论文标题

哈米尔顿港的流体结构相互作用建模和结构保存模型订单降低经典吉他

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

论文作者

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

论文摘要

港口 - 哈米尔顿港代表中的流体结构相互作用模型是为古典吉他得出的。我们通过在二阶水平上调节离散的方程式以获得阻尼的多物理学模型,将连续力学的定律结合在统一港口 - 哈米顿(PH)建模方法中。通过降低模型订单来降低所得系统的高维度。本文重点介绍了不同状态转换中的pH-系统,各种基础生成技术以及结构保存模型降低的方法降低了与投影基础无关的方法。由于主要贡献对这些方法组合进行了详尽的比较。与声学中的典型基于频率的模拟相反,提出了系统的瞬时时间模拟。该方法嵌入了复杂的商业软件建模和灵活的内部软件的直接工作流程中,以减少多物理耦合和模型订单。

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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