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Topology optimization design for total sound absorption in porous media

机译:多孔介质中总吸声的拓扑优化设计

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摘要

Acoustic porous layers used for noise reduction have the unique functionality of dissipating sound energy. It is very difficult for finite length porous layers to realize total sound absorption if they are filled only with homogeneous materials. Rigid inclusions inserted in a porous medium will certainly alter the acoustic field, realizing total sound absorption at some frequencies, but finding their optimal distributions by trial and error is intractable, especially for multiple target frequencies. The aim of this study is to develop a finite element-based numerical method to distribute rigid inclusions inside a porous layer having a fixed thickness for the total sound absorption. Without any special treatment for initial layout, multiply divided rigid inclusions are distributed systematically in an optimized porous layer by the present density-based topology optimization formulation. Considering single target frequency problems, we initially assess the effectiveness of the developed formulation with regard to achieving total sound absorption. In these problems, various resonance mechanisms, such as the Helmholtz resonance and the quarter-wavelength resonances, are generated inside the porous layer by the distributed rigid inclusions. Subsequently, we solve problems considering multiple target frequencies. The numerical results show that different types of resonances occur appropriately in the optimized porous-rigid layer to achieve total sound absorption simultaneously for all the different target frequencies considered here. (C) 2019 Elsevier B.V. All rights reserved.
机译:用于降噪的声学多孔层具有消散声能的独特功能。如果有限长度的多孔层仅填充均质材料,则很难实现整体吸声。插入多孔介质中的刚性夹杂物肯定会改变声场,在某些频率下实现总的声音吸收,但是通过反复试验发现它们的最佳分布是很难的,尤其是对于多个目标频率。这项研究的目的是开发一种基于有限元的数值方法,将刚性夹杂物分布在具有固定厚度的多孔层内,以实现总的吸声效果。无需对初始布局进行任何特殊处理,通过本基于密度的拓扑优化公式,就可以在优化的多孔层中系统地分布多个分割的刚性夹杂物。考虑到单个目标频率问题,我们首先评估开发的配方在实现总吸声方面的有效性。在这些问题中,通过分布的刚性夹杂物在多孔层内部产生诸如亥姆霍兹共振和四分之一波长共振的各种共振机制。随后,我们解决了考虑多个目标频率的问题。数值结果表明,在优化的多孔刚体层中适当发生了不同类型的共振,以同时获得此处考虑的所有不同目标频率的总声吸收。 (C)2019 Elsevier B.V.保留所有权利。

著录项

  • 来源
    《Computer Methods in Applied Mechanics and Engineering》 |2020年第1期|112723.1-112723.18|共18页
  • 作者

  • 作者单位

    Seoul Natl Univ Inst Adv Machines & Design Dept Mech & Aerosp Engn 1 Gwanak Ro Seoul 08826 South Korea;

    Seoul Natl Univ Inst Adv Machines & Design Dept Mech & Aerosp Engn 1 Gwanak Ro Seoul 08826 South Korea|Samsung Elect Consumer Elect Div Suwon 16677 Gyeonggi Do South Korea;

    Chungnam Natl Univ Sch Mech Engn 99 Daehak Ro Daejeon 34134 South Korea;

  • 收录信息 美国《科学引文索引》(SCI);美国《工程索引》(EI);
  • 原文格式 PDF
  • 正文语种 eng
  • 中图分类
  • 关键词

    Total sound absorption; Topology optimization; Porous layer; Rigid inclusions; Multiple resonances;

    机译:总吸声;拓扑优化;多孔层硬质夹杂物;多重共振;

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