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arXiv · 2203.10061

Port-Hamiltonian Fluid-Structure Interaction Modeling and Structure-Preserving Model Order Reduction of a Classical Guitar

Johannes Rettberg·Dominik Wittwar·Patrick Buchfink·Alexander Brauchler·Pascal Ziegler·Jörg Fehr·Bernard Haasdonk
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Abstract

A fluid-structure interaction model in a port-Hamiltonian representation is derived for a classical guitar. We combine the laws of continuum mechanics for solids and fluids within a unified port-Hamiltonian (pH) modeling approach by adapting the discretized equations on second-order level in order to obtain a damped multi-physics model. The high-dimensionality of the resulting system is reduced by model order reduction. The article focuses on pH-systems in different state transformations, a variety of basis generation techniques as well as structure-preserving model order reduction approaches that are independent from the projection basis. As main contribution a thorough comparison of these method combinations is conducted. In contrast to typical frequency-based simulations in acoustics, transient time simulations of the system are presented. The approach is embedded into a straightforward workflow of sophisticated commercial software modeling and flexible in-house software for multi-physics coupling and model order reduction.

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BibTeXRIS

Johannes Rettberg, Dominik Wittwar, Patrick Buchfink, Alexander Brauchler, Pascal Ziegler, Jörg Fehr, Bernard Haasdonk. 2022-03-18. Port-Hamiltonian Fluid-Structure Interaction Modeling and Structure-Preserving Model Order Reduction of a Classical Guitar. https://doi.org/10.1080/13873954.2023.2173238

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