Coupling of fictitious domain methods and the boundary element method for the analysis of acoustic metamaterials

虚拟域方法与边界元方法耦合用于声学超材料分析

• 批准号: 423317638
• 负责人: Dr.-Ing. Fabian Duvigneau
• 金额: --
• 依托单位: Institut für Mechanik (IFME)
• 依托单位国家: 德国
• 项目类别: Research Grants
• 财政年份: 2019
• 资助国家: 德国
• 起止时间: 2018-12-31 至 2022-12-31
• 项目状态: 已结题
• 来源: https://gepris.dfg.de/gepris/projekt/423317638?language=en
• 关键词: Coupling; fictitious; domain; methods; boundary

This project proposal focuses on innovative acoustic metamaterials. These are, for example, acoustically effective foam materials in which local resonance effects are to be produced by additionally introduced solids with high rigidity. In this way it should be achieved that the insulating or damping effect of these materials is significantly improved, especially in the low-frequency range.However, so far there are no general guidelines on how to design an acoustic metamaterial in order to achieve the best possible and in particular a broadband effect. For this reason, the proposed project aims to develop a simulation methodology, which can be used for an extensive analysis of the mechanisms, influencing factors and design parameters as well as the topology optimization of acoustic metamaterials in further studies. For the vibroacoustic analysis a coupling of the Finite Cell Method (FCM) and the boundary element method (BEM) will be developed. The FCM will be used for structural dynamics calculations to consider the heterogeneous structure of the metamaterials adequately and efficiently. For the evaluation of different acoustic metamaterials, the resulting sound pressure in the surrounding air volume as well as the radiated sound power is used. The calculation of the sound emission takes place with the aid of the BEM, since this is an efficient possibility for the calculation of the acoustic field, in particular for the evaluation in the far field in comparison to volume discretizing methods. As part of the project, the benefits of high-order shape functions will also be exploited. After successful implementation, commercial FE-based calculation programs, analytical reference solutions and experimental investigations will be used to verify and validate the developed methods.

该项目提案的重点是创新的声学超材料。这些是例如声学有效的泡沫材料，其中通过另外引入的具有高刚性的固体来产生局部共振效应。通过这种方式，这些材料的绝缘或阻尼效果将得到显著改善，特别是在低频范围内。然而，到目前为止，还没有关于如何设计声学超材料以实现最佳可能性，特别是宽带效果的通用指南。为此，本项目旨在开发一种仿真方法，用于深入分析声学超材料的机理、影响因素和设计参数，以及进一步研究声学超材料的拓扑优化。对于振动声学分析的耦合有限单元法（FCM）和边界元法（BEM）将被开发。FCM将用于结构动力学计算，以充分和有效地考虑异向材料的异质结构。对于不同的声学超材料的评估，在周围的空气体积以及辐射声功率中产生的声压被使用。声发射的计算借助于BEM进行，因为与体积离散化方法相比，这对于声场的计算，特别是对于远场中的评估是有效的可能性。作为该项目的一部分，高阶形状函数的好处也将被利用。成功实施后，商业FE为基础的计算程序，分析参考解决方案和实验研究将用于验证和验证开发的方法。