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A New Implementation of the Extended Helmholtz Resonator Acoustic Liner Impedance Model in Time Domain CAA 扩展亥姆霍兹谐振腔声线性阻抗模型在时域CAA中的新实现
Q1 Mathematics Pub Date : 2016-03-22 DOI: 10.1142/S0218396X15500150
L. Pascal, E. Piot, G. Casalis
The application of wall acoustic lining is a major factor in the reduction of aircraft engine noise. The extended Helmholtz Resonator (EHR) impedance model is widely used since it is representative of the behavior of realistic liners over a wide range of frequencies. Its application in time domain CAA methods by means of z-transform has been the subject of several papers. In contrast to standard liner modeling in time domain CAA, which consists in imposing a boundary condition modeling both the cavities and the perforated sheet of the liner, an alternative approach involves adding the cavities to the computational domain and imposing a condition between these cavities and the duct domain to model the resistive sheet. However, the original method may not be used for broadband acoustics since it implements an impedance condition with frequency independent resistance. This paper describes an extension of this method to implement the EHR impedance model in a time domain CAA method.
墙体声学衬里的应用是降低飞机发动机噪声的一个重要因素。扩展亥姆霍兹谐振器(EHR)阻抗模型由于能在很宽的频率范围内代表实际衬里的行为而得到了广泛的应用。它在z变换的时域CAA方法中的应用已经成为几篇论文的主题。与时域CAA中的标准线性模型(包括对空腔和衬垫穿孔板施加边界条件)相比,另一种方法是将空腔添加到计算域中,并在这些空腔和管道域之间施加条件来对电阻片进行建模。然而,原始方法可能不适用于宽带声学,因为它实现了具有频率无关电阻的阻抗条件。本文描述了该方法的扩展,在时域CAA方法中实现EHR阻抗模型。
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引用次数: 9
On the Variability of the Sound Transmission Loss of Composite Panels Through a Parametric Probabilistic Approach 基于参数概率方法的复合材料板传声损失变异性研究
Q1 Mathematics Pub Date : 2016-03-22 DOI: 10.1142/S0218396X15500186
M. A. B. Souf, M. A. B. Souf, D. Chronopoulos, M. Ichchou, O. Bareille, M. Haddar
A robust model for the prediction of the variability of the vibro-acoustic response is presented in this paper. The dynamic response of composite panels is treated using a Statistical Energy Analysis (SEA) approach. One of the basic input parameters is the propagating flexural wavenumber of the modeled panel. The Wave Finite Element Method (WFEM) is used to investigate the dispersion characteristics of the layered panel. It is based on the evaluation of the mass and the stiffness matrices of a periodic segment of the structure. A polynomial eigenvalue problem is then formed for calculating the wavenumbers and the wave mode shapes. The main novelty in this paper consists in evaluating the influence of the variability of the mechanical parameters of the composite panel on its vibro-acoustic response, that is on its sound transmission loss (STL). This influence is quantified using the generalized polynomial chaos expansion. The efficiency of the approach is exhibited for isotropic and orthotropic panels.
本文提出了一种预测振动声响应变异性的鲁棒模型。采用统计能量分析方法对复合材料板的动力响应进行了分析。其中一个基本输入参数是模型面板的传播弯曲波数。采用波动有限元法研究了层状板的色散特性。它是基于结构周期段的质量和刚度矩阵的评估。然后形成了计算波数和波模态振型的多项式特征值问题。本文的主要新颖之处在于评估复合材料板力学参数的变化对其振声响应的影响,即对其声透射损失的影响。利用广义多项式混沌展开对这种影响进行了量化。对于各向同性和正交各向异性面板,该方法的有效性得到了证明。
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引用次数: 10
The Burton and Miller method: Unlocking another mystery of its coupling parameter 伯顿和米勒方法:解开其耦合参数的另一个谜团
Q1 Mathematics Pub Date : 2016-03-22 DOI: 10.1142/S0218396X15500162
S. Marburg
The phenomenon of irregular frequencies or spurious modes when solving the Kirchhoff–Helmholtz integral equation has been extensively studied over the last six or seven decades. A class of common methods to overcome this phenomenon uses the linear combination of the Kirchhoff–Helmholtz integral equation and its normal derivative. When solving the Neumann problem, this method is usually referred to as the Burton and Miller method. This method uses a coupling parameter which, theoretically, should be complex with nonvanishing imaginary part. In practice, it is usually chosen proportional or even equal to i/k. A literature review of papers about the Burton and Miller method and its implementations revealed that, in some cases, it is better to use -i/k as coupling parameter. The better choice depends on the specific formulation, in particular, on the harmonic time dependence and on the fundamental solution or Green's function, respectively. Surprisingly, an unexpectedly large number of studies is based on the wrong choice of the sign in the coupling parameter. Herein, it is described which sign of the coupling parameter should be used for different configurations. Furthermore, it will be shown that the wrong sign does not just make the solution process inefficient but can lead to completely wrong results in some cases.
在过去的六七十年里,人们对求解Kirchhoff-Helmholtz积分方程时出现的不规则频率或伪模态现象进行了广泛的研究。克服这种现象的一类常用方法是利用Kirchhoff-Helmholtz积分方程及其法向导数的线性组合。在求解Neumann问题时,这种方法通常被称为Burton和Miller方法。该方法使用了一个耦合参数,从理论上讲,该参数应该是复数且虚部不消失。在实践中,通常选择成比例或甚至等于i/k。关于Burton和Miller方法及其实现的文献综述表明,在某些情况下,使用-i/k作为耦合参数更好。更好的选择取决于具体的公式,特别是谐波时间依赖性和基本解或格林函数。令人惊讶的是,大量的研究都是基于耦合参数中符号的错误选择。在这里,描述了耦合参数的哪个符号应该用于不同的配置。此外,错误的符号不仅会使求解过程效率低下,而且在某些情况下还会导致完全错误的结果。
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引用次数: 76
Analysis of Acoustic-Structure Interaction Using a High-Order Doubly Asymptotic Approximation 用高阶双渐近逼近分析声-结构相互作用
Q1 Mathematics Pub Date : 2016-03-22 DOI: 10.1142/S0218396X15500216
H. Woo, Y. Shin
In this paper, a new third-order approximation model for an acoustic-structure interaction problem is introduced. The new approximation model is designed to be an accurate and a stable model for predicting the response of a submerged structure. The proposed model is obtained by combining two lower order approximation models instead of using an operator matching method. The stability of this model is checked by a modal analysis. Finally, the approximation model is coupled to the spherical shell structure, and its performance is checked by a shock analysis.
本文提出了一种新的声-结构相互作用的三阶近似模型。该近似模型是一个准确、稳定的水下结构响应预测模型。该模型是通过结合两个低阶近似模型而不是使用算子匹配方法得到的。通过模态分析验证了该模型的稳定性。最后,将该近似模型与球壳结构进行了耦合,并通过冲击分析对其性能进行了验证。
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引用次数: 1
Time-harmonic Analytic Solution for an Acoustic Plane Wave Scattering off an Isotropic Poroelastic Cylinder: Convergence and Form Function 声平面波在各向同性孔弹性圆柱体上散射的时谐解析解:收敛性和形式函数
Q1 Mathematics Pub Date : 2016-03-22 DOI: 10.1142/S0218396X15500174
M. Y. Ou, G. Lemoine
The scattering of a plane wave incident obliquely upon an infinite poroelastic cylinder immersed in inviscid fluid is investigated in this paper. Convergence analysis of the series expansion of the solutions for various interface conditions is conducted and it provides a priori estimates on number of terms necessary for achieving a desired accuracy. In contrast to the existing results in the literature, we consider viscous pore fluid and arbitrary interface discharge efficiency ηd. Moreover, the approach presented here does not require any restriction on the viscodynamic operator of the poroelastic equations and hence it can handle general cases beyond the dissipation models proposed by Biot and by Johnson, Koplik and Dashen. The back scattering form function is then calculated from the coefficients of the series solution. Numerical results with various incident angles and interface discharge efficiencies are also presented in this paper.
研究了浸入无粘流体的无限孔弹性圆柱上斜入射的平面波的散射问题。对各种界面条件下解的级数展开进行了收敛性分析,并对达到期望精度所需的项数进行了先验估计。与已有的文献结果不同,我们考虑了粘性孔隙流体和任意界面放电效率ηd。此外,本文提出的方法不需要对孔弹性方程的粘动力算符进行任何限制,因此它可以处理Biot和Johnson, Koplik和Dashen提出的耗散模型之外的一般情况。然后根据级数解的系数计算后向散射形式函数。文中还给出了不同入射角和界面放电效率下的数值结果。
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引用次数: 0
Computing Acoustic Transmission Loss Using 3D Gaussian Ray Bundles in Geodetic Coordinates 在大地坐标系下用三维高斯射线束计算声传输损失
Q1 Mathematics Pub Date : 2016-03-22 DOI: 10.1142/S0218396X16500077
Sean Reilly, G. Potty, Michael Goodrich
This paper defines a new three-dimensional (3D) Gaussian ray bundling model in geodetic coordinates: latitude, longitude, and altitude. Derivations are provided for 3D refraction, 3D interface reflection, 3D eigenray detection, and a 3D variant of the Comprehensive Acoustic System Simulation (CASS)/Gaussian Ray Bundling (GRAB) model. This approach allows environmental parameters and their derivatives are computed directly in latitude, longitude, and depth directions without reducing the problem to a series of N ×2D Cartesian projections. Our model supports 3D effects such as great circle routes and horizontal refraction in sloped environments. Key test results are included for ray path refraction accuracy using a Munk profile, Gaussian beam projection into the shadow zone for an n2 linear profile, and horizontal refraction from a 3D analytic wedge. Testing to date indicates that this approach has accuracy at least as good as CASS/GRAB, but with improved execution speed benefits for large numbers of target...
本文定义了一种新的三维(3D)高斯射线束模型在大地坐标系:纬度,经度和高度。提供了三维折射、三维界面反射、三维特征射线检测和综合声学系统模拟(CASS)/高斯射线束(GRAB)模型的三维变体的推导。这种方法允许在纬度、经度和深度方向上直接计算环境参数及其导数,而不会将问题简化为一系列N ×2D笛卡尔投影。我们的模型支持3D效果,如大圆路线和水平折射在倾斜的环境。主要测试结果包括使用Munk剖面的射线路径折射精度,n2线性剖面的高斯光束投影到阴影区,以及3D解析楔的水平折射。迄今为止的测试表明,这种方法的准确性至少与CASS/GRAB一样好,但在大量目标的执行速度上有所提高。
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引用次数: 5
Influence of Skull Anisotropic Mechanical Properties in Low-Intensity Focused Ultrasound 低强度聚焦超声对颅骨各向异性力学性能的影响
Q1 Mathematics Pub Date : 2016-03-22 DOI: 10.1142/S0218396X1650003X
M. Metwally, Hee-Sok Han, H. J. Jeon, S. B. Nam, S. Han, Tae-Seong Kim
Low-intensity focused ultrasound (LIFU) is a new noninvasive brain stimulation technique where ultrasound is applied with low frequency and intensity to focus at a target region within the brain in order to exhibit or inhibit neuronal activity. In applying LIFU to the human brain, the skull is the main barrier due to its well-known high anisotropic mechanical properties which will affect the ultrasound focusing thereby affecting the neuromodulation or brain stimulation. This study aims at investigating the influence of the anisotropic mechanical properties of the skull on ultrasound propagation and focusing in LIFU. In this study, we used 2D finite element (FE) head models incorporating the isotropic and anisotropic properties of the skull. Three kinds of stresses were examined and shown within the skull: namely the normal stress in the direction of wave propagation (x-stress), normal stress in the transverse direction to the wave propagation (y-stress), and shear stress. Our analysis show that although most of the pressure that reaches to the brain is due to the longitudinal wave propagation through the skull, the stress in the transverse direction to the wave propagation direction (y-stress) has the main influence on the pressure profile inside the brain. The results also show that the anisotropic properties of the skull broaden the focal size about 19% and 13% in the longitudinal and transverse directions, respectively more than the case of considering the isotropic properties in the realistic 2D FE head model. The results indicate the importance of considering the anisotropic properties of the skull in practicing LIFU to achieve accurate targeting within the brain.
低强度聚焦超声(low -intensity focused ultrasound, LIFU)是一种新型的无创脑刺激技术,它将低频率和低强度的超声聚焦在脑内的目标区域,以显示或抑制神经元的活动。在将LIFU应用于人脑时,由于其众所周知的高各向异性力学特性,颅骨是主要屏障,这将影响超声聚焦从而影响神经调节或脑刺激。本研究旨在探讨颅骨各向异性力学特性对超声在LIFU中传播和聚焦的影响。在这项研究中,我们使用了二维有限元(FE)头部模型,结合了颅骨的各向同性和各向异性特性。颅骨内检测并显示了三种应力:即沿波传播方向的正应力(x应力),沿波传播方向的正应力(y应力)和剪应力。我们的分析表明,虽然到达大脑的大部分压力是由于通过颅骨的纵波传播,但在波传播方向的横向应力(y应力)对大脑内部的压力分布有主要影响。结果还表明,颅骨的各向异性在纵向和横向上分别比现实二维有限元颅骨模型中考虑各向同性的情况扩大了19%和13%的焦尺寸。结果表明,考虑颅骨的各向异性在LIFU练习中实现脑内精确瞄准的重要性。
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引用次数: 1
Direction of Arrival Estimation Under Near-Field Interference Using Matrix Filter 近场干扰下基于矩阵滤波的到达方向估计
Q1 Mathematics Pub Date : 2015-12-01 DOI: 10.1142/S0218396X1540007X
Guolong Liang, Wenbin Zhao, Zhan Fan
Direction of arrival (DOA) estimation is of great interest due to its wide applications in sonar, radar and many other areas. However, the near-field interference is always presented in the received data, which may result in degradation of DOA estimation. An approach which can suppress the near-field interference and preserve the far-field signal desired by using a spatial matrix filter is proposed in this paper and some typical DOA estimation algorithms are adjusted to match the filtered data. Simulation results show that the approach can improve capability of DOA estimation under near-field inference efficiently.
到达方向估计在声纳、雷达等领域有着广泛的应用,引起了人们的广泛关注。然而,接收到的数据总是存在近场干扰,这可能会导致DOA估计的下降。本文提出了一种利用空间矩阵滤波器抑制近场干扰并保留远场信号的方法,并对一些典型的DOA估计算法进行了调整,使其与滤波后的数据相匹配。仿真结果表明,该方法能有效提高近场推理下的DOA估计能力。
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引用次数: 7
Comparison of Constant and Discontinuous Quadratic Boundary Elements for Exterior Axisymmetric Acoustic-Wave Propagation Problems 外轴对称声波传播问题的常、不连续二次边界元比较
Q1 Mathematics Pub Date : 2015-12-01 DOI: 10.1142/S0218396X15400032
S. Ramesh, K. Lim, B. Khoo
The present study involves numerical assessment of two types of boundary elements, namely constant and discontinuous quadratic elements based on a hypersingular Burton and Miller boundary integral formulation to tackle spurious frequencies manifesting in exterior problems. Convergence trends of the two types of boundary element with/without the inclusion of hypersingular formulation were studied for various combinations of boundary conditions and over a wide range of frequencies. The results indicate that discontinuous quadratic elements and constant elements give comparable results, with the quadratic elements being computationally more efficient as they take lesser computational time. Nevertheless, the constant element formulation is easier to implement, and it may be used for solving exterior wave propagation problems.
本文研究了基于超奇异Burton和Miller边界积分公式的两种类型的边界元,即常数和不连续二次元的数值评估,以解决外部问题中出现的杂散频率。研究了两类边界元在不同边界条件组合和较宽频率范围内的收敛趋势。结果表明,不连续二次元和常数元的计算结果相当,二次元的计算效率更高,计算时间更短。然而,常数元公式更容易实现,它可以用于解决外部波传播问题。
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引用次数: 7
Improving Porosity–Velocity Relationships Using Carbonate Pore Types 利用碳酸盐孔隙类型改善孔隙-速度关系
Q1 Mathematics Pub Date : 2015-12-01 DOI: 10.1142/S0218396X15400068
Tingting Zhang, Yuefeng Sun, Qifeng Dou, Hanrong Zhang, T. Guo, Xiyuan Cai
Acoustic impedance in carbonates is influenced by factors such as porosity, pore structure/fracture, fluid content, and lithology. Occurrence of moldic and vuggy pores, fractures and other pore structures due to diagenesis in carbonate rocks can greatly complicate the relationships between impedance and porosity. Using a frame flexibility factor (γ) derived from a poroelastic model to characterize pore structure in reservoir rocks, we find that its product with porosity can result in a much better correlation with sonic velocity (Vp = A − B ∗ ϕ ∗ γ) and acoustic impedance (AI = C − D ∗ ϕ ∗ γ), where A, B, C and D is 6.60, 0.03, 18.3 and 0.09, respectively for the deep low-porosity carbonate reservoir studied in this paper. These new relationships can also be useful in improving seismic inversion of ultra-deep hydrocarbon reservoirs in other similar environments.
碳酸盐岩的声阻抗受孔隙度、孔隙结构/裂缝、流体含量和岩性等因素的影响。碳酸盐岩中由于成岩作用而形成的模状和孔洞型孔隙、裂缝等孔隙结构,使阻抗与孔隙度的关系变得十分复杂。利用基于孔隙弹性模型的框架弹性因子(γ)表征储层孔隙结构,我们发现其与孔隙度的积与声速(Vp = a−B∗φ γ)和声阻抗(AI = C−D∗φ γ)的相关性更好,其中a、B、C和D分别为6.60、0.03、18.3和0.09,本文研究的深层低孔隙度碳酸盐岩储层。这些新的关系也可以用于改善其他类似环境下超深层油气储层的地震反演。
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引用次数: 4
期刊
Journal of Computational Acoustics
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