Journal of Textile Research ›› 2024, Vol. 45 ›› Issue (10): 103-112.doi: 10.13475/j.fzxb.20230805501

• Textile Engineering • Previous Articles     Next Articles

Parametric inverse analysis of Johnson-Champoux-Allard acoustic model for weft knitted fabrics based on particle swarm algorithm

HAN Wei1, XING Xiaomeng1,2, ZHANG Haibao3, JIANG Qian1,2, LIU Tianwei1, LU Jiahao3, YAN Zhiqiang3, GONG Jixian1, WU Liwei1,2,3()   

  1. 1. School of Textile Science and Engineering, Tiangong University, Tianjin 300387, China
    2. Key Laboratory of Advanced Textile Composite Materials of Ministry of Education, Tiangong University, Tianjin 300387, China
    3. Qinghai Provincial Institute for Product Quality Inspection and Testing, Xining, Qinghai 810099, China
  • Received:2023-08-25 Revised:2024-05-24 Online:2024-10-15 Published:2024-10-22
  • Contact: WU Liwei E-mail:wuliwei@tiangong.edu.cn

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Abstract:

Objective Textiles are widely used in the field of acoustic absorption due to their porous texture, lightweight and formability. Due to the viscous inertia and thermal dissipation mechanisms in acoustic absorption of textile materials, the Johnson-Champoux-Allard(JCA) acoustic model is believed suitable for characterization their acoustic property. However, few studies were conducted on the acquisition of acoustic parameters in JCA model and the relations between acoustic parameters and fabric structure remains vague. This paper proposes a method to quickly acquire JCA acoustic model parameters and predict the acoustic absorption of weft-knitted knitted fabric. The particle swarm algorithm was chosen to obtain the JCA acoustic model parameters by inverse analysis. The relations between fabric structure and acoustic parameters were explored, and the sound absorption coefficients of knitted fabrics with different structures were predicted.

Method Particle swarm algorithm was chosen to inversely analyze the acoustic absorption coefficient of weft-knitted fabrics, to obtain parameters of JCA acoustic model, including porosity, flow resistance, tortuosity, viscous characteristic length and thermal characteristic length. By adding inertia weights and learning factors, the inverse analysis process was restricted, thus reducing the number of iterations, avoiding the local optimal solutions, and improving the accuracy of the parameters obtained from the inverse analysis. Based on the results of the inverse analysis, the relations between the structural parameters of the weft-knitted fabric (unfilled coefficient) and the structural parameters of the JCA acoustic model (porosity, flow resistance) were established, and the JCA acoustic model parameters of knitted fabrics with different structures were obtained quickly for acoustic absorption coefficient calculation. The accuracy of the obtained JCA acoustic parameters of fabrics with different structures was verified by the finite element method.

Results The acoustic parameters such as porosity, flow resistance, tortuosity, viscous characteristic length and thermal characteristic length were inversely analyzed by the particle swarm algorithm. After 100 iterations, the iteration speed slowed down and gradually stabilized, reaching the globally optimal solution. The final iteration number was less than 200, with a minimum value of 0.19. Comparison of the numerically calculated sound absorption coefficient with the experimentally measured curves showed that the particle swarm algorithm was able to accurately inverse-analyze the JCA acoustic parameters in the range of 500-5 000 Hz. When the structure was changed, the material parameters, including tortuosity, viscous characteristic length and thermal characteristic length, were empirically obtained from the inverse analysis. Porosity was determined by the unfilled factor according to the global optimal solution. Flow resistance was obtained by fitting the porosity and the flow resistance using the exponential function in the least squares method with known inverse analytical parameters. The coefficient of determination R2 was 0.994 6, indicating the effective fitting. The accuracy of JCA acoustic parameters obtained by above method was verified by finite element method. The sound absorption coefficient curves obtained from the finite element calculations for the weft flat-needle tissues fitted well with the inverse analysis and experiments. The coefficient of determination R2 was 0.809. The sound absorption coefficient curves obtained from finite element calculations of the double inverse organization fitted the inverse analysis and experiments well. The coefficient of determination R2 was 0.852. The work proves the accuracy and reliability of the fabric structure parameters deduced from the JCA acoustic model.

Conclusion The particle swarm method was optimized to inversely analyzing the sound absorption coefficient of weft knitted acoustic-absorption material, and the number of iterations is less than 200, achieving the rapid acquisition of the parameters in the JCA acoustic model. For different textile structures, by directly obtaining the porosity and flow resistance coefficients and combining them with known material parameters, the sound absorption coefficients at different frequencies can be calculated quickly and with less error. This method provides new ideas for the acquisition of acoustic parameters and the prediction of sound absorption performance of acoustic-absorbing material.

Key words: Johnson-Champoux-Allard model, particle swarm algorithm, parametric inverse analysis, weft knitted fabric, sound absorption

CLC Number: 

  • TB332

Fig.1

Particle swarm algorithm flow chart"

Fig.2

Impedance tube sound absorption test system diagram(a) and samples(b)"

Fig.3

Sound absorption test curve"

Fig.4

Iteration curve chart"

Fig.5

Experimental and particle swarm algorithm inverse analysis curves graph"

Tab.1

Fabric porosity and flow resistance"

孔隙率/
%		 反分析流阻率/
(Pa·s·m-2)		 孔隙率/
%		 反分析流阻率/
(Pa·s·m-2)
50 48 673 75 35 795
55 44 305 80 33 612
60 42 496 85 29 628
65 39 256 90 27 642
70 37 062 95 24 234

Fig.6

Fitting curve of porosity and flow resistance"

Fig.7

Simulation software model structure"

Fig.8

Comparison of inverse analysis, finite element and experimental sound absorption curves of weft flat needle organization"

Fig.9

Comparison of inverse analysis, finite element and experimental sound absorption curves for double inverse tissue"

[1] WU L W, XING X M, GONG J X, et al. Experimental and finite element analysis on the sound absorption performance of wedge-like knitted composite[J]. Thin-Walled Structures, 2023. DOI:10.1016/j.tws.2022.110289.
[2] THOMPSON R, SMITH R B, KARIM Y B, et al. Noise pollution and human cognition: an updated systematic review and meta-analysis of recent evi-dence[J]. Environment International, 2022, DOI: 10.1016/j.envint.2021.106905.
[3] TAO Y P, REN M S, ZHANG H, et al. Recent progress in acoustic materials and noise control strategies: a review[J]. Applied Materials Today, 2021. DOI: 0.10161/j.apmt.2021.101141.
[4] 周泠卉, 曾佩, 鲁瑶, 等. 聚乙烯醇纳米纤维膜/罗纹空气层织物复合吸声材料的制备及其性能[J]. 纺织学报, 2023, 44(3): 73-78.
ZHOU Linghui, ZENG Pei, LU Yao, et al. Preparation and properties of polyvinyl alcohol nanofibre membrane/ribbed air-layer fabric composite acoustic absorbers[J]. Journal Textile Research, 2023, 44(3): 73-78.
[5] CHAMPOUX Y, ALLARD J. Dynamic tortuosity and bulk modulus in air-saturated porous media[J]. Journal of Applied Physics, 1991, 70(4): 1975-1979.
[6] 李箫, 荆妙蕾, 梁周珍, 等. 具有吸声效果的室内装饰纺织品的设计开发[J]. 毛纺科技, 2022, 50(12): 18-25.
LI Xiao, JING Miaolei, LIANG Zhouzhen, et al. Design and development of upholstery textiles with sound-absorbing effect[J]. Wool Textile Technology, 2022, 50(12): 18-25.
[7] VELAYUTHAM T, MANICKAM R K, SUNDAR-ARAJAN P, et al. A study on the effect of natural regenerated and synthetic non-woven fabric properties on acoustic applications[J]. Journal of Natural Fibers, 2021, 19(2): 6553-6563.
[8] 沈岳, 蒋高明, 刘其霞. 梯度结构活性碳纤维毡吸声性能分析[J]. 纺织学报, 2020, 41(10): 29-33.
doi: 10.13475/j.fzxb.20191205805
SHEN Yue, JIANG Gaoming, LIU Qixia. Analysis of acoustic performance of activated carbon fibre mats with gradient structure[J]. Journal of Textile Research, 2020, 41(10): 29-33.
doi: 10.13475/j.fzxb.20191205805
[9] DELANY M E, BAZLEY E N. Acoustical properties of fibrous absorbent materials[J]. The Journal of the Acoustical Society of America, 1970, 48(2): 105-116.
[10] WILSON D K. Relaxation-matched modeling of propagation through porous media, including fractal pore structure[J]. Acoustical Society of America Journal, 1993, 94(2): 1136-1145.
[11] CHAMPOUX Y, ALLARD J. Dynamic tortuosity and bulk modulus in air-saturated porous media[J]. Journal of Applied Physics, 1991, 70(4): 1975-1979.
[12] ALLARD J, CHAMPOUX Y. New empirical equations for sound propagation in rigid frame fibrous mate-rials[J]. Journal of the Acoustical Society of America, 1998, 91(6): 3346-3353.
[13] JOHNSON D L. Theory of dynamic permeability and tortuosity in fluid-saturated porous media[J]. Journal of Fluid Mechanics, 1987, 176(176): 379-402.
[14] OLNY X, PANNETON R. Acoustical determination of the parameters governing thermal dissipation in porous media[J]. The Journal of the Acoustical Society of America, 2008, 123(2): 814-824.
[15] PANNETON R, OLNY X. Acoustical determination of the parameters governing viscous dissipation in porous media[J]. The Journal of the Acoustical Society of America, 2006, 119(4): 2027-2040.
[16] 郑丽君, 闫勇, 胡永辉, 等. 基于物理参数反演的木质颗粒声学特性研究[J]. 新能源进展, 2021, 9(4): 282-287.
ZHENG Lijun, YAN Yong, HU Yonghui, et al. Research on acoustic properties of wood particles based on inversion of physical parameters[J]. New Energy Progress, 2021, 9(4): 282-287.
[17] 周文璐, 林萍, 徐晓美, 等. 黄麻纤维毡吸声特性及其在汽车上的应用[J]. 林业工程学报, 2021, 6(3): 113-119.
ZHOU Wenlu, LIN Ping, XU Xiaomei, et al. Acoustic properties of jute fibre mats and their application to automobiles[J]. Journal of Forest Engineering, 2021, 6(3): 113-119.
[18] 吴量, 张文静, 张卜, 等. 多孔聚氨酯吸声材料声学参数逆推方法研究[J]. 软件导刊, 2021, 20(11): 82-86.
WU Liang, ZHANG Wenjing, ZHANG Bu, et al. Inverse extrapolation of acoustic parameters of porous polyurethane acoustic materials[J]. Software Journal, 2021, 20(11): 82-86.
[19] ATALLA Y, PANNETON R. Inverse acoustical characterization of open cell porous media using impedance tube measurements[J]. Optik International Journal for Light & Electron Optics, 2005. DOI: 10.1016/j.ijleo.2015.10.099.
[20] CHANLERT P, TONGYOO S, RORDRAK C. Effects of urea-formaldehyde and polyvinyl acetate adhesive on sound absorption coefficient and sound transmission loss of palmyra palm fruit fiber composites[J]. Applied Acoustics, 2022. DOI: ARTN10898410.1016/j.apacoust.2022.108984.
[21] BIOT M A. Theory of propagation of elastic waves in a fluid-saturated porous solid I: low-requency range[J]. Journal of the Acoustical Society of America, 2005, 28(2): 179-191.
[22] 李瑞锋. 陶瓷空心球多孔材料吸声结构设计与声学机理研究[D]. 哈尔滨: 哈尔滨工业大学, 2015:1-50.
LI Ruifeng. Research on the design of sound-absorbing structure and acoustic mechanism of ceramic hollow sphere porous material[D]. Harbin:Harbin Institute of Technology, 2015:1-50.
[23] 李玉, 温华兵, 赵震宇, 等. 多孔泡沫吸声材料微结构对声学特性的影响分析[J]. 噪声与振动控制, 2022, 42(6): 66-72.
LI Yu, WEN Huabing, ZHAO Zhenyu, et al. Analysis of the effect of microstructure on acoustic properties of porous foam acoustic materials[J]. Noise and Vibration Control, 2022, 42(6): 66-72.
[24] 陈文清. 多孔材料参数反演及其在消声器仿真中的应用[D]. 贵州: 贵州大学, 2018:1-48.
CHEN Wenqing. Parameter inversion of porous materials and its application in muffler simulation[D]. Guizhou: Guizhou University, 2018:1-48.
[25] 温晓丹, 李辉芹, 张楠, 等. 纺织材料降噪性能的检测与评价[J]. 针织工业, 2020(8): 71-75.
WEN Xiaodan, LI Huiqin, ZHANG Nan, et al. Detection and evaluation of noise reduction performance of textile materials[J]. Knitting Industries, 2020(8): 71-75.
[26] 于长帅, 罗忠, 骆海涛, 等. 多孔吸声材料声学模型及其特征参数测试方法研究进展[J]. 材料导报, 2022, 36(4): 226-236.
YU Changshuai, LUO Zhong, LUO Haitao, et al. Advances in acoustic modelling of porous acoustic materials and their characteristic parameter testing methods[J]. Materials Research, 2022, 36(4): 226-236.
[27] 王营, 赵武, 黄丹. 多孔材料声学模型及其应用[J]. 材料导报, 2015, 29(5): 145-149.
WANG Ying, ZHAO Wu, HUANG Dan. Acoustic modelling of porous materials and its applications[J]. Materials Herald, 2015, 29(5): 145-149.
[28] 薛洪波, 伦淑娴. 粒子群算法在多目标优化中的应用综述[J]. 渤海大学学报(自然科学版), 2009, 30(3): 265-269.
XUE Hongbo, LUN Shuxian. A review on the application of particle swarm algorithm in multi-objective optimisation[J]. Journal of Bohai University (Natural Science Edition), 2009, 30(3): 265-269.
[29] FAKHOURI H N, HUDAIB A, SLEIT A. Multivector particle swarm optimization algorithm[J]. Soft Computing, 2020, 24(15): 11695-11713.
doi: 10.1007/s00500-019-04631-x
[30] TRIVEDI V, VARSHNEY P, RAMTEKE M. A simplified multi-objective particleswarm optimization algorithm[J]. Swarm Intelligence, 2020, 14(2): 83-116.
[31] 林焰, 辛登月, 卞璇屹, 等. 改进自适应惯性权重粒子群算法及其在核动力管道布置中的应用[J]. 中国舰船研究, 2023, 18(3): 1-12.
LIN Yan, XIN Dengyue, BIAN Xuanyi, et al. Improvement of adaptive inertia weight particle swarm algorithm and its application in nuclear power pipeline arrangement[J]. China Ship Research, 2023, 18(3): 1-12.
[32] DESHMUKH S, RONGE H, RAMAMOORTHY S. Design of periodic foam structures for acoustic applications: concept, parametric study and experimental validation[J]. Materials & Design, 2019. DOI:10.1016/j.matdes.2019.107830.
[33] ALLARD J F, DAIGLE G. Propagation of sound in porous media: modeling sound absorbing materials[J]. The Journal of the Acoustical Society of America, 1994, 95(5):2785-2785.
[34] 张福林, 董玲抒, 李忠盛, 等. 材料声学特性的典型参数测试技术研究进展[J]. 装备环境工程, 2020, 17(8): 131-139.
ZHANG Fulin, DONG Lingyu, LI Zhongsheng, et al. Progress of typical parametric testing techniques for acoustic properties of materials[J]. Equipment Environmental Engineering, 2020, 17(8): 131-139.
[35] KINO N. Further investigations of empirical improvements to the Johnson-Champoux-Allard model[J]. Applied Acoustics, 2015, 96: 153-170.
[36] 李小倩, 刘让同, 耿长军, 等. 织物的孔隙特征与透气透湿性研究[J]. 棉纺织技术, 2019, 47(11): 17-20.
LI Xiaoqian, LIU Rangtong, GENG Changjun, et al. Research on pore characteristics and air and moisture permeability of fabrics[J]. Cotton Textile Technology, 2019, 47(11): 17-20.
[37] 钱娟, 谢婷, 张佩华, 等. 聚乙烯针织物的热湿舒适性能[J]. 纺织学报, 2022, 43(7): 60-66.
QIAN Juan, XIE Ting, ZHANG Peihua, et al. Thermal and humidity comfort properties of polyethylene knitted fabrics[J]. Journal of Textile Research, 2022, 43(7): 60-66.
[38] 赵超, 杨彩云. 弯纱深度与针织物结构参数及导热系数间的关系[J]. 国际纺织导报, 2015, 43(11): 22-26.
ZHAO Chao, YANG Caiyun. Relationship between yarn bending depth and knitted fabric structural parameters and thermal conductivity[J]. Melliand China, 2015, 43(11): 22-26.
[39] ELTAHAN E A E, SULTAN M, MITO A B. Determination of loop length, tightness factor and porosity of single jersey knitted fabric[J]. Alexandria Engineering Journal, 2016, 55(2): 851-856.
[40] 孙曙光. 纬编针织物工艺参数的计算[J]. 针织工业, 2009(7): 10-12.
SUN Shuguang. Calculation of process parameters of weft knitted fabrics[J]. Knitting Industries, 2009(7): 10-12.
[41] 陈香云, 白小茹. 棉针织物基本性能与热湿舒适性能的关系[J]. 针织工业, 2013(3): 16-19.
CHEN Xiangyun, BAI Xiaoru. Relationship between basic properties and thermal and humidity comfort performance of cotton knitted fabrics[J]. Knitting Industries, 2013(3): 16-19.
[42] MONJOIE F S, GARNIR H P. Fit of a sum of exponential functions to experimental data points[J]. Computer Physics Communications, 1993, 74(1): 1-8.
[43] 冯元珍, 屠小明, 罗建平. MatLab软件在曲线拟合中的应用[J]. 福建电脑, 2007(3): 109,160.
FENG Yuanzhen, TU Xiaoming, LUO Jianping. Application of MatLab software in curve fitting[J]. Fujian Computer, 2007(3): 109,160.
[44] YANG X, YANG F, SHEN X, et al. Development of adjustable parallel helmholtz acoustic metamaterial for broad low-frequency sound absorption band[J]. Materials (Basel), 2022. DOI: ARTN593810.3390/ma15175938.
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