Journal of Sound and Vibration最新文献

Phenomenological friction modulation and near-field acoustic signatures in a slender post-buckled beam with rolling–stick–slip contact 具有滚动-粘-滑接触的细长后屈曲梁的现象摩擦调制和近场声学特征

IF 4.9 2区工程技术 Q1 ACOUSTICS

Journal of Sound and Vibration

Pub Date : 2026-01-14 DOI: 10.1016/j.jsv.2026.119661

Paweł Olejnik, Yared D. Desta

This work investigates the tribo-structural dynamics of a slender post-buckled beam interacting with a translating surface through rolling, sticking and slipping at a line contact. Extreme slenderness, strong geometric nonlinearity and compliant boundary conditions create a highly sensitive frictional environment in which small variations in contact kinematics generate measurable near-field acoustic emission. A dedicated experimental setup was developed to synchronously record beam motion, roller rotation, contact forces and near-field pressure signatures.

A nonlinear mechanical model is formulated using Euler–Bernoulli kinematics with von Kármán strain, Hertzian normal contact and a smooth velocity-dependent friction law reproducing rolling and stick–slip transitions. Motivated by experimental observations that near-field acoustic activity correlates with cycle-to-cycle slip variability, a compact phenomenological modulation acting solely on the kinetic friction coefficient is introduced. The measured near-field signal is treated as a bounded, non-energetic observable and used as a diagnostic descriptor of unresolved microscale contact fluctuations, without implying physical acoustic feedback.

Coupled structural–acoustic finite-element simulations reproduce changes in stick–slip periodicity, effective damping and the tonal components of the measured acoustic response. The resulting framework provides an energetically admissible diagnostic perspective on tribo-acoustic behaviour in slender post-buckled structures with rolling contact and addresses an under-explored relationship between near-field sound and frictional sliding variability.

这项工作研究了一个细长的后屈曲梁通过滚动、粘着和滑动与平移表面相互作用的摩擦结构动力学。极端的长细度，强几何非线性和柔顺的边界条件创造了一个高度敏感的摩擦环境，其中接触运动学的微小变化产生可测量的近场声发射。开发了专用实验装置，用于同步记录梁运动、滚子旋转、接触力和近场压力特征。利用Euler-Bernoulli运动学模型，结合von Kármán应变、赫兹法向接触和与速度相关的光滑摩擦律，建立了一个非线性力学模型，再现了滚动和粘滑过渡。基于近场声活动与周期间滑移变化相关的实验观察，本文引入了一种仅作用于动摩擦系数的紧凑现象学调制。测量的近场信号被视为有界的、非能量的可观测信号，并被用作未解决的微尺度接触波动的诊断描述符，而不暗示物理声学反馈。耦合结构-声学有限元模拟再现了粘滑周期性、有效阻尼和测量声响应的音调分量的变化。由此产生的框架为具有滚动接触的细长后屈曲结构的摩擦声学行为提供了能量上可接受的诊断视角，并解决了近场声音与摩擦滑动变异性之间未被探索的关系。

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引用次数: 0

Corrigendum to “Vibration characteristics of integrally mistuned turbine blisks with hard-coating and bladed multi-packet shrouds” [Journal of Sound and Vibration, Volume 625, 17 March 2026, 119607] “带有硬涂层和叶片多包护罩的整体失谐涡轮叶片的振动特性”的勘误[声音与振动杂志，625卷，2026年3月17日，119607]

IF 4.9 2区工程技术 Q1 ACOUSTICS

Journal of Sound and Vibration

Pub Date : 2026-01-12 DOI: 10.1016/j.jsv.2026.119655

Wensai Ma , Bin Bai , Xiang Li , Xinye Li , Shichuan Wang , Gang Chen

引用次数: 0

Serration manufacturing effects on propeller trailing edge noise mechanisms 锯齿加工对螺旋桨尾缘噪声机理的影响

IF 4.9 2区工程技术 Q1 ACOUSTICS

Journal of Sound and Vibration

Pub Date : 2026-01-10 DOI: 10.1016/j.jsv.2026.119656

Jorge Santamaria , Sylvain Belliot , Marlène Sanjosé , Romain Gojon , Stéphane Moreau

Trailing edge noise is an important broadband noise source of hovering UAV rotors, which can be reduced by trailing edge serrations. Ayton’s theoretical model provides predictions for serrated trailing edge noise generated by a fully turbulent flow over an infinitesimally thin plane. This study assesses the validity of these assumptions by considering the effects of serration installation and manufacturing. Several propellers of the same design were 3D printed and tested in an anechoic room, where far-field noise and aerodynamic performances were collected. The baseline configuration exhibits clear evidence of laminar boundary-layer instability noise. Cut-in and add-on serrations alleviate this noise mechanism. Similarly, to overcome the influence of laminar to turbulent transition over the blade surface, some propellers also include additional tripping elements to trigger the turbulence. Cut-in serrations experience additional vortex-shedding noise characterized by a Strouhal number based on the serration root thickness. The results show that serrations are a viable method to control trailing edge noise at low RPM, where broadband noise dominates over tonal noise. Finally, the analytical predictions successfully capture the noise reduction trends for the add-on serrations. In particular, the model can capture their frequency range of effectiveness and the relative variation of the mitigation with rotational speed. There is better agreement between the model and the experiments for the design that includes tripping. This outcome highlights the importance of considering the manufacturing method during the design phase.

后缘噪声是悬停无人机旋翼中一个重要的宽带噪声源，可通过后缘锯齿减小后缘噪声。艾顿的理论模型提供了在无限小的薄平面上完全紊流产生的锯齿状尾缘噪声的预测。本研究通过考虑齿轮安装和制造的影响来评估这些假设的有效性。几个相同设计的螺旋桨进行了3D打印，并在消声室进行了测试，在那里收集了远场噪声和空气动力学性能。基线结构显示出层流边界层不稳定噪声的明显证据。插入式和附加式齿形可以减轻这种噪音机制。同样，为了克服叶片表面层流到湍流过渡的影响，一些螺旋桨还包括额外的脱扣元件来触发湍流。切割锯齿会经历额外的旋涡脱落噪声，其特征是基于锯齿根部厚度的斯特罗哈尔数。结果表明，在低转速下，宽带噪声比音调噪声占主导地位，锯齿是一种可行的控制后缘噪声的方法。最后，分析预测成功地捕获了附加服务的降噪趋势。特别是，该模型可以捕获它们的有效频率范围和减缓随转速的相对变化。对于包含跳闸的设计，模型与实验结果吻合较好。这一结果突出了在设计阶段考虑制造方法的重要性。

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引用次数: 0

Maximum response of SDOF systems under consecutive triangular pulses 连续三角脉冲作用下SDOF系统的最大响应

IF 4.9 2区工程技术 Q1 ACOUSTICS

Journal of Sound and Vibration

Pub Date : 2026-01-10 DOI: 10.1016/j.jsv.2025.119631

Ran Eckl, Hezi Y. Grisaro

This study investigates the dynamic response of linear-elastic and elastic-plastic Single Degree of Freedom (SDOF) systems subjected to two consecutive triangular pulse loads, a scenario relevant to blast-resistant design yet often neglected in conventional analysis. The concept of an amplification factor (AMF) is introduced to quantify the increase in maximum displacement relative to a single load. The response is analyzed across three classical regimes: impulsive, dynamic, and quasi-static, highlighting the dominant role of delay time between pulses in shaping the structural response. Closed-form expressions are derived for AMF in both impulsive and quasi-static limits, and analytical relationships are established between the amplification factor and the asymptotic bounds of Pressure-Impulse (P-I) diagrams. Parametric studies show that while the impulse and peak pressure ratios (η and κ) set the amplification bounds, the delay time (t_h) critically governs the maximum response. In the elastic-plastic case, three distinct regimes are identified based on the yielding state at the time of the second load, and closed-form expressions for the asymptotes are derived. The findings offer both fundamental insight and practical tools for constructing conservative failure envelopes without the need for extensive numerical simulations.

本文研究了线弹性和弹塑性单自由度（SDOF）系统在两个连续三角形脉冲载荷作用下的动态响应，这是一种与防爆设计相关但在传统分析中经常被忽视的情况。引入了放大因子（AMF）的概念来量化相对于单个负载的最大位移的增加。分析了三种经典状态下的响应：脉冲、动态和准静态，强调了脉冲间延迟时间在形成结构响应中的主导作用。导出了AMF在脉冲极限和准静态极限下的封闭表达式，建立了放大因子与压力-脉冲图渐近界之间的解析关系。参数研究表明，当脉冲和峰值压力比（η和κ）设定放大边界时，延迟时间（th）关键地控制最大响应。在弹塑性情况下，根据第二次加载时的屈服状态识别出三种不同的状态，并推导出渐近线的封闭表达式。这些发现为构建保守失效包络层提供了基本的见解和实用的工具，而无需进行大量的数值模拟。

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引用次数: 0

On the dynamics of viscoelastic cantilever beams under arbitrary base motion and eccentric damped tip mass via integral transform 基于积分变换的粘弹性悬臂梁在任意基座运动和偏心阻尼质量作用下的动力学研究

IF 4.9 2区工程技术 Q1 ACOUSTICS

Journal of Sound and Vibration

Pub Date : 2026-01-09 DOI: 10.1016/j.jsv.2026.119640

Gianfranco deM. Stieven , Carlos F.T. Matt , Liviu Nicu , Carolina P. Naveira-Cotta , Renato M. Cotta

A comprehensive hybrid analytical-numerical solution is presented for a viscoelastic cantilever Euler-Bernoulli beam with an eccentric damped tip mass, subjected to external excitation, viscous damping, and an arbitrary base motion that undergoes translation and small rotation. The solution is obtained using the Generalized Integral Transform Technique (GITT), based on the application of an implicit filter and an eigenfunction expansion supported by a biharmonic-type eigenvalue problem, yielding a fast and straightforward implementation. A numerically stabilized eigenproblem formulation is proposed, ensuring robust convergence and accurate eigenfunctions. This hybrid solution, presented in a state-space framework, is validated experimentally against damped and undamped natural frequencies, and verified numerically through time-varying free and forced transverse deflection. A physical analysis is presented through four studies: (i) parametric maps of the first two complex eigenvalues, highlighting the distinct modal roles of viscoelastic damping and viscous damping, tip mass magnitude, and eccentricity; (ii) the combined effect of tip-mass eccentricity and internal damping on free and forced vibration; (iii) the influence of tip-mass damping and viscoelastic damping on free and forced vibration; and (iv) a Frequency Response Function (FRF) evaluation considering viscoelastic damping and viscous damping. The resulting formulation delivers fast-convergent solutions, providing closed-form base actions and frequency-response characterizations. The accompanying time- and frequency-domain results, together with compact eigenvalue maps, supply benchmark-quality references that clarify damping and eccentricity effects and support design, identification, and model assessment in linear vibration.

提出了具有偏心阻尼尖端质量的粘弹性悬臂欧拉-伯努利梁的综合混合解析-数值解，该梁受外部激励、粘性阻尼和任意平移和小旋转基底运动的影响。基于隐式滤波器和双调和型特征值问题支持的特征函数展开式，利用广义积分变换技术（GITT）得到了该问题的解，实现速度快，操作简单。提出了一种数值稳定的特征问题公式，保证了鲁棒收敛性和特征函数的准确性。在状态空间框架中提出的混合解决方案在阻尼和无阻尼固有频率下进行了实验验证，并通过时变自由和强制横向挠度进行了数值验证。通过四项研究提出了物理分析：(i)前两个复特征值的参数映射，突出粘弹性阻尼和粘性阻尼，尖端质量大小和偏心的不同模态作用；（ii）端部质量偏心和内部阻尼对自由和受迫振动的综合影响；（iii）尖端质量阻尼和粘弹性阻尼对自由和强制振动的影响；（iv）考虑粘弹性阻尼和粘性阻尼的频响函数（FRF）评估。由此产生的配方提供了快速收敛的解决方案，提供了封闭形式的基动作和频率响应特性。随附的时域和频域结果，以及紧凑的特征值图，提供基准质量参考，澄清阻尼和偏心效应，并支持线性振动的设计，识别和模型评估。

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引用次数: 0

Tonal noise produced by a UAV propeller due to unsteady rotational motion 无人机螺旋桨非定常旋转运动产生的噪声

IF 4.9 2区工程技术 Q1 ACOUSTICS

Journal of Sound and Vibration

Pub Date : 2026-01-09 DOI: 10.1016/j.jsv.2026.119646

Huachen Zhu , Ryan Mckay , Michael Kingan , Xianghao Kong , Jin Xuan Teh , Yusuke Hioka , Gian Schmid

A number of recent studies have shown that unsteady rotational motion of small unmanned aerial vehicle propellers can produce tonal noise. In this paper, time- and frequency-domain methods for calculating this noise are presented and validated against one-another. The unsteady loading on the propeller blades, required for the predictions, is calculated using both blade element momentum theory and computational fluid dynamics simulations. The noise prediction methods are validated against measurements. The propeller unsteady motion during these experiments was measured using a rotary encoder and this measured rotational motion was used as input to the noise prediction methods. The results presented in this paper focus on a case where the electric motor drives the propeller in unsteady rotational motion where the unsteady motion is almost sinusoidal with a frequency equal to 14 times the shaft rotation frequency. Predictions show that this unsteady rotational motion produces high amplitude tones at the frequency of the dominant fluctuation speed and adjacent harmonics of the blade passing frequency — confirming the findings of a previous study. These predictions are shown to be in generally good agreement with measurements. In addition, the polar and azimuthal directivity of this tonal noise is investigated.

近年来的一些研究表明，小型无人机螺旋桨的非定常旋转运动可以产生音调噪声。本文提出了时域和频域计算噪声的方法，并对它们进行了对比验证。利用叶片单元动量理论和计算流体力学模拟计算了预测所需的螺旋桨叶片非定常载荷。通过实测验证了噪声预测方法的有效性。实验过程中螺旋桨的非定常运动采用旋转编码器测量，并将测量到的旋转运动作为噪声预测方法的输入。本文的研究结果集中在电机驱动螺旋桨进行非定常旋转运动的情况下，非定常运动几乎是正弦的，频率等于轴旋转频率的14倍。预测表明，这种非定常旋转运动在主导波动速度的频率和叶片通过频率的相邻谐波上产生高振幅音调，证实了先前研究的发现。这些预测大体上与测量结果一致。此外，还研究了该噪声的极向性和方位指向性。

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引用次数: 0

A reduced order modeling strategy for nonlinear elasto-dynamic systems with cyclic symmetry in rolling contact 滚动接触循环对称非线性弹性动力系统的降阶建模策略

IF 4.9 2区工程技术 Q1 ACOUSTICS

Journal of Sound and Vibration

Pub Date : 2026-01-08 DOI: 10.1016/j.jsv.2026.119645

Lukas Bürger , Régis Boukadia , Frank Naets

Rolling contact is frequently modeled for simulating engineering systems (e.g. tires or bearings). When accounting for geometric and material nonlinearity, model order reduction (MOR) becomes essential to reduce the computational costs of dynamic simulations. Addressing nonlinear systems with distributed nonlinearities in combination with large areas of rough surface contact and a dynamically changing active set presents a challenge for state-of-the-art MOR methods. Therefore, a tailored a-priori MOR approach to address large deformation rolling contact for cyclically symmetric systems is presented.

We propose a novel two-step, projection-based nonlinear MOR for rolling contact. In the first step, the reduction basis based on the Multi Expansion Modal method is transformed to a Generalized Component Mode Synthesis framework to achieve rotational invariance of the basis. To capture the nonlinear variations due to rotation and the resulting change of the active contact area, an interpolation approach is employed to adjust the basis accordingly. In the second step, the Energy Conserving Sampling and Weighting hyper reduction parameters are also adapted through interpolation.

The proposed method is validated for the case of a Grosch wheel rotating on a smooth surface and a tire rotating on a rough road. In both cases, the reduced-order model accurately replicates the full-order model’s dynamic behavior. While the speedup is limited in the Grosch wheel case, significant speedup is achieved for a nonlinear tire model with a maximum speedup factor of 20.

滚动接触经常用于模拟工程系统（如轮胎或轴承）。当考虑几何和材料非线性时，模型降阶（MOR）对于降低动态仿真的计算成本至关重要。求解具有大面积粗糙表面接触和动态变化的活动集的分布非线性非线性系统是目前最先进的MOR方法面临的挑战。因此，提出了一种针对循环对称系统大变形滚动接触的定制先验MOR方法。提出了一种新的基于投影的两步非线性滚动接触MOR算法。首先，将基于多展开式模态方法的约简基转化为广义模态综合框架，实现基的旋转不变性；为了捕捉由于旋转引起的非线性变化和由此引起的主动接触面积的变化，采用插值方法对基进行相应的调整。第二步，通过插值调整节能采样和加权超约化参数。针对格罗施车轮在光滑路面上的旋转和轮胎在粗糙路面上的旋转进行了验证。在这两种情况下，降阶模型都精确地复制了全阶模型的动态行为。而加速是有限的，在格罗施车轮情况下，显著加速实现了非线性轮胎模型的最大加速系数为20。

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引用次数: 0

Scaling Up 3D elastic metamaterials with ultrawide band gaps: A modular approach with weight compensation 具有超宽带隙的三维弹性超材料：具有重量补偿的模块化方法

IF 4.9 2区工程技术 Q1 ACOUSTICS

Journal of Sound and Vibration

Pub Date : 2026-01-07 DOI: 10.1016/j.jsv.2026.119641

Berkay Acar, Sedef Nisan Otlu, Zafer Gokay Tetik, Cetin Yilmaz

Size plays a crucial role in designing and realizing 3D phononic crystals and elastic metamaterials with ultrawide band gaps. Existing 3D designs with normalized bandwidth larger than 133.3% are typically fabricated from polymers by additive manufacturing in small sizes (lattice constant  ≤  50 mm). Achieving large bandwidths often requires thin ligaments (flexures), which can fail or deform significantly under self-weight when scaled up, affecting unit cell shape and normalized bandwidth. To mitigate stress and deformation problems at larger scales, a modular design is introduced, enabling separate production of high and low stress-bearing components for assembly. A 3D truss-like structure is formed using steel inertial amplification mechanisms as 600 mm truss elements. Optimization yields a wide stop band but results in thin flexures within these mechanisms. To minimize the stresses and deformations in the inertially amplified 3D truss structure, which weighs more than 100 kg, static weight compensation technique is proposed in which some of the flexures are prestressed to a targeted value before assembly. Consequently, very small static deflection is observed due to self-weight. The optimized 3D truss structure is manufactured and tested. It is revealed that the optimized design provides a complete ultrawide stop band for 3D excitations between 6.2 - 87.8 Hz. Despite the large size and weight, and the stress constraints, an ultrawide band gap (173.6%) is attained.

尺寸是设计和实现三维声子晶体和具有超宽带隙的弹性超材料的关键因素。现有的归一化带宽大于133.3%的3D设计通常是由小尺寸的聚合物通过增材制造制造的（晶格常数 ≤ 50 mm）。实现大带宽通常需要细韧带（屈曲），当按比例放大时，其在自重下可能会失效或变形，从而影响单元胞的形状和归一化带宽。为了减轻更大规模的应力和变形问题，引入了模块化设计，可以单独生产高应力和低应力轴承组件进行组装。采用钢惯性放大机构作为600 mm桁架单元，形成三维桁架结构。优化产生宽止动带，但导致这些机构内的薄挠曲。为了使重量超过100 kg的惯性放大三维桁架结构的应力和变形最小化，提出了静态重量补偿技术，在装配前将部分挠度预应力到目标值。因此，由于自重，观察到非常小的静态偏转。对优化后的三维桁架结构进行了制造和试验。结果表明，优化后的设计在6.2 ~ 87.8 Hz范围内提供了一个完整的超宽止动带。尽管尺寸和重量较大，并且受到应力限制，但仍获得了超宽的带隙（173.6%）。

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引用次数: 0

Enhancing acoustic scatterer inversion in closed domains with gradient-constrained deep learning 利用梯度约束深度学习增强封闭域声散射反演

IF 4.9 2区工程技术 Q1 ACOUSTICS

Journal of Sound and Vibration

Pub Date : 2026-01-06 DOI: 10.1016/j.jsv.2026.119644

Chunlin Jia , Zhanyu Li , Zixuan Yu , Hongkuan Zhang , Gengkai Hu

Accurately reconstructing scatterers within closed regions from sparse acoustic measurements presents a challenging inverse problem. Deep learning techniques are widely regarded as effective tools for solving such complex issues. However, conventional approaches often incur significant computational burdens by relying on massive training datasets to boost prediction accuracy. This paper presents an innovative approach that substantially improves network performance not by data augmentation, but by explicitly incorporating physical knowledge through adjoint-derived gradients. The method involves two synergistic stages: firstly, a physics-informed forward model is constructed by integrating gradient information via the adjoint method, which achieves 87 % higher accuracy in acoustic pressure prediction compared to standard data-driven counterparts on the test set; secondly, utilizing the trained forward network as a surrogate model to generate large-scale synthetic datasets for training a robust inverse estimation network. Results demonstrate superior performance: on independent test data, 99.94 % precision in determining scatterer count and high-precision reconstruction with localization resolution of 1/42 wavelength and radius resolution of 1/401 wavelength. Crucially, the method excels even in challenging acoustic shadow zones, surpassing traditional techniques. As the adjoint method is fundamental to sensitivity analysis across computational physics, this gradient-constrained framework can be readily extended to other inverse problems (including inverse electromagnetic scattering and elastic wave-based nondestructive testing) and gradient-based optimization applications like topology optimization, providing a pathway to enhanced accuracy with reduced data dependency.

从稀疏声测量中精确地重建封闭区域内的散射体是一个具有挑战性的逆问题。深度学习技术被广泛认为是解决此类复杂问题的有效工具。然而，传统的方法往往依赖于大量的训练数据集来提高预测精度，从而带来巨大的计算负担。本文提出了一种创新的方法，该方法不是通过数据增强，而是通过伴随衍生的梯度明确地结合物理知识，从而大大提高了网络性能。该方法包括两个协同阶段：首先，通过伴随方法集成梯度信息构建物理信息正演模型，与标准数据驱动的测试集相比，该模型的声压预测精度提高了87%；其次，利用训练好的正向网络作为代理模型，生成大规模的合成数据集，用于训练稳健的逆估计网络；结果表明：在独立测试数据上，散射体数量的确定精度为99.94%，定位分辨率为1/42波长，半径分辨率为1/401波长，高精度重建。至关重要的是，该方法甚至在具有挑战性的声学阴影区域中表现出色，超越了传统技术。由于伴随方法是计算物理灵敏度分析的基础，这种梯度约束框架可以很容易地扩展到其他逆问题（包括逆电磁散射和基于弹性波的无损检测）和基于梯度的优化应用，如拓扑优化，提供了一种通过减少数据依赖性来提高精度的途径。

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引用次数: 0

Direct impedance eduction of acoustic liners in multimodal ducts with shear flows 具有剪切流的多模态管道中声学衬垫的直接阻抗导出

IF 4.9 2区工程技术 Q1 ACOUSTICS

Journal of Sound and Vibration

Pub Date : 2026-01-05 DOI: 10.1016/j.jsv.2025.119635

Jinyue Yang , Thomas Humbert , Joachim Golliard , Gwénaël Gabard

Impedance eduction of acoustic liners with flow is usually performed under the assumption of a uniform mean flow and in the presence of an incident plane wave. However, recent studies have demonstrated that shear flow significantly influences the propagation of sound waves and their interaction with the liner. Consequently, it is crucial to characterize acoustic treatments in flow and acoustic conditions that closely resemble their target application, such as aircraft nacelles. This paper investigates and validates experimentally a direct method of impedance eduction in multimodal sound fields with shear flows on the MAINE Flow facility, which was validated only through simulations. Besides the double-liner configuration proposed to enhance the eduction robustness, additional developments are implemented, including a dominant mode selection algorithm to address the complexity introduced by multimodal fields and a 2-line microphone array design to avoid spurious mode effects. Different high-order incident modes (in the direction normal to the liner) are also considered. Finally, the recommended setup, with two types of liner samples, are used to investigate the effects of flow and incident acoustic field on liner impedance. It is also observed that using antisymmetric high-order modes as incident field significantly enhances the robustness of the eduction process.

流声衬垫的阻抗排除通常是在均匀平均流和入射平面波存在的假设下进行的。然而，近年来的研究表明，剪切流动对声波的传播及其与衬垫的相互作用有显著影响。因此，在与目标应用（如飞机机舱）非常相似的流动和声学条件下，对声学处理进行表征至关重要。本文研究并实验验证了在缅因流设备上的剪切流多模态声场中阻抗消减的直接方法，该方法仅通过模拟得到验证。除了提出的双线性配置以增强输出鲁棒性外，还实现了其他开发，包括解决多模态场引入的复杂性的主导模式选择算法和避免杂散模式效应的2线麦克风阵列设计。还考虑了不同的高阶入射模式（垂直于直线方向）。最后，采用推荐的设置和两种类型的衬垫样品，研究了流动和入射声场对衬垫阻抗的影响。我们还观察到，使用反对称高阶模作为入射场显著提高了导出过程的鲁棒性。

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引用次数: 0