A practical acoustical absorption analysis of coir fiber based on rigid frame modeling

An analytical study based on rigid frame model is demonstrated to evaluate the acoustic absorption of coir fiber. Effects of different conditions such as combination of air gap and perforated plate (PP) are studied in this work. Materials used here are treated as rigid rather than elastic, since the flow resistivity of coir fiber is very low. The well-known rigid frame Johnson-Allard equivalent-fluid model is applied to obtain the acoustic impedance of single layer coir fiber. Atalla and Sgard model is employed to estimate the surface impedance of PP. Acoustic transmission approach (ATA) is utilized for adding various consecutive layers in multilayer structure. Models are examined in different conditions such as single layer coir fiber, coir fiber backed with air gap, single layer PP in combination with coir fiber and air gap. Experiments are conducted in impedance tube on normal incidence sound absorption to validate the results. Results from the measurement are found to be in well agreement with the theoretical absorption coefficients. The performance of the rigid frame modeling method is checked more specifically in all conditions, by the mean prediction error rate of normal incidence sound absorption coefficients. Comparison between the measured absorption coefficients and predicted by rigid frame method shows discrepancy lower than 20 and 15% for most of the conditions in the frequency range of 0.2?C1.5 and 1.5?C5 kHz, respectively. Moreover, acoustic absorption of various single and multilayer structures is compared with the simpler empirical methods such as Delany-Bazley and Miki model; and complicated method such as Biot-Allard Model and Allard Transfer Function (TF) method. Comparisons show that the presented method offers a better accuracy of the results than the empirical models. Subsequently, it can provide almost same absorption plot with Biot-Allard model (single layer combination) and TF method (multilayer combination) proving it to be a comprehensively easy and general analytical tool. Therefore, the rigid frame model can be implemented relatively easier than other similar models to analyze the acoustic absorption of coir fiber in most of the conditions.     

Noise control of a rectangular cavity using macro perforated poro-elastic materials

The effectiveness of macro perforated porous materials to control noise levels inside a cavity is investigated. This is done using a finite element formulation based on the Biot-Allard theory that accounts for sound propagation in a poro-elastic medium. Earlier investigations have shown that macro-holes in a porous material can enhance low frequency sound absorption. However, this has been demonstrated in free field or waveguide environments. When such an approach is used in a cavity, it is seen that only certain patterns of macro-holes, dictated by cavity mode shapes, enhance noise reduction in the higher frequency ranges. This phenomenon is shown to be independent of porous material properties by considering two different materials. A correlation between the mode shapes and material removal is also established. A detailed convergence study for both cavity and poro-elastic finite element models, establishes the suitability of using higher order interpolation functions for coupled cavity-poro-elastic acoustic analysis.     

高声压级时多孔金属板的吸声特性研究

针对高声压级下有限厚度多孔金属板在线性阻抗背衬条件下(背衬表面声压与声质点速度为线性关系)的吸声问题,提出了一个描述不同声压级下材料层法向吸声性能的一维模型,并给出求解材料层内部声质点速度的线化与差分方法,以预测多孔金属板在高声压级下的非线性吸声特性。在阻抗管中对两块多孔金属板进行了声学测试,得到了材料层法向表面阻抗和吸声系数随入射声压级变化的实验结果。研究表明:实验与理论预测符合良好,验证了模型与数值方法的正确性。本文所提原理和方法,可用于一般硬质多孔材料。      

梯度穿缝型双孔隙率多孔材料的吸声性能

在传统单一孔隙率多孔材料中引入宏观尺度的周期性梯度穿缝结构设计,构造出梯度穿缝型双孔隙率多孔材料,其包含多孔材料基体微孔尺度与穿缝尺度两个尺度。采用分层等效的理论建模方法,将复杂梯度渐变问题变为多层均匀等效层叠加问题。针对不同特征尺寸的多孔材料薄层,分别采用低、高两种渗透率对比度双孔隙率理论,给出了其等效密度和动态压缩系数,再应用传递矩阵方法得到了相邻薄层之间的声压和质点速度传递关系并求得其表面声阻抗,从而建立了梯度穿缝型双孔隙率多孔材料的吸声理论模型。发展了多尺度材料声学有限元数值模型,在所考虑的100~3000 Hz频段范围内数值模拟结果完全吻合理论模型结果。理论与模拟分析了多尺度结构参数对双孔隙率多孔材料吸声性能的影响,结果表明引入多尺度梯度结构设计能够显著提高单一孔隙率多孔材料的吸声性能,且穿缝尺度比穿缝梯度影响更为显著;精细数值模拟获得的声压和能量密度分布云图揭示了多尺度结构设计的吸声增强机制。该工作可用于指导双孔隙率多孔材料的多尺度结构设计,从而提高多孔材料的中低频吸声性能。      

Sound absorption performance of gradiently slit-perforated double-porosity materials

A gradiently slit-perforated double-porosity material is proposed by introducing macro-scale periodic gradient slit-perforations into traditional porous materials with singleporosity.This material is one kind of multiscale material since it includes two scales of matrix micro-pore size and slit-perforation size.A theoretical model is developed for the sound absorption of the gradiently slit-perforated double-porosity material.In the model,the material is divided into lots of thin layers and each layer is approximated to be straight slit-perforated material.The equivalent density and dynamic compressibility of each thin layer are given by using the low or high permeability contrast double-porosity theory.Then the sound pressure and particle velocity relations between adjacent thin layers are obtained by employing the transfer matrix method.Finally,the surface acoustic impedance and the sound absorption of the gradiently slit-perforated porous material can be calculated.A finite element model is further established to validate the accuracy of the theoretical model.In the considered frequency range of 100-3000 Hz,the simulation results agree well with theoretical results.The influence of multiscale structural parameters on the sound absorption performance of the porous materials is analyzed theoretically and numerically.It is proved that the multiscale structure design can significantly improve the sound absorption performance of porous materials.Compared to the slit-perforation gradient,the slit-perforation width plays a more significant influence on sound absorption.The sound absorption enhancement mechanism of the multiscale structure design is revealed by the analysis of the sound pressure and energy dissipation distributions in the material.This work provides a multiscale structural design method for improving the sound absorption performance of traditional porous materials at broadband frequency.     

含三聚氰胺多孔材料分层复合介质吸声特性*

三聚氰胺泡沫材料是一种具有高开孔率的多孔材料,具备优良的吸音、防火隔热及环保性能,可以作为吸声材料与弹性板、空腔介质形成复合结构,在建筑、航空、交通工具等工程领域有广泛的应用。该文基于Biot理论和分层介质在交界面处的不同边界条件,建立非均匀复合介质背衬刚性壁面结构的理论声学模型,详细分析了多孔材料布局对复合结构吸声特性的影响。该文理论模型计算的结果与阻抗实验得到的垂直入射吸声系数基本一致,验证了理论模型的正确性。结果表明:在多孔材料前面增加空气层可以改善高频吸声特性;在多孔材料后面增加空气层可以改善复合结构低频吸声特性。通过合理配置多孔材料,可以在应用需求频段上达到满意的吸声效果。     

穿纤维微穿孔板吸声系数的有限元仿真

为拓宽微穿孔板的吸声频带,该文用有限元算法建立了典型微穿孔板和穿入不同数量金属纤维的微穿孔板模型,研究了两种微穿孔板的吸声系数、声阻抗和微孔内法向质点速度的空间分布,并进行了试验验证。有限元仿真和试验数据表明:穿入金属纤维可以拓宽微穿孔板的吸声频带,吸声系数也随纤维根数的增加而下降;吸声系数仿真结果与试验结果趋势一致,仿真模型可以有效模拟穿入纤维前后微穿孔板的吸声特性;穿入金属纤维导致黏滞效应引起的低质点速度区域增大,声阻增加,引起吸声系数的降低,而声抗变化不大。研究发现,有限元仿真方法适用于结构相对复杂的微穿孔结构的声学建模,能直观地体现微孔复杂结构的影响,值得继续深入研究和工程应用。     

Seven-hole hollow polyester fibers as reinforcement in sound absorption chlorinated polyethylene composites

A series of thin, lightweight and low-cost sound absorption composites consisting of chlorinated polyethylene (CPE) and seven-hole hollow polyester fibers (SHPF) were fabricated. The sound absorption property of the fiber composites was tested in an impedance tube, the morphology was characterized by a scanning electron micrographs (SEM) and the mechanical property of fiber composites was measured by strength tester. The effect of fiber content, composite thickness, and cavity depth on the sound absorption property, and the effect of fiber content on mechanical property and micro-structure were investigated. The results demonstrated that acoustical characteristics of porous materials were exhibited by mixing with SHPF. Acoustical absorption of materials increased significantly with increasing SHPF content. Furthermore, the acoustic property of composite with 20% SHPF concentration and 3 mm thickness was noted in the low frequency range, giving a sound absorption coefficient peak, 0.695 at 2500 Hz. Composite with air back cavity had resonance characteristics of a lamella with an absorption peak only occurring at a specific frequency. Compared with pure CPE of similar thickness, mechanically CPE/SHPF composite at the 1 mm thickness and 20% SHPF exhibited 228% higher tensile stress and 96% lower breaking strain. It appears from these results that CPE/SHPF composites have potential for engineering applications especially as sound absorbers.     

Enhancing sound absorption using periodic micro-perforated structure with porous layer

To get desired sound absorption,we proposed a novel periodic composite structure comprised of micro-perforated plates(MPPs),porous materials and air cavities.The composite structure is then solved using an equivalent circuit model,with equivalent fluid porous model and Maa's theory.Distributed four-pole elements are used to handle structures which are not compact compared to the sound wavelength.The model procedures are validated and confirmed as satisfactory by published results and finite-element results.Analysis conducted on a single layer shows that,compared with traditional MPP,the porous addition can increase sound absorption in the low-to-medium frequency range;however,the advantage of porous materials in the high-frequency range is lost.Meanwhile,by arranging the porous materials in parallel and controlling their filling ratios,the absorption curve of the composite structure can be tuned.As to periodic composite structures,it is found that the influence of layer number N is mainly in the low-to-medium frequency range.When N varies,the half-absorption bandwidth increases over 40%(≥380 Hz) compared with a single layer.Compared with multi-layered MPPs,N=2 and N=4 produce an increase of bandwidth by 50%(≥400 Hz) and 30%(≥300 Hz) respectively.As N increases,the sound absorption is better but the enhancement weakens as it tends to the limit of the composite structure.These results show the potential enhancements that can be made to the traditional MPP,which can benefit the research on wideband noise reduction in the low-to-medium frequency range.     

利用含多孔介质微穿孔周期结构增强声吸收

为获得理想吸声性能,提出了一种由多孔材料,微穿孔板及空气层构成的周期复合结构,并利用微穿孔板理论和等效流体多孔材料模型,结合等效电路法进行了分析。结果表明,复合结构显著增强了微穿孔板结构的中低频吸声性能,但其高频性能较单独多孔材料差;采用合适填充比例并联布置多种多孔材料,可适当调节复合结构的吸声性能。此外,周期复合结构的堆叠层数N≥1时,相对单层复合结构,中低频吸声带宽提升至少40%(≥380 Hz);相对多层微穿孔板结构,增大N对相应中低频吸声带宽提升不低于30%(≥300 Hz)。总体上,文中周期复合结构可显著增强传统微穿孔结构的中低频性能,是一种简单高效的中低频宽频降噪方案。      

释压法混合吸声系统中多孔材料厚度优化研究

研究释压法主被动混合吸声结构吸声性能与多孔吸声材料参数的关系,利用释压法对材料厚度敏感的特性,选择合适的多孔材料厚度提高系统的低频吸声性能。提出一种释压法主被动混合双层吸声结构,将误差传声器置入两层吸声结构之间的空气层中,分别优化各层的厚度,在较宽频带内获得较好吸声。对流阻系数为15000NSm^-4的一类典型的玻璃棉数值仿真,发现选择优化厚度分别为2.8 cm和6 cm,中间空腔长为2 cm,可使有效吸声频带向下大幅扩展。实验结果验证了所提宽带吸声结构。     

扩散吸声体的优化设计

由于扩散吸声体(Diffsorber)同时兼顾了扩散和吸声两方面的性能,在小房间的声学环境控制中有着特殊的功能。在比较成熟声吸收和声扩散理论的基础上,结合数论中的伪随机理论,提出利用吸声材料本身的声阻抗实现伪随机分布的新优化设计手段,并利用计算机编程实现,由此设计了多种不同吸声效果的扩散吸声体,以满足不同场合的需要。实验结果表明新方法的有效性。同时探讨了新型吸声扩散体的应用潜力。     

Sound absorption characteristics of a high-temperature sintering porous ceramic material

This article is dedicated to sound absorption properties of porous zeolite with macropores, a ceramic material fabricated by high-temperature sintering. Acoustical properties of this ceramic material are studied by two analytical models, Delany–Bazley model and Johnson–Allard model, where the latter one shows a better fit to the experimental results. Moreover increasing the thickness of samples would improve the sound absorption in the low frequency ranges. Raising the porosity could increase the highest sound absorption coefficient. The resonance frequencies of the materials with 3–5 mm particles are more obvious. Comparing with glass wool, porous zeolite has a better sound absorption.     

Porous metal absorbers for underwater sound

Rubber has traditionally been used for underwater sound absorption. Porous metal is a relatively lightweight material and also has higher strength than rubber. However, exactly how porous metals can be used as effective underwater sound absorbers remains unclear. This paper shows how to use porous metal absorbers so that they work well under water, even under fairly constrained conditions. A method of nondimensional analysis is proposed that allows identification of vital characteristics. This means that such characteristics can be varied and the absorbers themselves filled with different types of viscous fluids. Such analysis suggests that the sound absorption coefficient of porous metals does not always increase when there are either increases in porosity or decreases in average pore size. The same method of analysis can show how, by choice of the right characteristics to choose a suitable viscous fluid, a porous metal absorber can be built that takes up little space but still effectively absorbs underwater sounds at low frequencies.     

Manufacturing and modelling of sintered micro-porous absorption material for low frequency applications

A novel sintering based method to produce thin ultrahigh molecular weight polyethylene, UHMWPE, absorption material layer to increase absorption at low frequencies is introduced. The experimental impedance tube measurement results show that a 4 mm thick sintered sample layer increases absorption at a low frequency range below 1000 Hz compared with commercial melamine and polyester absorption foam samples. To cover a wider frequency range, multilayer structures composed of a sintered micro-porous material layer and commercial melamine and polyester foam layers are created and examined. The sintered sample layer also increases absorption in multilayer structures at low frequencies. Absorption coefficient values above 0.5 are reached starting from 200 Hz with multilayer structures. Software exploiting Biot’s theory of porous materials has been adopted to fit the experimental absorption data for sintered samples, commercial foams and multilayers. Software based on Biot’s theory was found to deliver quite good correlation with measured absorption coefficient values, with disagreements below 10% between the measured and estimated values.     

Controlling sound absorption by an upstream resistive layer

Resistive screens, or perforated plates, are widely used upstream of porous materials. They can be used either for protection or decoration, or for acoustic properties enhancement. This study points out the role that a resistive layer can have upstream on a porous material. Based on numerical simulations, this work gives the guidelines for rational use of high resistive layers in order to maximize the normal sound absorption of porous multilayers. Two major results emerge: (i) the upstream resistive layer can control the sound absorption of the porous multilayer, while nullifying the acoustic properties of downstream layer and (ii) this upstream layer may be detrimental to sound absorption of porous multilayer. Experimental validation on a porous multilayer, controlled by a woven textile, supports these findings. The sound absorption of material with poor sound absorption performance can be enhanced with a conveniently designed resistive layer.     

Sound insulation of double-leaf walls - Allowing for studs of finite stiffness in a transfer matrix scheme

In a recent paper by the present author the effect of finite structural connections on the sound reduction index of double walls was predicted by modifying a model based on the transfer matrix technique. However, the model did not include any means to account for the flexibility of the studs; they were assumed to be of infinite stiffness. Based on data for the effective stiffness of flexible steel studs, the model is extended to take account of this flexibility. A number of comparisons are performed, mainly with the measured sound reduction index of lightweight double walls with gypsum boards. Cases include walls with cavity filling as well as with empty (air-filled) cavities. In the latter cases, the energy losses of the cavity are simulated using a model of a porous layer with a minute flow resistivity. Predicted results compare favourably with measurement results. It is assumed that different basic types of studs, i.e. other than the TC-type simulated here may successfully be included in the model.     

Evaluation of the acoustic and non-acoustic properties of sound absorbing materials using a three-microphone impedance tube

This paper presents a straightforward application of an indirect method based on a three-microphone impedance tube setup to determine the non-acoustic properties of a sound absorbing porous material. First, a three-microphone impedance tube technique is used to measure some acoustic properties of the material (i.e., sound absorption coefficient, sound transmission loss, effective density and effective bulk modulus) regarded here as an equivalent fluid. Second, an indirect characterization allows one to extract its non-acoustic properties (i.e., static airflow resistivity, tortuosity, viscous and thermal characteristic lengths) from the measured effective properties and the material open porosity. The procedure is applied to four different sound absorbing materials and results of the characterization are compared with existing direct and inverse methods. Predictions of the acoustic behavior using an equivalent fluid model and the found non-acoustic properties are in good agreement with impedance tube measurements.     

水介质管路弹性背腔微穿孔消声器的传递损失特性

为抑制水介质管路系统低频噪声,兼顾结构的紧凑性,提出弹性背腔微穿孔管路消声结构,弹性管壁为橡胶帘线复合材料,并推导了传递损失的数值解法.首先,基于Biot-Allard多孔弹性理论,将弹性微穿孔板等效为弹性多孔材料;然后,利用双尺度法建立帘布的周期性代表单元,求得其刚度矩阵;接着,基于分层理论,建立弹性管壁的多层复合材...