Non-linear sound absorption analysis, multiscale design and application of metallic fibrous materials

• Applicant: Professor Dr.-Ing. Chuanzeng Zhang
• Subject Area: Mechanics ; Acoustics
• Term: from 2018 to 2025
• Project identifier: Deutsche Forschungsgemeinschaft (DFG) - Project number 392026765

• Final Report Year: 2025

Final Report Abstract

Porous materials, characterized by their interconnected voids or pores, are widely used in sound absorption applications due to their high ability to dissipate acoustic energy through viscous and thermal effects. Acoustic metamaterials, on the other hand, are artificially engineered materials designed to achieve extraordinary acoustic/elastic wave propagation characteristics, which cannot be found in natural and conventional materials, and they enable an efficient wave propagation or vibration control. In this project, we focused on the non-linear sound absorption analysis, multiscale design, and applications of metallic fibrous porous materials, particularly for high-temperature conditions. By combining the individual advantageous properties of the porous materials and metamaterials, the project aimed to overcome the limitations of the conventional sound-absorbing materials, especially at low frequencies. In particular, novel porous metamaterial structures, including slit-perforated multi-layered porous metamaterials (SMPM) and multiscale porous metamaterials (MPM) were proposed and investigated in details. These metamaterial structures demonstrated a superior sound absorption performance across a wide frequency range, particularly at low frequencies, where the conventional porous materials often underperform. Advanced theoretical and numerical models were established and validated by the finite element (FE) software COMSOL Multiphysics, which enabled a detailed and precise analysis of the acoustic wave propagation and energy dissipation characteristics of the novel porous metamaterial structures. The effects of the high temperature on their sound absorption performance were studied, which revealed that while the absorption peaks are shifted to higher frequencies with increasing temperature, the novel porous metamaterial structures maintain a higher performance. This project made a substantial contribution to the in-depth understanding and promising applications of the novel porous metamaterials for the sound absorption, mitigation and isolation, hence paving a new way for future innovations in the efficient noise control technologies. In addition, the findings obtained in this project also form a solid basis for future research to further enhance the sound absorption and mitigation performance of the novel porous metamaterials, including their inverse design and optimization based on the topology optimization combined with the machine learning (ML) techniques or genetic algorithms (GA), and their experimental validation.

Publications

• Acousto-thermo-mechanical deformation of hydrogels coupled with chemical diffusion. Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, 474(2217), 20180293.
  Xin, Fengxian & Lu, Tian Jian
  
• Influence of hole shape on sound absorption of underwater anechoic layers. Journal of Sound and Vibration, 426, 54-74.
  Ye, Changzheng; Liu, Xuewei; Xin, Fengxian & Lu, Tian Jian
  
• A multiscale theoretical approach for the sound absorption of slit-perforated double porosity materials. Composite Structures, 223, 110919.
  Xin, Fengxian; Ma, Xiaowen; Liu, Xuewei & Zhang, Chuanzeng
  
• Improvement of the sound absorption of flexible micro-perforated panels by local resonances. Mechanical Systems and Signal Processing, 117, 138-156.
  Ren, S.W.; Van Belle, L.; Claeys, C.; Xin, F.X.; Lu, T.J.; Deckers, E. & Desmet, W.
  
• Mathematical modeling of Stokes flow in petal shaped pipes. Physics of Fluids, 31(1).
  Xu, Zhimin; Song, Siyuan; Xin, Fengxian & Lu, Tian Jian
  
• Modified theory of a microperforated panel with roughened perforations. EPL (Europhysics Letters), 125(3), 34004.
  Xu, Zhimin; Peng, Xiangjun; Liu, Xuewei; Xin, Fengxian & Lu, Tian Jian
  
• Nonlinear deformation and bifurcation of a soft cantilever induced by acoustic radiation force. EPL (Europhysics Letters), 127(2), 24003.
  Liu, Yifan & Xin, Fengxian
  
• Sound absorption of micro-perforated sandwich panel with honeycomb-corrugation hybrid core at high temperatures. Composite Structures, 226, 111285.
  Tang, Yufan; Xin, Fengxian & Lu, Tian Jian
  
• Underwater Acoustic Absorption of Composite Anechoic Layers With Inner Holes. Journal of Vibration and Acoustics, 141(4).
  Ye, Changzheng; Liu, Xuewei; Xin, Fengxian & Lu, Tian Jian
  
• Nonlinear sound absorption of ultralight hybrid-cored sandwich panels. Mechanical Systems and Signal Processing, 135, 106428.
  Tang, Yufan; He, Wei; Xin, Fengxian & Lu, Tian Jian
  
• Sound absorption theory for micro-perforated panel with petal-shaped perforations. The Journal of the Acoustical Society of America, 148(1), 18-24.
  Xu, Zhimin; He, Wei; Peng, Xiangjun; Xin, Fengxian & Lu, Tian Jian
  
• Sound propagation in porous materials containing rough tubes. Physics of Fluids, 32(9).
  Xu, Zhimin; He, Wei; Xin, Fengxian & Lu, Tian Jian
  
• A novel multiscale porous composite structure for sound absorption enhancement. Composite Structures, 276, 114456.
  Liu, Qihang; Liu, Xuewei; Zhang, Chuanzeng & Xin, Fengxian
  
• Acoustic labyrinthine porous metamaterials for subwavelength low-frequency sound absorption. Journal of Applied Physics, 129(19).
  Liu, Xuewei; Duan, Mingyu; Liu, Maolin; Xin, Fengxian & Zhang, Chuanzeng
  
• Gradually perforated porous materials backed with Helmholtz resonant cavity for broadband low-frequency sound absorption. Composite Structures, 263, 113647.
  Liu, Xuewei; Yu, Chenlei & Xin, Fengxian
  
• High-Temperature and Low-Frequency Acoustic Energy Absorption by a Novel Porous Metamaterial Structure. Acta Mechanica Solida Sinica, 34(6), 872-883.
  Liu, Qihang; Liu, Xuewei; Zhang, Chuanzeng & Xin, Fengxian
  
• High-temperature effect on the sound absorption of cylindrically perforated porous materials. Journal of Applied Physics, 130(10).
  Liu, Xuewei; Xin, Fengxian & Zhang, Chuanzeng
  
• Ultralight micro-perforated sandwich panel with hierarchical honeycomb core for sound absorption. Journal of Sandwich Structures & Materials, 24(1), 201-217.
  He, Wei; Peng, Xiangjun; Xin, Fengxian & Lu, Tian Jian
  
• Broadband sound absorption by a novel porous metamaterial structure. Proceedings of the 28th International Congress on Sound and Vibration. Singapore, 24-28 July 2022
  Liu Q.H. & Zhang C.h.
  
• Broadband and low-frequency sound absorption by a slit-perforated multi-layered porous metamaterial. Engineering Structures, 281, 115743.
  Liu, Qihang & Zhang, Chuanzeng
  
• Acoustic wave absorption and mitigation by porous metamaterial structures. Doctoral Thesis, University of Siegen
  Liu Q.H.