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The space-time structure of sound produced by stacked rotors in hover using Vold-Kalman filters and proper orthogonal decomposition 利用Vold-Kalman滤波和适当的正交分解,研究了叠置旋翼悬停时声音的时空结构
4区 工程技术 Q2 Physics and Astronomy Pub Date : 2023-09-30 DOI: 10.1177/1475472x231199186
Charles E Tinney, Yingjun Zhao-Dubuc, John Valdez
Proper orthogonal decomposition and the Vold-Kalman order tracking filter are combined to evaluate the most energetic components of the sound field produced by a coaxial, co-rotating rotor in hover. The study leverages the database generated by Tinney and Valdez (2020; AIAA J. vol. 58, no. 4) comprising an array of eight stationary microphones oriented to capture the acoustic near-field below the rotor disk plane where ground observers are expected to reside and where concerns over community annoyance are greatest. Changes to rotor conditions focus primarily on rotor speed and index angle (angular separation between the upper and lower rotors), as this has the greatest effect on the sound field produced by stacked rotors by way of the constructive and destructive interference of the sound generated, separately, by the upper and lower rotors. Proper orthogonal decomposition is performed using a kernel constructed from auto and cross-spectral densities of the spatially coherent sound field. The eigenvectors demonstrate the spatial extent of the sound field for discrete frequencies corresponding to the first few blade pass frequency harmonics. In order to improve the clarity and accuracy of the low-order reconstructions, a second generation, Vold-Kalman multi-order tracking filter is employed to isolate discrete frequencies. Relative to conventional spectral filtering methods, the Vold-Kalman filter is performed in the time-domain and is shown to accurately isolate discrete tones while preserving changes to the phase of the signal. Findings from this analysis reveal the effect of index angle on the spatial make-up of the coherent sound field produced by hovering stacked rotors.
将适当的正交分解和沃尔德-卡尔曼阶跟踪滤波相结合,对悬停时同轴共转旋翼产生的声场中最大能量分量进行了分析。该研究利用了Tinney和Valdez (2020;中华医学会期刊,第58卷,第2期。4)包括一个由8个固定麦克风组成的阵列,用于捕捉转子盘平面下方的近场声,地面观测者预计将驻扎在那里,那里对社区烦恼的担忧最大。转子条件的变化主要集中在转子转速和折射率角(上下转子之间的角分离)上,因为这对堆叠转子通过上下转子分别产生的声音的相消干涉产生的声场影响最大。利用空间相干声场的自谱密度和交叉谱密度构造的核进行适当的正交分解。特征向量表明声场的空间范围的离散频率对应于前几个叶片通过频率谐波。为了提高低阶重构的清晰度和精度,采用第二代Vold-Kalman多阶跟踪滤波器对离散频率进行隔离。相对于传统的频谱滤波方法,沃尔德-卡尔曼滤波是在时域进行的,并被证明可以准确地隔离离散的音调,同时保持信号的相位变化。分析结果揭示了折射率对叠置旋翼悬停相干声场空间构成的影响。
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引用次数: 0
Is an elliptic jet quieter than a round jet? 椭圆射流比圆形射流更安静吗?
4区 工程技术 Q2 Physics and Astronomy Pub Date : 2023-09-30 DOI: 10.1177/1475472x231206889
K. Viswanathan
Non-axisymmetric geometries, mainly elliptic and rectangular, have been proposed for the reduction of jet noise vis-à-vis round nozzles. Most of the studies of these nozzles are from unheated jets and are restricted to nozzles of very small size. Furthermore, all of them have been carried out at static conditions, thereby rendering their value to insignificance for practical applications. All engines in service with long ducts and a confluent nozzle incorporate an internal lobed mixer. The aeroacoustic characteristics of an elliptic compound nozzle that represents the geometry of an existing low bypass ratio (BPR) turbofan engine, is investigated at 1/7th scale in this study. Typical engine cycle conditions are chosen; data are acquired statically and in the presence of a flight stream. The aspect ratio of the nozzle is 2.0; higher aspect ratios are not suitable for engine applications. The results are compared with a round compound nozzle with the same internal geometry, so as to assess the acoustic benefit, if any, of the elliptic nozzle. Both a simple internal splitter and an in-service lobed mixer have been considered. The elliptic nozzle introduces azimuthal asymmetry even for an unheated jet; the magnitude of azimuthal variation becomes pronounced for heated jets. Typically, the lowest level of noise is observed towards the narrow side of the elliptic nozzle (ϕ = 0°); the noise level gradually increases and reaches a maximum towards the broader side (ϕ = 90°). Though there are some superficial similarities between the elliptic and beveled nozzles, it is shown that the noise characteristics are very different. A systematic study is carried out, with step-by-step build up to realistic geometry, with forward flight. A large noise reduction of ∼3 to ∼4 EPNdB is observed for the splitter nozzle under static conditions. The introduction of a realistic lobed mixer reduces this benefit to close to zero. Finally, there is a noise increase at all azimuthal angles with forward flight. Therefore, the elliptic nozzle does not provide any EPNL benefit for actual nozzle geometry and consequently does not constitute a viable design for noise reduction. The importance of evaluating noise reduction concepts using appropriate geometry and under realistic forward flight conditions is emphasized once again.
非轴对称的几何形状,主要是椭圆和矩形,已被提出用于降低喷射噪声-à-vis圆形喷嘴。大多数对这些喷嘴的研究都是从未加热的射流中进行的,并且仅限于非常小尺寸的喷嘴。此外,所有这些都是在静态条件下进行的,因此对实际应用的价值微不足道。所有使用中的长管道和合流喷嘴的发动机都包含一个内部叶状混合器。本文在1/7尺度下研究了代表现有低涵道比(BPR)涡扇发动机几何形状的椭圆复合喷管的气动声学特性。选择典型的发动机循环工况;数据是静态地在飞行流的存在下获得的。喷嘴长径比为2.0;高宽高比不适合发动机应用。将结果与具有相同内部几何形状的圆形复合喷嘴进行了比较,以评估椭圆喷嘴是否有声学效益。考虑了简单的内部分离器和在役的分叶混合器。椭圆喷嘴即使在未加热的射流中也引入了方位不对称性;对于加热射流,方位变化的幅度变得明显。通常情况下,最低水平的噪声被观察到朝着椭圆形喷嘴的窄边(ϕ = 0°);噪声水平逐渐增加,并在更宽的一侧(ϕ = 90°)达到最大值。椭圆型和斜面型喷嘴表面上有一些相似之处,但其噪声特性却有很大的不同。进行了系统的研究,逐步建立到现实的几何,与向前飞行。在静态条件下,分离器喷嘴的降噪幅度可达~ 3 ~ ~ 4 EPNdB。现实的分叶混合器的引入将这种好处减少到接近于零。最后,在前飞的各个方位角上都有噪声的增加。因此,对于实际的喷嘴几何形状,椭圆喷嘴不能提供任何EPNL优势,因此不能构成一种可行的降噪设计。再次强调了使用适当的几何形状和在现实的前飞条件下评估降噪概念的重要性。
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引用次数: 0
Investigation of the effects of volume change on flow structure and acoustic in a silencer 消声器内体积变化对流动结构和声学影响的研究
4区 工程技术 Q2 Physics and Astronomy Pub Date : 2023-09-29 DOI: 10.1177/1475472x231206497
Ezedin Ayaliew Yimam, Tolga Demircan
This study numerically examined the propellant flow from gunfire using the kω-SST turbulence model and their sound attenuation using the Ffowcs-Williams and Hawkins equations (FW-H). For simulation, a pressure-based solver and 3D axisymmetric geometry were used. The second-order implicit time approach and the second-order upwind scheme spatial discretization were used in the simulation. The maximum exit pressure was 3.748 MPa for the suppressor with a length of 70 mm and diameter of 20 mm. However, when the diameter suppressor increased by 1/6, the maximum exit pressure was reduced to 3.4961 MPa. When the length increased by 1/6, the maximum pressure became 3.3636 MPa. Lastly, when the diameter and length were increased by 1/6, the maximum exit pressure became 3.177 MPa. For this suppressor, 20.835 dB (12.29%) sound pressure level attenuation was achieved with 16.823 MPa (84.115%) overpressure reduction and 484.86 K or 32.32% temperature reduction. Generally, the attenuation increased with the increase in the suppressor’s internal volume.
本文采用kω-SST湍流模型对发射药的流动进行了数值模拟,并采用Ffowcs-Williams和Hawkins方程(FW-H)对发射药的声衰减进行了数值模拟。模拟采用基于压力的求解器和三维轴对称几何结构。模拟采用二阶隐式时间方法和二阶迎风格式空间离散化。长度为70 mm、直径为20 mm的消声器最大出口压力为3.748 MPa。而当减压阀直径增加1/6时,最大出口压力降至3.4961 MPa。当长度增加1/6时,最大压力为3.3636 MPa。最后,当直径和长度增加1/6时,最大出口压力为3.177 MPa。该消声器声压级衰减20.835 dB(12.29%),超压降低16.823 MPa(84.115%),温度降低484.86 K(32.32%)。一般来说,衰减随抑制器内部体积的增加而增加。
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引用次数: 0
A study of the phenomenon of “crackle” associated with the noise of high-performance aircraft at afterburner 高性能飞机加力燃烧室噪声中的“裂纹”现象研究
4区 工程技术 Q2 Physics and Astronomy Pub Date : 2023-09-25 DOI: 10.1177/1475472x231199182
Christopher KW Tam, John T Spyropoulos, Allan C Aubert, Russell W Powers
Ffowcs Williams et al were the first to discover crackle in the noise of the Concorde when the Olympus 593 engine which propelled Concorde was operating at afterburner power. Ffowcs Williams et al described crackle as a transient phenomenon. The primary objective of the present investigation is to show that the noise of F-18E aircraft has crackle. The fundamental elements in the noise of a crackling jet described by Ffowcs Williams et al are sawtooth-like pulses, bursts and trains of bursts. All these characteristic features of pressure pulses are identified in the noise of F-18E aircraft. By including a minimum pulse amplitude requirement based on the level found in the noise of the Concorde by Ffowcs Williams et al, a set of sufficiency conditions for the presence of crackle is established. It is found that crackle exists in the noise of an F-18E aircraft over a fairly large angular sector in the downstream direction. In the literature, the existence of sawtooth-like sound pulses in a noise field is often taken as an indicator of the presence of crackle. The importance of pressure pulse waveform on its impact on human hearing is briefly investigated by using a simple mechanical model of the ear.
当推动协和式飞机的奥林巴斯593发动机以加力动力运行时,Ffowcs Williams等人首先发现了协和式飞机噪音中的裂纹。Ffowcs Williams等人将裂纹描述为一种瞬态现象。本调查的主要目的是表明F-18E飞机的噪声有裂纹。Ffowcs Williams等人描述的噼啪声射流噪声的基本要素是锯齿状脉冲、脉冲和脉冲序列。在F-18E飞机噪声中识别了压力脉冲的特征特征。通过包含一个基于Ffowcs Williams等人在协和式飞机噪声中发现的水平的最小脉冲幅度要求,建立了一组裂纹存在的充分条件。在F-18E飞机的噪声中,在下游方向上有相当大的角扇形存在裂纹。在文献中,噪声场中锯齿状声脉冲的存在通常被认为是裂纹存在的标志。通过建立简单的耳力学模型,简要探讨了压力脉冲波形对人听力影响的重要性。
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引用次数: 0
Acoustic sources identified using a microphone phased array during a rocket engine test 在火箭发动机试验中使用麦克风相控阵识别声源
4区 工程技术 Q2 Physics and Astronomy Pub Date : 2023-09-15 DOI: 10.1177/1475472x231199183
Jayanta Panda, Evan D Crowe, Lester A Langford, Earl T Daley, Kenneth R Hamm, Joel W Sills
A new phased array of microphones, suitable for the harsh environment of a rocket launch, was built and tested during a static firing of an RS-25 engine. It uses 70 piezo-resistive, dynamic pressure sensors, optimally distributed on a 10.5-ft diameter open frame dome structure and has a 200-ft long cable bundle to carry the signals to a weather-protected cabinet containing the data systems. The test stand was imaged using an infra-red camera and a visible wavelength camera, and the beamformed noise maps were superimposed on the photographs. The first-time data from a full-scale engine test stand showed that the plume deflector at the bottom of the engine was the primary noise source. The openings of the test stand around the nozzle exit were also found to be noise sources particularly at higher frequencies. The final goal is to utilize the array during NASA’s Artemis-II launch at Kennedy Space Center.
一种新的相控阵麦克风,适合于火箭发射的恶劣环境,在RS-25发动机的静态点火过程中被制造和测试。它使用70个压阻动态压力传感器,最佳分布在直径10.5英尺的开放式框架圆顶结构上,并有一个200英尺长的电缆束,将信号传输到包含数据系统的防风雨机柜。利用红外相机和可见光相机对试验台进行成像,并将波束形成的噪声图叠加在照片上。全尺寸发动机试验台的首次数据表明,发动机底部的羽流导流板是主要噪声源。在喷嘴出口附近的试验台开口也被发现是噪声源,特别是在较高的频率。最终目标是在肯尼迪航天中心NASA的Artemis-II发射期间利用该阵列。
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引用次数: 0
Reynolds number and jet noise scaling 雷诺数和射流噪声标度
IF 1 4区 工程技术 Q2 Physics and Astronomy Pub Date : 2023-09-06 DOI: 10.1177/1475472x231199188
Aharon Z. Karon, K. K. Ahuja
The Reynolds number and Mach number are classical quantities used to determine the similarity of aerodynamic flows. Existing studies on the role of Reynolds Number on jet noise show inconsistent results, casting doubt on how small a nozzle diameter can be for the classical jet noise scaling laws to hold. A systematic study was therefore undertaken to resolve this issue. The Reynolds number of jet flows was adjusted using a Mach number variation between 0.4 and 0.8, and nozzle-exit diameters of 0.25, 0.5, and two inches. When the jet noise measurements were normalized, spectral collapse was observed for the spectra across the whole Reynolds number range. It was found that the Reynolds number does not have a significant effect on jet noise, and jet noise can be scaled from even the smallest of nozzle to larger nozzles.
雷诺数和马赫数是用于确定气动流动相似性的经典量。现有关于雷诺数对射流噪声作用的研究结果不一致,这让人怀疑喷嘴直径有多小才能使经典的射流噪声标度定律成立。因此,为解决这一问题进行了系统的研究。使用介于0.4和0.8之间的马赫数变化以及0.25、0.5和2英寸的喷嘴出口直径来调整射流的雷诺数。当对喷气噪声测量值进行归一化时,在整个雷诺数范围内观察到光谱坍塌。研究发现,雷诺数对射流噪声没有显著影响,射流噪声可以从最小的喷嘴缩放到较大的喷嘴。
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引用次数: 0
Flow and acoustics in a model rocket flame deflector and deflector cover 模型火箭火焰偏转板和偏转板盖内的流动和声学
IF 1 4区 工程技术 Q2 Physics and Astronomy Pub Date : 2023-09-06 DOI: 10.1177/1475472x231199184
Evren Yenigelen, Philip J Morris
The design of a rocket launch environment is a complex process with many different aspects that are highly interconnected. Acoustics, which is one of these, should be investigated in detail due to possible devastating effects on the launch vehicle, crew, and launch environment. This study uses a numerical method to consider a passive noise reduction method applied to a supersonic jet impinging on an inclined flame deflector to decrease the acoustic loads on the launch vehicle and noise levels in the far-field. In a supersonic jet impinging on an inclined flat plate configuration, acoustic waves that travel upstream originate from the impingement and wall jet regions. These upstream traveling waves are a combination of the acoustic waves that are produced by the high speed jet flows in the wall jet region and acoustic waves that reflect from the impingement wall. Due to the inclination of the impingement plate, these waves either travel to the far-field in the upstream direction or travel towards the free-jet region interacting with the high speed flow near the nozzle lip. This interaction can create a self sustaining feedback loop, which can cause acoustic tones to appear in the near- and far-field spectra. It is the aim of the present study to block the upstream traveling waves by introducing a second inclined wall with a circular cut-out between the nozzle exit and the impingement plate. Different configurations with different wall locations and cut-out sizes are investigated using a Detached Eddy Simulation CFD solver and an acoustic solver that is based on the Ffowcs Williams and Hawkings analogy. The mechanisms for the establishment of the feedback loops are examined.
火箭发射环境的设计是一个复杂的过程,有许多不同的方面是高度相互关联的。声学是其中之一,由于可能对运载火箭、机组人员和发射环境产生破坏性影响,应该进行详细的调查。本文采用数值方法研究了超音速射流冲击倾斜转焰板的被动降噪方法,以降低运载火箭的声载荷和远场噪声水平。在撞击倾斜平板结构的超音速射流中,向上游传播的声波来自撞击区和壁面射流区。这些上游行波是壁面射流区高速射流产生的声波和撞击壁面反射的声波的组合。由于冲击板的倾斜,这些波要么向上游的远场传播,要么向与喷嘴唇附近的高速流相互作用的自由射流区传播。这种相互作用可以产生一个自我维持的反馈回路,这可以导致声学音调出现在近场和远场光谱中。本研究的目的是通过在喷嘴出口和撞击板之间引入带圆形切口的第二斜壁来阻挡上游行波。采用分离涡模拟CFD求解器和基于Ffowcs Williams和hawkins类比的声学求解器,研究了不同壁面位置和切口尺寸的不同配置。研究了建立反馈回路的机制。
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引用次数: 1
Initial boundary layer state of typical model-scale jet nozzles and its impact on noise 典型模型尺度喷管初始边界层状态及其对噪声的影响
IF 1 4区 工程技术 Q2 Physics and Astronomy Pub Date : 2023-09-01 DOI: 10.1177/1475472x231199189
K. Zaman
A set of 2-inch diameter nozzles is used to investigate the effect of varying exit boundary layer (BL) states on the radiated noise from high-subsonic jets. It is confirmed that nozzles involving turbulent boundary layers are the quietest while others, involving nominally-laminar BLs, are noisier. A turbulent BL is thicker and there is simply an effect of thickness on noise. A thicker BL results in a decrease in the sound pressure spectral amplitudes due to a less vigorous growth of instability waves in the jet’s shear layer. A nominally-laminar BL, besides being thinner, may also involve significantly higher turbulence intensities, much higher than that in a turbulent BL. Such a BL state, referred to as ‘highly disturbed laminar’, results in the largest noise amplitudes especially on the high-frequency side of the spectrum. This transitional state, often encountered with model scale nozzles, involves a ‘Blasius-like’ mean velocity profile but large velocity fluctuation intensities and intermittency. The higher initial turbulence adds to the increase in high-frequency noise. The results leave little doubt that an anomaly noted with subsonic jet noise databases in the literature is due to similar effects of differences in the initial boundary layer state.
采用一组直径为2英寸的喷嘴,研究了不同出口边界层状态对高亚音速射流辐射噪声的影响。经证实,涉及湍流边界层的喷嘴是最安静的,而其他涉及名义层流BLs的喷嘴噪音更大。湍流边界层较厚,厚度对噪声有简单的影响。由于射流剪切层中不稳定波的增长较弱,较厚的边界层导致声压谱幅值降低。名义上的层流边界层除了更薄之外,还可能涉及明显更高的湍流强度,比湍流边界层高得多。这种边界层状态被称为“高度扰动层流”,导致最大的噪声幅值,特别是在频谱的高频侧。这种过渡状态经常在模型规模的喷嘴中遇到,涉及“类似blasius”的平均速度剖面,但速度波动强度大且间歇性。较高的初始湍流增加了高频噪声的增加。结果表明,文献中亚音速射流噪声数据库记录的异常是由于初始边界层状态差异的类似影响。
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引用次数: 0
Krishan Kumar Ahuja: A brief history and testimonial to the half century of achievements in acoustics 克里山-库马尔-阿胡贾半个世纪声学成就的简史与见证
IF 1 4区 工程技术 Q2 Physics and Astronomy Pub Date : 2023-09-01 DOI: 10.1177/1475472x231202624
Jeffrey M Mendoza
This paper provides some personal background, technical achievements, and a few testimonials from those who Professor Krishan Kumar Ahuja has worked with throughout his career. I have known Krish as an advisor, a colleague, and as someone I would consider a friend since my graduate school enrollment at Georgia Tech. He not only supported my research in pursuit of an MS and PhD but has been a constant reliable source of technical and professional advice throughout my young career and today, over 30 years later. This paper contains contributions from Krish’s wife Philippa, and from several students and colleagues. It has information from a small subset of many people that Krish has mentored and influenced and worked with over the years. It serves as a starting point for this special edition tribute to Dr Krish Ahuja and his half century of contributions in acoustics. Although Dr. Ahuja’s contributions in jet noise are arguably his most foundational work, he has made significant technical contributions in the areas of cavity noise, engine acoustic liner technologies, rotorcraft and UAV noise, advanced flow and noise measurements and diagnostics, active flow and noise control, and many others. The subsequent papers to follow in this special edition cover a range of topics in areas exemplary to Dr. Ahuja’s career and from authors he has worked with and influenced over the years.
本文介绍了克里希-库马尔-阿胡贾教授的一些个人背景、技术成就,以及他在职业生涯中合作过的人的一些评价。自从我在佐治亚理工学院攻读研究生以来,我就把克里希视为导师、同事和朋友。他不仅支持我攻读硕士和博士学位,而且在我年轻的职业生涯中以及 30 多年后的今天,他一直是我技术和专业建议的可靠来源。本文包含克里希的妻子菲利帕以及几位学生和同事的贡献。本文的信息来自克里希多年来指导、影响和合作过的许多人中的一小部分。它是本特别版向克里希-阿胡贾博士及其半个世纪的声学贡献致敬的起点。虽然 Ahuja 博士在喷气噪声方面的贡献可以说是他最基础的工作,但他在空腔噪声、发动机声学衬垫技术、旋翼机和无人机噪声、先进的流动和噪声测量与诊断、主动流动和噪声控制等领域也做出了重要的技术贡献。本特刊中的后续论文涉及一系列主题,这些主题都是 Ahuja 博士职业生涯中的典范领域,也是他多年来与之共事并受其影响的作者所撰写的。
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引用次数: 0
Beamforming with modified steering vectors for jet noise source location 修正导向矢量的波束形成射流噪声源定位
IF 1 4区 工程技术 Q2 Physics and Astronomy Pub Date : 2023-08-26 DOI: 10.1177/1475472x231199190
R. Dougherty
Prof. Krish Ahuja has a longstanding interest in jet noise source location. His work in this area is grounded in the idea that if the assumed source location is correct, then the sound should obey the inverse square law relative to that point and the phase should be constant along lines originating at that point. He applied this with, conceptually, one microphone in 1985 and two microphones in 1998. In 2006 he commissioned a beamforming system, Array 48, from OptiNav, Inc. His student, Nick Breen, used this to measure subsonic jet noise source location in detail. The NASA-Glenn Research Center also purchased an Array 48. In the current work, a jet noise data set measured by Gary Podboy using Glenn’s array in 2008 is revisited with a new beamforming algorithm, Robust Functional Beamforming, to further support Tam’s two-source model and Breen’s source location. Beamforming with modified steering vectors is performed to measure the parameters of the wavepacket source model from the far field. This process suggested replacing the wavepacket spatial length parameter with a temporal lifetime parameter. Another steering vector modification aimed to measure modes with odd spinning order. It seems to have found them at an apparent location 10 jet diameters removed from the jet, laterally. This is tentatively interpreted as a Mach radius phenomenon like one observed by Csaba Horvath at NASA-Glenn, also using Array 48, to study counter-rotating propeller noise. In an observation unrelated to beamforming, the excess noise measured at 40° from the jet axis as compared with the 90° angle, is fully contained in the first few cross spectral matrix eigenvalues, or Spectral Proper Orthogonal Decomposition modes, in some cases.
Krish Ahuja教授长期以来一直对喷气噪声源位置感兴趣。他在这一领域的工作是基于这样一种想法:如果假设的震源位置是正确的,那么声音应该遵循相对于该点的平方反比定律,并且相位应该沿着起源于该点的线保持恒定。1985年,他在概念上使用了一个麦克风,1998年使用了两个麦克风。2006年,他启用了OptiNav公司的波束形成系统Array 48。他的学生尼克·布林(Nick Breen)用它详细测量了亚音速射流噪声源的位置。美国宇航局格伦研究中心也购买了Array 48。在当前的工作中,Gary Podboy在2008年使用Glenn的阵列测量了一个射流噪声数据集,并使用一种新的波束形成算法,鲁棒功能波束形成,来进一步支持Tam的双源模型和Breen的源位置。采用修正导向矢量的波束形成方法从远场测量波包源模型的参数。该过程建议用时间寿命参数代替波包空间长度参数。另一种转向矢量修正旨在测量奇数旋转顺序的模式。似乎是在距离喷流直径10倍的地方发现的,侧向的。这被暂时解释为马赫半径现象,就像美国宇航局格伦中心的Csaba Horvath观察到的那样,他也使用48号阵列来研究反向旋转的螺旋桨噪音。在与波束形成无关的观测中,与90°角相比,在距离射流轴40°处测量的多余噪声完全包含在前几个交叉谱矩阵特征值中,或者在某些情况下,谱固有正交分解模式。
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引用次数: 0
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International Journal of Aeroacoustics
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