the number and positions of the dampers, using re-weighted l1 minimization and pruning techniques. The efficiency and performance of our new approach are verified and illustrated in several numerical examples.

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BibTeX
@misc{vukojevic2026scalable,
  title = {{A Scalable Framework for Simultaneously Optimizing Damper Positions and Viscosities}},
  author = {M. Ugrica Vukojević and P. Goyal and Z. Tomljanović},
  howpublished = {arXiv},
  year = {2026},
  month = sep,
  doi = {10.48550/arxiv.2609.01398},
  eprint = {2609.01398},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2609.01398},
  note = {CC BY 4.0},
}
RIS
TY  - UNPB
TI  - A Scalable Framework for Simultaneously Optimizing Damper Positions and Viscosities
AU  - M. Ugrica Vukojević
AU  - P. Goyal
AU  - Z. Tomljanović
PY  - 2026
DA  - 2026/09/01
PB  - arXiv
DO  - 10.48550/arxiv.2609.01398
UR  - https://arxiv.org/abs/2609.01398
AB  - We consider damping optimization for vibrating systems described by a second-order differential equation. The goal is to determine the damping positions and viscosity values of the dampers in the system so that they produce the lowest average total energy. We propose a new framework for determining the number and positions of the dampers, using re-weighted l_1 minimization and pruning techniques. The efficiency and performance of our new approach are verified and illustrated in several numerical examples.
ER  -