Optimization of multiple-layer microperforated panels by simulated annealing

Sound absorption by microperforated panels (MPP) has received increasing attention the past years as an alternative to conventional porous absorbers in applications with special cleanliness and health requirements. The absorption curve of an MPP depends on four parameters: the holes diameter, the panel thickness, the perforation ratio, and the thickness of the air cavity between the panel and an impervious wall. It is possible to find a proper combination of these parameters that provides an MPP absorbing in one octave band or two, within the frequency range of interest for noise control applications. However, when a wider absorption frequency band is required, it is necessary to design multiple-layer MPP (ML-MPP). The design of an N-layers MPP depends on 4N parameters. Consequently, the tuning of an optimal ML-MPP by exhaustive search within a prescribed frequency band becomes impractical. Therefore, simulated annealing is proposed in this paper as a tool to solve the optimization problem of finding the best combination of the constitutive parameters of an ML-MPP providing the maximum average absorption within a prescribed frequency band.     

A theoretical study on the effect of a permeable membrane in the air cavity of a double-leaf microperforated panel space sound absorber

A double-leaf microperforated panel absorber (DLMPP) is composed of a two microperforated panel (MPP) with a air cavity in-between, and without any backing structure. It shows a Helmholtz-type resonance peak absorption and additional low frequency absorption, therefore it can be used as a wideband space sound absorber. In this study, a theoretical study is made to examine the effect of a permeable membrane inside the air-cavity. Permeable membranes are studied in our previous studies and proved to be effective to improve the sound absorption performance of various type MPP sound absorbers. We investigate the absorption characteristics of a DLMPP with a permeable membrane in the cavity through numerical examples, and also studied the effect of honeycomb in the cavity of the same sound absorption structure.     

Sound absorption of microperforated panel mounted with helmholtz resonators

Microperforated panel (MPP) absorbers have been widely used in noise reduction and are regarded as a promising alternative to the traditional porous materials. However, the absorption bandwidth of a single-layer MPP is insufficient to compete with the porous materials. In order to improve the sound absorption ability of the single-layer MPP, MPP mounted with Helmholtz resonators (MPPHR) is introduced. Based on the MPP, Helmholtz resonators theory and electro-acoustical equivalent circuit principle, sound absorption properties of MPPHR are studied. Simulation and experimental results show that MPPHR have two peak frequencies and one anti-resonant frequency. The low-frequency peak is dependent on the Helmholtz resonators, while the high frequency peak is close to the peak of the single-layer MPP. The low-frequency sound absorption peaks move to low frequency with the neck length and the volume of Helmholtz resonators increasing. The high-frequency sound absorption peaks move to high frequency with the volume of Helmholtz resonators cavity increasing. Multiple Helmholtz resonator parallel MPP structure can provide more sound absorption than single MPPHR at low frequency range due to the introduction of more additional sound absorption peaks.     

Quantification of defects in composites and rubber materials using active thermography

Active (lock-in and pulsed) thermography technique is used to quantify defect features in specimens of glass fiber reinforced polymer, high density rubber, low density rubber and aluminum bonded low density rubber with artificially produced defects. The relationship between phase contrast and thermal contrast with defect features are examined. Using lock-in approach, the optimal frequencies for different specimens are determined experimentally. It is observed that with increasing defect depth, the phase contrast increases while the thermal contrast decreases. Defects with radius to depth ratio greater than 1.0 are found to be discernible. The phase difference between sound and defective region as a function of square root of excitation frequency for glass fiber reinforced polymer specimen is found to be in good agreement with the predictions of Bennet and Patty model [1]. Further, using pulsed thermography, the defects depth could be measured accurately for glass fiber reinforced polymer specimen from the thermal contrast using the analytical approach of Balageas et al. [2].     

Utilization of coir fiber in multilayer acoustic absorption panel

Coconut is one of the most important harvests in Malaysia. Industrial prepared coir fiber is obtained from coconut husk combined with latex and other additives to enhance its structural characteristics. Unfortunately, such inevitable process diminishes the acoustical features of material. Previous studies on industrial coir fiber and fiber-air gap layers showed that low frequency absorptions needed improvements. Therefore perforated plate (PP) was added to the multilayer structure to further enhance the sound absorption in this area. Analyses were accomplished through three PP modeling approaches (Allard, Beranek and Ver, Atalla and Sgard) and Allard Transfer Function (TF) method. Experiments were conducted in impedance tube to support the analytical results. Outcomes showed that Allard TF method was generally closer to measurement values and implemented for additional analyses. Two possible conditions of putting PP in front of fiber layer or between fiber-air gap layers were investigated. Both arrangements were suitable to enhance the sound absorption. Although, when PP was backed by coir fiber and air gap, porosity of the plate had great influence in adjusting the amount of low frequency absorption. Result derived that PP might improve the low frequency absorption of coir fiber but at the same time the medium frequency absorption was reduced. This effect was noticed previously in coir fiber-air gap structures while the air gap thickness increased. The advantage of using PP was that it assisted in greatly reducing the air gap thickness under the same acoustical performance. Hence it is an efficient tool to reduce the thickness of acoustic isolators in practical purposes.     

Relationship between Helmholtz-resonance absorption and panel-type absorption in finite flexible microperforated-panel absorbers

Microperforated panels (MPPs) can provide wide-band absorption without fibrous and porous materials and are recognized as next-generation absorption materials. Although the fundamental absorbing mechanism of an MPP absorber is Helmholtz-resonance absorption, sound-induced vibration of an MPP itself can affects the absorption characteristics. There have been some studies considering the effects of the sound-induced vibration and there even is a proposal to widen the absorption bandwidth by positively utilizing the vibration of an MPP itself. On the other hand, in a previous study, the relationship between MPP absorbers and panel-type absorbers was investigated with infinite theory. However, the relationship between Helmholtz-resonance absorption and panel-type absorption in finite flexible MPP absorbers has not been clarified. Herein, from the viewpoint of an absorption-characteristics transition with the perforation ratio, the relationship between Helmholtz-resonance absorption and panel-type absorption including the effects of eigen-mode vibrations of the panel is theoretically and experimentally investigated. The analytical model considers a finite flexible MPP supported in a circular duct, and the predicted data for the absorption coefficient under normal incidence is validated by an experiment using an acoustic tube. From this investigation, it is found that panel-type absorption due to eigen-mode vibrations of the panel occurs independently from Helmholtz-resonance absorption, while panel-type absorption due to a mass-spring resonance of a panel and a back cavity has a trade-off relationship with Helmholtz-resonance absorption with respect to the perforation ratio.     

The insertion loss of perforated porous plates in a duct without and with mean air flow

Measurements of the acoustic insertion loss of poroelastic plates with different perforation ratios, mounted transversely across a flow duct, without and with flow have been made at various locations in the duct. For the lower perforation ratio the insertion loss is found to be approximately 3 dB higher with air flow than without over the frequency range of the measurements. A parallel impedance model has been formulated to predict the effects of perforation on the insertion loss without flow. Measurements and predictions without flow have been found to be in reasonable agreement.     

Study on maximum band gap of two-dimensional photonic crystal with elliptical holes

In this paper, the maximum photonic band gap (PBG) of two-dimensional (2D) photonic crystal (PC) with elliptical air holes was studied by the finite-difference time-domain (FDTD) method based on changing the ratio (semi-major axis length of elliptical hole to the filling ratio) and azimuth angle of elliptical holes, respectively. It is shown that the PBG exhibits a peak value when the ratio of semi-major axis length to the filling ratio is equal to 0.86 approximately by increasing the filling ratio, and central frequency and the low boundary frequency of PBG decrease linearly with the increasing of semi-major axis length. In the aspect of the influence of azimuth angle from 0 to 90°, the PBG presents a minimum value, and central frequency and the low boundary frequency of PBG become high non-linearly by the increasing of azimuth angle to any filling ratio.     

太赫兹波在飞行器等离子体鞘套中的传输特性

针对临近空间飞行器的黑障问题,根据模拟的RAM C-Ⅲ飞行器周围的流场分布结果,计算了等离子体电子密度和碰撞频率,并根据其分布建立了非均匀的等离子体模型。在此基础上,利用散射矩阵方法分析了太赫兹波在等离子体中的传输特性随着等离子体密度、等离子体厚度、等离子体碰撞频率的变化以及外加磁场对传输特性的影响。结果表明,太赫兹波的传输损耗随着等离子体电子密度和等离子体厚度的增加而增加,而碰撞频率的增加会使得透射率先减小后增加。在外加磁场的作用下,左旋太赫兹波的传输特性会得到改善;而对于右旋太赫兹波,磁场的施加会引入吸收峰,并且随着磁感应强度的增加向高频方向移动。     

On the variations of acoustic absorption peak with particle velocity in micro-perforated panels at high level of excitation

The acoustic behavior of micro-perforated panels (MPP) is studied theoretically and experimentally at high level of pressure excitation. A model based on Forchheimer's regime of flow velocity in the perforations is proposed. This model is valid at relatively high Reynolds numbers and low Mach numbers. The experimental method consists in measuring the acoustical pressure at three different positions in an impedance tube, the two measurement positions usually considered in an impedance tube and one measurement in the vicinity of the rear surface of the MPP. The impedance tube is equipped with a pressure driver instead of the usual loudspeaker and capable of delivering a high sound pressure level up to 160 dB. MPP specimens made out of steel, dural and polypropylene were tested. Measurements using random noise or sinusoidal excitation in a frequency range between 200 and 1600 Hz were carried out on MPPs backed by air cavities. It was observed that the maximum of absorption can be a positive or a negative function of the flow velocity in the perforations. This suggests the existence of a maximum of absorption as a function of flow velocity. This behavior was predicted by the model and confirmed experimentally.     

Impact of perforation impedance on the transmission loss of reactive and dissipative silencers

The effect of perforation impedance on the acoustic behavior of reactive and dissipative silencers is investigated using experimental and computational approaches. The boundary element method (BEM) is applied for the prediction of transmission loss of silencers with different perforation geometries. The variations are considered in the porosity (8.4 and 25.7%) and hole diameter (0.249 and 0.498 cm) of perforations for both reactive and dissipative silencers, as well as the fiber filling density (100 and 200 kg/m3) for the latter. The acoustic impedance for a number of perforations in contact with air alone and fibrous material has been incorporated into the predictions, which are then compared with the measured transmission loss using an impedance tube setup. The results demonstrate the significance of the accuracy of the perforation impedance in the predictions for both reactive and dissipative silencers.     

Band structure of photonic crystal fibers with silica rings in triangular lattice

The characteristics of the cladding band structure of air-core photonic crystal fibers with silica rings in triangular lattice are investigated by using a standard plane wave method. The numerical results show that light can be localized in the air core by the photonic band gaps of the fiber. By increasing the air-filling fraction, the band gap edges of the low frequency photonic band gaps shift to shorter wavelength, whereas the band gap width decreases linearly. In order to make a specified light fall in the low frequency band gaps of the fiber, the interplay of the silica ring spacing and the air-filling fraction is also analyzed. It shows that the silica ring spacing increases monotonously when the air-filling fraction is increased, and the spacing range increases exponentially. This type fiber might have potential in infrared light transmission.     

关于微穿孔板吸声体频带宽度极限的讨论

依据马大猷教授的微穿孔板吸声体准确理论,利用计算机辅助设计对于该结构频带宽度极限情况从理论上进行了讨论,把极限频宽和最大吸声系数的制约关系量化,并得到此情况下应用于低频或高频环境孔径的选用范围,以及此情况下板厚和穿孔率与传统观念不同的特点。以上分析结果以及所提供的结构参数为宽频带微穿孔板的具体设计提供有价值的参考。     

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。     

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。      

第一性原理研究In,N共掺杂SnO2材料的光电性质

采用全电势线性缀加平面波(FP-LAPW)的方法,基于密度泛函理论第一性原理结合广义梯度近似(GGA),运用Wien2k软件计算了In, N两种元素共掺杂SnO₂材料的电子态密度和光学性质. 研究表明,共掺杂结构在自旋向下和向上两方向上都出现细的局域能级,两者态密度分布不对称;带隙内自旋向下方向上产生局域能级,共掺化合物表现出半金属性;能带结构显示两种共掺杂化合物仍为直接禁带半导体,价带顶随着N浓度的增加发生向低能方向移动,带隙明显增宽;共掺下的介电函数虚部主介电峰只在8.58 eV 关键词： 电子结构 态密度 能带结构 光学性质     

长周期光纤光栅弯曲特性的模式耦合理论分析

运用模式耦合理论分析了长周期光纤光栅的弯曲特性,得出了该特性与光纤归一化频率V和模式的阶数m有关的结论,即随着弯曲曲率的增大,其谐振波长可能向长波方向漂移也可能向短波方向漂移,光纤的归一化频率和所考察模式的阶数是其决定因素.并运用等效倾斜光栅理论合理解释了弯曲长周期光纤光栅耦合峰幅值的变化特性.     

Enhancement of low-frequency sound absorption of microperforated panels by adding a mechanical impedance

In order to solve the bad low frequency sound absorption of the Micro-Perforated panel(MPP)absorber,mechanical impedance was introduced in the back of the MPP absorber to form a composite structure.According to the same particle vibration velocity on both sides of a plate,the mechanical impedance plate transfer matrix could be obtained.The units of the mechanical impedance,cavity and MPP were connected in series with the use of the transfer matrix method,thus creating the composite structure’s theoretical calculation model.The quality factor affecting absorption bandwidth was analyzed.Bandwidth is inversely proportional to the mechanical impedance plate mass.During the experiments,when at close to 400 Hz,the composite structure reached an absorption peak with a coefficient of above 0.8.Experimental results concurred with theoretical calculations.Mechanical resonance is added based on the traditional MPP resonance sound absorption mechanism.Through this,the performance of low frequency sound absorption can be improved without increasing the thickness of the structure.The frequency band can be broadened by reducing the mechanical impedance plate mass and controlling its boundary-damping coefficient.     

Error analysis of the piston estimation method in dispersed fringe sensor

Dispersed fringe sensor(DFS) is an important phasing sensor of next-generation optical astronomical telescopes. The measurement errors induced by the measurement noise of three piston estimation methods for the DFS including leastsquared fitting(LSF) method, frequency peak location(FPL) method and main peak position(MPP) method, are analyzed theoretically and validated experimentally in this paper. The experimental results coincide well with the theoretical analyses.The MPP, FPL, LSF are used respectively when the DFS operates with broadband light(central wavelength: 706 nm,bandwidth: 23 nm). The corresponding root mean square(RMS) value of estimated piston error can be achieved to be1 nm, 3 nm, 26 nm, respectively. Additionally, the range of DFS with the FPL can be more than 100 μm at the same time. The FPL method can work well both in coarse and fine phasing stages with acceptable accuracy, compared with LSF method and MPP method.     

介质柱型二维Triangular格子光子晶体的禁带特性

采用平面波展开法数值计算了空气背景中由圆形、正六边形和正方形介质柱构造的二维三角晶格光子晶体禁带结构,并研究了介质方柱旋转角度、介质折射率和填充比对完全光子禁带宽度的影响.结果表明,在低频区,介质方柱旋转17°时,出现最大完全光子禁带,且最大禁带宽度随介质折射率的变化较为稳定.在高频区,介质方柱旋转30°时,完全光子禁带宽度最大;且介质材料折射率n=2.2时即出现完全光子禁带,n=2.6时,完全光子禁带达到最大.