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Sound Radiation Inside an Acoustic Canyon with a Surface Sound Source Located at the Bottom 底部有表面声源的声峡谷内的声辐射
Q1 Mathematics Pub Date : 2015-06-25 DOI: 10.1142/S0218396X15500149
K. Szemela
The sound radiation inside an acoustic canyon has been analyzed for a surface sound source located at the bottom. Based on rigorous mathematical manipulations, the formulas of a high computational efficiency describing the sound pressure and sound power have been obtained. They can be easily adapted to describe the sound radiation of an arbitrary system of sound sources. As an example of their application, the sound radiation of a piston has been investigated. The asymptotic formulas of the sound power modal coefficients have been obtained. They can be used to significantly improve the numerical calculation of the sound power.
对位于底部的表面声源进行了声峡谷内声辐射分析。通过严格的数学运算,得到了计算效率高的声压和声功率描述公式。它们可以很容易地用来描述任意声源系统的声辐射。作为应用的一个例子,对活塞的声辐射进行了研究。得到了声功率模态系数的渐近公式。它们可以显著改善声功率的数值计算。
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引用次数: 3
Normal mode analysis of three-dimensional propagation over a small-slope cosine shaped hill 小坡度余弦形山丘上三维传播的正态分析
Q1 Mathematics Pub Date : 2015-06-25 DOI: 10.1142/S0218396X15500058
M. Ballard, B. Goldsberry, M. Isakson
Three-dimensional propagation over an infinitely long cosine shaped hill is examined using an approximate normal mode/parabolic equation hybrid model that includes mode coupling in the out-going direction. The slope of the hill is relatively shallow, but it is significant enough to produce both mode-coupling and horizontal refraction effects. In the first part of the paper, the modeling approach is described, and the solution is compared to results obtained with a finite element method to evaluate the accuracy of the solution in light of assumptions made in formulating the model. Then the calculated transmission loss is interpreted in terms of a modal decomposition of the field, and the solution from the hybrid model is compared to adiabatic and N × 2D solutions to assess the relative importance of horizontal refraction and mode-coupling effects. An analysis using a horizontal ray trace is presented to explain differences in the modal interference pattern observed between the 3D and N × 2D solutions. The detailed discussion provides a thorough explanation of the observed 3D propagation effects and demonstrates the usefulness of the approximate normal mode/parabolic equation hybrid model as a tool to understand measured transmission loss in complex environments.
三维传播在一个无限长余弦形状的山检查使用近似法向模式/抛物方程混合模型,包括模式耦合在出方向。山的坡度相对较浅,但足以产生模式耦合和水平折射效应。在本文的第一部分中,描述了建模方法,并将解与有限元法得到的结果进行了比较,以根据制定模型时所做的假设来评估解的准确性。然后用场的模态分解来解释计算的透射损耗,并将混合模型的解与绝热解和N × 2D解进行比较,以评估水平折射和模态耦合效应的相对重要性。分析使用水平射线迹被提出,以解释在三维和N × 2D解决方案之间观察到的模态干涉图案的差异。详细的讨论提供了观察到的3D传播效应的全面解释,并证明了近似法向模式/抛物方程混合模型作为理解复杂环境中测量传输损耗的工具的实用性。
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引用次数: 10
On the Acoustic Radiation of Axisymmetric Fluid-Filled Pipes Using the Wave Finite Element (WFE) Method 用波动有限元法研究轴对称充液管道的声辐射
Q1 Mathematics Pub Date : 2015-06-25 DOI: 10.1142/S0218396X15500113
Ajit Bhuddi, Marie-Laure Gobert, Jean-Mathieu Mencik
This paper investigates the efficiency of the wave finite element (WFE) method to assess the vibroacoustic behavior of finite baffled axisymmetric elastic pipes interacting with internal and external acoustic fluids. The pipes, of either homogeneous or multi-layered cross-sections, are surrounded by an external fluid of infinite extent, which can be light or heavy. The Sommerfeld radiation condition is taken into account by considering a perfectly matched layer (PML) around the external fluid. The method involves the computation of waves traveling along an axisymmetric multi-physics waveguide that incorporates a pipe, internal and external fluids, as well as a PML. Numerical experiments are carried out which highlight the relevance of the WFE method in terms of accuracy and CPU time savings, in comparison with the conventional finite element analysis.
本文研究了用波动有限元法评价有限折板轴对称弹性管道与内外声流体相互作用的振动声学特性的有效性。管,或均匀或多层的横截面,被无限范围的外部流体包围,可轻可重。通过考虑外部流体周围的完全匹配层(PML),考虑了索默菲尔德辐射条件。该方法包括计算沿轴对称多物理场波导传播的波,该波导包含管道、内部和外部流体以及PML。与传统的有限元分析相比,进行了数值实验,突出了WFE方法在精度和CPU时间节省方面的相关性。
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引用次数: 10
Global Coherence Field and Distributed Particle Filter-Based Speaker Tracking in Distributed Microphone Networks 基于全局相干场和分布式粒子滤波的分布式传声器网络说话人跟踪
Q1 Mathematics Pub Date : 2015-06-25 DOI: 10.1142/S0218396X15500101
Qiaoling Zhang, Zhe Chen, F. Yin
Based on the combination of global coherence field (GCF) and distributed particle filter (DPF) a speaker tracking method is proposed for distributed microphone networks in this paper. In the distributed microphone network, each node comprises a microphone pair, and its generalized cross-correlation (GCC) function is estimated. Based on the average over all local GCC observations, a global coherence field-based pseudo-likelihood (GCF-PL) function is developed as the likelihood for a DPF. In the proposed method, all nodes share an identical particle set, and each node performs local particle filtering simultaneously. In the local particle filter, the likelihood GCF-PL for each particle weight is computed with an average consensus algorithm. With an identical particle set and the consistent estimate of GCF-PL for each particle weight, all individual nodes possess a common particle presentation for the global posterior of the speaker state, which is utilized by each node for an estimated global speaker position. Employing the GCF-PL as the likelihood for DPF, no assumption is required about the independence of nodes observations as well as observation noise statistics. Additionally, only local information exchange occurs among neighboring nodes; and finally each node has a global estimate of the speaker position. Simulation results demonstrate the validity of the proposed method.
提出了一种基于全局相干场(GCF)和分布式粒子滤波(DPF)相结合的分布式传声器网络说话人跟踪方法。在分布式传声器网络中,每个节点由一个传声器对组成,并估计其广义互相关(GCC)函数。基于所有局部GCC观测值的平均值,开发了一个全球相干场伪似然(GCF-PL)函数作为DPF的似然。在该方法中,所有节点共享同一粒子集,每个节点同时进行局部粒子滤波。在局部粒子滤波中,采用平均一致性算法计算每个粒子权值的似然GCF-PL。使用相同的粒子集和每个粒子权值的一致估计GCF-PL,所有单个节点都具有演讲者状态的全局后验的共同粒子表示,每个节点利用该表示来估计全局演讲者位置。采用GCF-PL作为DPF的似然,不需要对节点观测值的独立性以及观测噪声统计量进行假设。此外,相邻节点之间只进行局部信息交换;最后,每个节点对说话人的位置有一个全局估计。仿真结果验证了该方法的有效性。
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引用次数: 2
Numerical Analysis of Acoustic Barriers with a Diffusive Surface Using a 2.5D Boundary Element Model 基于2.5维边界元模型的扩散面声障数值分析
Q1 Mathematics Pub Date : 2015-06-25 DOI: 10.1142/S0218396X15500095
C. P. Gajardo, L. Godinho, P. Amado-Mendes, J. M. B. Morillas
Acoustic barriers are a well-known environmental noise mitigation solution, which is widely used nowadays. In this work, it is expected to contribute to the body of knowledge regarding the physical and technical behavior of those barriers by developing and implementing a set of models that allow an accurate analysis of noise barriers with new configuration types. A 2.5D boundary-only numerical model is developed and implemented, and computational analyses are performed in order to compare different surface profiles of the acoustic barriers. The particular case in which two acoustic barriers are used, one at each side of the road, is addressed.
声屏障是一种众所周知的环境降噪解决方案,目前应用广泛。在这项工作中,期望通过开发和实施一套模型来准确分析具有新配置类型的噪声屏障,从而为有关这些屏障的物理和技术行为的知识体系做出贡献。建立并实现了一个仅限2.5维边界的数值模型,并进行了计算分析,以比较不同声障的表面轮廓。在特殊情况下,使用两个隔音屏障,一个在道路的一边,是解决。
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引用次数: 13
Wave Diffusion Sensitivity to Angular Positions of Defects in Pipes 管道缺陷角位置对波扩散的敏感性
Q1 Mathematics Pub Date : 2015-06-25 DOI: 10.1142/S0218396X15500137
M. Kharrat, M. Ichchou, O. Bareille, Zhou Wenjin
This paper provides a numerical investigation onto the effect of the angular position of a defect on the wave diffusion in a steel pipe. The wave finite element method (WFEM) is used to calculate reflection and transmission coefficients from defects with different angular positions as a function of frequency. The modeled defects are impinged successively by torsional T(0, 1), longitudinal L(0, 2) and flexural F(1, 2) modes. The wave diffusion in each case is examined leading to several important remarks. Results show that the choice of the incident mode as well as the studied reflected and transmitted modes play a crucial role in the circumferential localization of defects in pipes.
本文用数值方法研究了缺陷角位置对钢管内波扩散的影响。采用波动有限元法计算了不同角度缺陷的反射系数和透射系数随频率的变化。模型缺陷依次受到扭转T(0,1)、纵向L(0,2)和弯曲F(1,2)模态的冲击。对每种情况下的波扩散进行了研究,得出了一些重要的结论。结果表明,入射模式的选择以及所研究的反射模式和透射模式对管道缺陷的周向定位起着至关重要的作用。
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引用次数: 6
Penny-Shaped Crack in a Poroelastic Plate 多孔弹性板的便士形裂纹
Q1 Mathematics Pub Date : 2015-05-07 DOI: 10.1142/S0218396X15500125
R. Gilbert, Dooyoul Lee
Hydraulic fracking is used in the petroleum industry for the secondary production of either oil or natural gas. Normally a high pressure fluid is injected through a well bore to create cracks or fissures in the oil bearing sediment. Usually small grains of sand are suspended in the fracking fluid and remain after the pressure is released; thereby, allowing the oil or gas to pass more freely through the fissure. Because of the large difference of permeability of the fissure to the oil bearing strata, oil or gas flows easily into the fissure and is easily produced through the well bore. In our model we consider the fractured vein to be approximated by a penny-shaped crack, placed horizontal to the well bore. Because of symmetry conditions, in the case of a gravity drainage model for producing oil, a crack lying at the bottom of the oil bearing strata can be modeled by a sediment of twice that size with a crack lying in the center. For the case of producing natural gas a similar argument may be made. What is of interest to the petroleum industry is to determine the size of the fracture, in our case that would be the radius. This problem may be reformulated as an inverse problem where we attempt to find the radius of the fracture from sonic information, for example, by measuring the scattered Lamb waves which are created by a suddenly imposed stress on the fracture. In the present work we consider the direct problem, namely what are the amplitudes of the scattered wave for known penny-shaped crack. In a subsequent paper we will consider the inversion of the Lamb wave data to reveal the radius of the fissure.
水力压裂法在石油工业中用于石油或天然气的二次生产。通常情况下,高压流体通过井筒注入,在含油沉积物中形成裂缝或裂缝。通常,小颗粒的砂粒悬浮在压裂液中,在压力释放后仍然存在;因此,允许石油或天然气更自由地通过裂缝。由于裂缝对含油地层的渗透率差异较大,油气容易流入裂缝中,容易通过井筒产出。在我们的模型中,我们将裂缝脉近似为一个与井筒水平放置的便士形裂缝。由于对称条件,在生产石油的重力排水模型中,位于含油地层底部的裂缝可以用两倍大小的沉积物和位于中心的裂缝来模拟。对于生产天然气的情况,也可以提出类似的论点。石油工业感兴趣的是确定裂缝的大小,在我们的例子中是半径。这个问题可以被重新定义为一个逆问题,我们试图从声波信息中找到裂缝的半径,例如,通过测量由裂缝上突然施加的应力产生的散射兰姆波。在本工作中,我们考虑直接问题,即对于已知的便士形裂纹,散射波的振幅是多少。在随后的一篇论文中,我们将考虑用兰姆波数据的反演来揭示裂缝的半径。
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引用次数: 0
Novel Dispersion Curves Extraction Method for Waveguides Affected by Nonuniform Transient Temperature Field 非均匀瞬态温度场影响下波导色散曲线提取新方法
Q1 Mathematics Pub Date : 2015-05-07 DOI: 10.1142/S0218396X15500071
Denghong Xiao, Tian He, Xiandong Liu, Yingchun Shan
Guided waves sensitivity to environmental and operational conditions, especially temperature fluctuations, is one of the major problems when the method is considered for real engineering applications. The aim of this paper is to propose a novel dispersion curves extraction method for waveguides affected by nonuniform transient temperature field. Essentially, the method is based on a simple and robust approach, consisting in a few series of modal analyses for a representative part of the inspected structure. To consider the effect of temperature, a thermal stress calculation based on finite element method is presented. In this way, for different wave lengths, the mode shapes and corresponding natural frequencies can be obtained by solving some thermal-eigenvalue problems. To test the theoretical thermal effect of the dispersion curves a experiment on an isotropic plate is conducted. Those theoretical dispersion curves, consisting of only dominant modes, are compared with dispersion curves obtained from experiment. Finally, this method is used to extract the dispersion curves of the aero-engine casing considering the nonuniform temperature field. The results not only give us insight to how temperature affects Lamb wave velocities in different frequency ranges but also will help those extracting dispersion curves for waveguides affected by nonuniform transient temperature field.
导波对环境和操作条件的敏感性,特别是温度波动,是该方法在实际工程应用中考虑的主要问题之一。本文的目的是针对受非均匀瞬态温度场影响的波导,提出一种新的色散曲线提取方法。从本质上讲,该方法基于一种简单而稳健的方法,包括对被测结构的代表性部分进行一系列模态分析。考虑温度的影响,提出了一种基于有限元法的热应力计算方法。这样,在不同波长下,通过求解一些热特征值问题,可以得到模态振型和相应的固有频率。为了验证色散曲线的理论热效应,在各向同性板上进行了实验。这些理论色散曲线仅由主导模组成,并与实验得到的色散曲线进行了比较。最后,利用该方法提取了考虑非均匀温度场的航空发动机机匣弥散曲线。研究结果不仅揭示了温度在不同频率范围内对兰姆波速度的影响,而且对非均匀瞬态温度场影响下波导色散曲线的提取也有帮助。
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引用次数: 1
Acoustic Source Localization and Deconvolution-Based Separation 声源定位与反卷积分离
Q1 Mathematics Pub Date : 2015-05-07 DOI: 10.1142/S0218396X15500083
M. Bai, Chia-Hao Kuo
This paper examines two fundamental issues in sound field analysis: acoustic sources localization and separation. Algorithms are developed to locate and separate acoustic signals on the basis of plane-wave decomposition. In the localization stage, directions of plane waves are determined using either minimum variance distortionless response (MVDR) method or multiple signal classification (MUSIC) method. For broadband scenarios, coherent and incoherent techniques are utilized in the localization procedure. In the separation stage, two approaches with overdetermined and underdetermined settings can be employed. In the overdetermined approach, Tikhonov regularization (TIKR) is utilized to recover the source signals. In the underdetermined approach, the steering matrix is augmented by including the directions that have been determined in the localization stage. Hence, the separation problem is formulated into a compressive sensing (CS) problem which can be effectively solved by using convex (CVX) optimization. Simulation and experiments are conducted for a 24-element circular array. Objective tests using perceptual evaluation of speech quality (PESQ) tests and subjective listening tests demonstrate that the proposed methods yield speech signals with well separated and improved quality, as compared to the mixed signals.
本文探讨了声场分析中的两个基本问题:声源定位和声源分离。在平面波分解的基础上,提出了定位和分离声信号的算法。在定位阶段,采用最小方差无失真响应(MVDR)方法或多信号分类(MUSIC)方法确定平面波方向。对于宽带场景,在定位过程中使用相干和非相干技术。在分离阶段,可以采用过定和欠定设置两种方法。在过定方法中,利用Tikhonov正则化(TIKR)来恢复源信号。在欠定方法中,通过包含在定位阶段已确定的方向来增强转向矩阵。因此,分离问题可转化为压缩感知问题,并可通过凸优化(CVX)有效解决。对一个24元圆形阵列进行了仿真和实验。使用语音质量感知评价(PESQ)测试和主观听力测试的客观测试表明,与混合信号相比,所提出的方法产生的语音信号分离良好,质量提高。
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引用次数: 6
Improved Navier–Stokes Boundary Conditions Based on Generalized Characteristics 基于广义特征的改进Navier-Stokes边界条件
Q1 Mathematics Pub Date : 2015-05-07 DOI: 10.1142/S0218396X1550006X
Ramin Kaviani, M. Nikkhah-bahrami
In this paper, the three-dimensional Navier–Stokes characteristic boundary conditions for large-eddy and aeroacoustic simulations are extended to curvilinear coordinates formulations. A robust way of treating the transverse and gradient terms on boundary planes is presented which is different from previous generalized characteristic boundary conditions. The performance of the new formulation is examined via four test problems: an inviscid convective vortex, a two-dimensional mixing layer, a Mach 0.75 round jet, and a Mach 0.51 nozzle/jet. For each test problem, the numerical schemes used to implement the boundary conditions, the numerical parameters employed, and the predicted three-dimensional flow fields are presented. Based on the numerical experiments conducted, the new boundary conditions show promise for high-fidelity simulations of compressible viscous flows.
本文将大涡和气动声学模拟的三维Navier-Stokes特征边界条件推广到曲线坐标形式。提出了一种不同于以往的广义特征边界条件的处理边界面上横向项和梯度项的鲁棒方法。通过无粘对流涡、二维混合层、0.75马赫圆形射流和0.51马赫喷嘴/射流四个测试问题对新配方的性能进行了测试。对于每个测试问题,给出了实现边界条件的数值格式、采用的数值参数和预测的三维流场。数值实验结果表明,新的边界条件有望实现可压缩粘性流动的高保真模拟。
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引用次数: 1
期刊
Journal of Computational Acoustics
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