ABSTRACT

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.

摘要

针对古典吉他导出了端口哈密尔顿表示形式的流固耦合模型。离散化后，我们通过二阶适当的坐标变换来调整方程，将固体和流体的连续介质力学定律结合在统一的端口哈密尔顿 (pH) 建模方法中。通过模型降阶来降低所得系统的高维性。本文重点关注不同状态转换下的 pH 系统、各种基础生成技术以及独立于投影基础的结构保持模型降阶方法。作为主要贡献，对这些方法组合进行了彻底的比较。与声学中典型的基于频率的模拟相比，提出了系统的瞬态时间仿真。该方法嵌入到复杂的商业软件建模和灵活的内部软件的简单工作流程中，用于多物理场耦合和模型降阶。