古典吉他的波特-哈密顿流固相互作用建模与保结构模型降阶

IF 1.8 4区 数学 Q3 COMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONS
Johannes Rettberg, Dominik Wittwar, Patrick Buchfink, Alexander Brauchler, Pascal Ziegler, Jörg Fehr, Bernard Haasdonk
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引用次数: 0

摘要

以古典吉他为对象,导出了一个端口-哈密顿表示的流固相互作用模型。在离散化之后,我们将固体和流体的连续介质力学规律结合在一个统一的端口-哈密顿(pH)建模方法中,通过在二阶水平上进行适当的坐标变换来调整方程。通过模型阶数约简来降低系统的高维度。本文重点讨论了不同状态变换下的ph -系统、各种基生成技术以及独立于投影基的保持结构的模型降阶方法。作为主要贡献,对这些方法组合进行了全面的比较。与声学中典型的基于频率的模拟不同,本文给出了系统的瞬态时间模拟。该方法嵌入到复杂的商业软件建模和灵活的内部软件的直接工作流中,用于多物理场耦合和模型降阶。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
Port-Hamiltonian fluid–structure interaction modelling and structure-preserving model order reduction of a classical guitar
A fluid–structure interaction model in a port-Hamiltonian representation is derived for a classical guitar. After discretization, we combine the laws of continuum mechanics for solids and fluids within a unified port-Hamiltonian (pH) modelling approach by adapting the equations through an appropriate coordinate transformation on the second-order level. 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 modelling and flexible in-house software for multi-physics coupling and model order reduction.
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来源期刊
CiteScore
3.80
自引率
5.30%
发文量
7
审稿时长
>12 weeks
期刊介绍: Mathematical and Computer Modelling of Dynamical Systems (MCMDS) publishes high quality international research that presents new ideas and approaches in the derivation, simplification, and validation of models and sub-models of relevance to complex (real-world) dynamical systems. The journal brings together engineers and scientists working in different areas of application and/or theory where researchers can learn about recent developments across engineering, environmental systems, and biotechnology amongst other fields. As MCMDS covers a wide range of application areas, papers aim to be accessible to readers who are not necessarily experts in the specific area of application. MCMDS welcomes original articles on a range of topics including: -methods of modelling and simulation- automation of modelling- qualitative and modular modelling- data-based and learning-based modelling- uncertainties and the effects of modelling errors on system performance- application of modelling to complex real-world systems.
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