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Diffusion Equation-Based Finite Element Modeling of a Monumental Worship Space 基于扩散方程的纪念性礼拜空间有限元建模
Q1 Mathematics Pub Date : 2017-11-21 DOI: 10.1142/S0218396X17500291
Zühre Sü Gül, N. Xiang, M. Çaliskan
In this work, a diffusion equation model (DEM) is applied to a room acoustics case for in-depth sound field analysis. Background of the theory, the governing and boundary equations specifically applicable to this study are presented. A three-dimensional geometric model of a monumental worship space is composed. The DEM is solved over this model in a finite element framework to obtain sound energy densities. The sound field within the monument is numerically assessed; spatial sound energy distributions and flow vector analysis are conducted through the time-dependent DEM solutions.
在这项工作中,扩散方程模型(DEM)被应用于一个房间声学案例,用于深入的声场分析。介绍了该理论的背景、适用于本研究的控制方程和边界方程。构成了一个纪念性礼拜空间的三维几何模型。在有限元框架中对该模型求解DEM,以获得声能量密度。对纪念碑内的声场进行了数值评估;通过含时DEM解进行了空间声能分布和流矢量分析。
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引用次数: 8
Acoustic Imaging with Compressed Sensing and Microphone Arrays 声学成像与压缩传感和麦克风阵列
Q1 Mathematics Pub Date : 2017-11-21 DOI: 10.1142/S0218396X17500278
Fangli Ning, Yong Liu, Chao Zhang, Jingang Wei, Xudong Shi, Juan Wei
This work studies the acoustic imaging problem with compressed sensing (CS) and microphone arrays. The CS algorithm with Basis Pursuit (BP) algorithm has shown satisfying results in acoustic imaging, the maps of which are characterized by super-resolution. However, the performance of the CS algorithm with the BP algorithm is limited to Restricted Isometry Property (RIP), and the algorithm has a long CPU-time. We propose a new CS algorithm with Orthogonal Matching Pursuit (OMP) algorithm for acoustic imaging. The performance of the OMP algorithm with regard to RIP is examined through numerical simulation in this work. The simulation results and CPU-time for OMP algorithm are compared with those of the BP algorithm and the conventional beamformer (CBF). When the RIP does not hold, satisfying results can still be obtained by the OMP algorithm, and the CPU-time for OMP algorithm is far less than BP algorithm. In order to validate the feasibility of the OMP algorithm in acoustic imaging, an experiment is also ...
这项工作研究了压缩传感(CS)和麦克风阵列的声学成像问题。CS算法和BP算法在声学成像中取得了令人满意的结果,其映射具有超分辨率的特点。然而,CS算法和BP算法的性能仅限于限制等距性质(RIP),并且该算法的CPU时间较长。我们提出了一种新的CS算法和正交匹配寻踪(OMP)算法,用于声学成像。本文通过数值模拟检验了OMP算法在RIP方面的性能。将OMP算法的仿真结果和CPU时间与BP算法和传统波束形成器(CBF)的仿真结果进行了比较。当RIP不成立时,OMP算法仍然可以获得令人满意的结果,并且OMP算法的CPU时间远小于BP算法。为了验证OMP算法在声学成像中的可行性,还进行了实验。。。
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引用次数: 3
A numerical model of an acoustic metamaterial using the boundary element method including viscous and thermal losses 用边界元法建立了包含粘滞和热损失的声学超材料的数值模型
Q1 Mathematics Pub Date : 2017-11-21 DOI: 10.1142/S0218396X17500060
P. Juhl, V. Henríquez, P. R. Andersen, J. S. Jensen, J. Sánchez-Dehesa
In recent years, boundary element method (BEM) and finite element method (FEM) implementations of acoustics in fluids with viscous and thermal losses have been developed. They are based on the linearized Navier–Stokes equations with no flow. In this paper, such models with acoustic losses are applied to an acoustic metamaterial. Metamaterials are structures formed by smaller, usually periodic, units showing remarkable physical properties when observed as a whole. Acoustic losses are relevant in metamaterials in the millimeter scale. In addition, their geometry is intricate and challenging for numerical implementation. The results are compared with existing measurements.
近年来,发展了在具有粘性和热损失的流体中实现声学的边界元法和有限元法。它们基于无流动的线性化Navier-Stokes方程。在本文中,这种具有声学损耗的模型被应用于声学超材料。超材料是由较小的、通常是周期性的单元形成的结构,当整体观察时,这些单元表现出显著的物理特性。声学损耗与毫米级超材料有关。此外,它们的几何形状对于数值实现来说是复杂和具有挑战性的。将结果与现有测量结果进行比较。
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引用次数: 26
Infinite Elements and Their Influence on Normal and Radiation Modes in Exterior Acoustics 外部声学中无限元及其对正态模态和辐射模态的影响
Q1 Mathematics Pub Date : 2017-11-21 DOI: 10.1142/S0218396X1650020X
Lennart Moheit, S. Marburg
Acoustic radiation modes (ARMs) and normal modes (NMs) are calculated at the surface of a fluid-filled domain around a solid structure and inside the domain, respectively. In order to compute the e...
分别计算了固体结构周围充液区域表面和区域内部的声辐射模态(ARMs)和法向模态(NMs)。为了计算e…
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引用次数: 19
Acoustical Green’s Function and Boundary Element Techniques for 3D Half-Space Problems 三维半空间问题的声学格林函数和边界元技术
Q1 Mathematics Pub Date : 2017-11-21 DOI: 10.1142/S0218396X17300018
R. Piscoya, M. Ochmann
This paper presents a review of basic concepts of the boundary element method (BEM) for solving 3D half-space problems in a homogeneous medium and in frequency domain. The usual BEM for exterior problems can be extended easily for half-space problems only if the infinite plane is either rigid or soft, since the necessary tailored Green’s function is available. The difficulties arise when the infinite plane has finite impedance. Numerous expressions for the Green’s function have been found which need to be computed numerically. The practical implementation of some of these formulas shows that their application depends on the type of impedance of the plane. In this work, several formulas in frequency domain are discussed. Some of them have been implemented in a BEM formulation and results of their application in specific numerical examples are summarized. As a complement, two formulas of the Green’s function in time domain are presented. These formulas have been computed numerically and after the applicatio...
本文综述了在均匀介质和频域中求解三维半空间问题的边界元法的基本概念。只有当无限平面是刚性的或柔性的时,外部问题的通常边界元法才能很容易地扩展到半空间问题,因为必要的定制格林函数是可用的。当无限平面具有有限阻抗时,就会出现困难。已经发现了许多格林函数的表达式,这些表达式需要进行数值计算。其中一些公式的实际实现表明,它们的应用取决于平面的阻抗类型。本文讨论了频域中的几个公式。其中一些已经在边界元公式中实现,并总结了它们在具体数值例子中的应用结果。作为补充,给出了格林函数在时域中的两个公式。对这些公式进行了数值计算,并进行了应用。。。
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引用次数: 3
Nonlinear Distortion Characteristic Analysis for the Finite Amplitude Sound Pressures in the Pistonphone 活塞筒有限幅声压非线性畸变特性分析
Q1 Mathematics Pub Date : 2017-11-21 DOI: 10.1142/S0218396X1850008X
Fan Zhang, Wen He, Zhong Junjie
The wide concern on absolute calibration of microphones at high pressure levels prompts the development of the pistonphone technique. However, as the sound pressure level goes higher, the linear hypothesis, which is applicable for the small amplitude sound wave, will no longer be valid. The nonlinear characteristics of the finite amplitude sound wave will produce high order harmonic components and also some other complex frequency components, which eventually result in the distortion of the sound pressure in the pistonphone, and should be quantitatively calculated to assess the accuracy of absolute sound pressure calibration of microphones at high sound pressure levels using pistonphones. In this paper, the linearized wave equations were built based on the perturbation method and the Euler system. Then, the distributed parameter expressions for the finite amplitude sound pressure both neglecting and considering the intermodulation characteristic have been explicitly derived. Nonlinear distortion character...
高压水平下传声器的绝对校准受到广泛关注,促使活塞式传声器技术得到发展。但是,随着声压级的增大,适用于小振幅声波的线性假设将不再成立。有限振幅声波的非线性特性会产生高次谐波分量和其他一些复频率分量,最终导致活塞式传声器内声压的畸变,需要对其进行定量计算,以评估活塞式传声器在高声压级下的绝对声压校准精度。本文基于微扰法和欧拉系统建立了线性化的波动方程。在此基础上,明确推导了忽略和考虑互调特性的有限幅声压分布参数表达式。非线性失真特性…
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引用次数: 1
A Fourier Collocation Approach for Transit-Time Ultrasonic Flowmeter Under Multi-Phase Flow Conditions 多相流条件下渡越时间超声流量计的傅立叶配置方法
Q1 Mathematics Pub Date : 2017-11-21 DOI: 10.1142/S0218396X17500059
M. Simurda, B. Lassen, L. Duggen, N. Basse
A numerical model for a clamp-on transit-time ultrasonic flowmeter (TTUF) under multi-phase flow conditions is presented. The method solves equations of linear elasticity for isotropic heterogeneous materials with background flow where acoustic media are modeled by setting shear modulus to zero. Spatial derivatives are calculated by a Fourier collocation method allowing the use of the fast Fourier transform (FFT) and time derivatives are approximated by a finite difference (FD) scheme. This approach is sometimes referred to as a pseudospectral time-domain method. Perfectly matched layers (PML) are used to avoid wave-wrapping and staggered grids are implemented to improve stability and efficiency. The method is verified against exact analytical solutions and the effect of the time-staggering and associated lowest number of points per minimum wavelengths value is discussed. The method is then employed to model a complete TTUF measurement setup to simulate the effect of a flow profile on the flowmeter accuracy and a study of an impact of inclusions in flowing media on received signals is carried out.
建立了多相流动条件下夹持式渡越时间超声流量计(TTUF)的数值模型。该方法求解了具有背景流的各向同性非均质材料的线弹性方程,其中通过将剪切模量设置为零来建模声介质。通过允许使用快速傅立叶变换(FFT)的傅立叶配置方法来计算空间导数,并且通过有限差分(FD)方案来近似时间导数。这种方法有时被称为伪谱时域方法。采用完全匹配层(PML)来避免波浪包裹,并采用交错网格来提高稳定性和效率。该方法通过精确的解析解进行了验证,并讨论了时间交错和每个最小波长值相关的最低点数的影响。然后采用该方法对完整的TTUF测量装置进行建模,以模拟流量剖面对流量计精度的影响,并研究流动介质中的夹杂物对接收信号的影响。
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引用次数: 6
An Interval Reduced Basis Approach and its Integrated Framework for Acoustic Response Analysis of Coupled Structural-Acoustic System 结构-声耦合系统声响应分析的区间降基法及其集成框架
Q1 Mathematics Pub Date : 2017-09-12 DOI: 10.1142/S0218396X17500096
Lv Zheng, Qiu Zhiping, Li Qi
An interval reduced basis approach (IRBA) is presented for analyzing acoustic response of coupled structural-acoustic system with interval parameters. Simultaneously an integrated framework based on IRBA is established to deal with uncertain acoustic propagation using deterministic finite element (FE) software. The present IRBA aims to improve the accuracy of the conventional first-order approximation and also allow the efficient calculation of second-order approximation of acoustic response. In IRBA, acoustic response is approximated using a linear combination of interval basis vectors with undetermined coefficients. To get explicit expression of acoustic response in terms of interval parameters, the three terms of the second-order perturbation method are employed as basis vectors, and the variant of the Galerkin scheme is applied for derivation of the reduced-order system of equations. For the second-order approximation, the determination of acoustic response interval is reformulated into a series of quadratic programming problems, which are solved using the difference of convex functions (DC) algorithm effectively. The performance of IRBA and availability of the present framework are validated by numerical examples.
提出了一种区间降基法(IRBA)来分析具有区间参数的结构-声耦合系统的声响应。同时,利用确定性有限元软件建立了一种基于IRBA的集成框架来处理不确定声传播。本IRBA旨在提高常规一阶近似的精度,并允许有效地计算声响应的二阶近似。在IRBA中,声学响应是使用带待定系数的区间基向量的线性组合来近似的。为了得到区间参数下声响应的显式表达式,采用二阶摄动法的三项作为基向量,并采用伽辽金格式的变体对降阶方程组进行推导。对于二阶近似,将声响应区间的确定转化为一系列二次规划问题,利用凸函数差分(DC)算法进行有效求解。通过算例验证了IRBA的性能和框架的有效性。
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引用次数: 6
Sensitivity to High Frequency Communication Sounds in the Inner Ear Enhanced by Selective Attention: Preliminary Findings in Mongolian Gerbils 选择性注意增强内耳对高频交流声音的敏感性:蒙古沙鼠的初步发现
Q1 Mathematics Pub Date : 2017-09-12 DOI: 10.1142/S0218396X17500163
Ayako Nakayama, H. Riquimaroux
Audible range for Mongolian gerbils overlaps well with one for humans. This is one of the reasons why they have been used for auditory studies. So, most of studies on gerbils have been in human audible frequency range. They live in a group and use a variety of vocalizations for their conspecific communication. Roughly 80% of the fundamental frequencies of their communication calls are found in the frequency range above 20kHz. However, thresholds for frequencies above 20kHz have been reported higher than those for low frequencies (from 1kHz to 16kHz) by as much as 20dB. We examined how gerbils utilize ultrasonic frequency range for their important vocal communication. Findings from alert animals with paired condition showed the cochlear microphonics (CM) were amplified by 2–4dB with ultrasonic communication calls of low sound pressure levels (from 45dB to 60dB p.e. SPL), while no enhancement was observed with the same calls higher than 65dB p.e. SPL. Findings also suggested that CM responses to tone burst higher than 25kHz demonstrated magnified amplitude under the paired condition. Data strongly imply that attention to conspecifics would increase sensitivity to ultrasonic frequency range.
蒙古沙鼠的听觉范围与人类的听觉范围重叠得很好。这就是为什么它们被用于听觉研究的原因之一。所以,大多数关于沙鼠的研究都在人类可听到的频率范围内。它们生活在一个群体中,使用各种各样的发声来进行同地域的交流。它们的通信呼叫中大约80%的基本频率在20kHz以上的频率范围内。然而,据报道,频率高于20kHz的阈值比低频(从1kHz到16kHz)的阈值高多达20dB。我们研究了沙鼠如何利用超声波频率范围进行重要的声音交流。结果表明,低声压级(45dB ~ 60dB p.e. SPL)的超声通信叫声可使耳蜗微音(CM)放大2 ~ 4db,高于65dB p.e. SPL的超声通信叫声无增强作用。结果还表明,在配对条件下,CM对高于25kHz的音调突发的响应幅度放大。数据有力地表明,注意同种异体会增加对超声波频率范围的敏感性。
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引用次数: 1
Bayesian Inversion for Geoacoustic Parameters from Ocean Bottom Reflection Loss 海底反射损失地声参数的贝叶斯反演
Q1 Mathematics Pub Date : 2017-09-12 DOI: 10.1142/S0218396X17500199
Kunde Yang, Peng Xiao, Rui Duan, Yuanliang Ma
Geoacoustic inversion is a very important issue in underwater acoustics, and the inversion method based on bottom reflection loss is a valid technique to invert bottom parameters. This paper describes a Bayesian method for estimating bottom parameters in the deep ocean based on inversion of reflection loss versus angle data which were obtained from an experiment conducted in South China Sea in 2013. The experimental data show that bottom loss depends on frequency. The Bayesian method can be applied in nonlinear inversion problems, and it provides useful indication about the quality of the inversion and parameter sensitivities. The bottom is modeled as a two-layer model, and each layer has constant parameters. The inverted parameters of sediment show a clay feature which is consistent with the core data. Furthermore, the inversion results are used to calculate transmission losses (TLs) along the experiment track which agree well with the direct measurements. Although the inversion results are limited to reveal exact structures of bottom, they are still useful for forecasting propagation losses in this area.
地声反演是水下声学中一个非常重要的问题,基于海底反射损失的反演方法是反演海底参数的一种有效方法。本文介绍了一种基于2013年南海实验反射损失与角度反演数据的深海海底参数Bayesian估计方法。实验数据表明,底损与频率有关。贝叶斯方法可以应用于非线性反演问题,它提供了反演质量和参数灵敏度的有用指示。底部建模为两层模型,每层具有恒定参数。沉积物反演参数显示出与岩心数据一致的粘土特征。利用反演结果计算了沿实验轨迹的传输损耗,结果与直接测量结果吻合较好。虽然反演结果仅限于揭示底部的确切结构,但对于预测该区域的传播损失仍然是有用的。
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引用次数: 15
期刊
Journal of Computational Acoustics
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