Wave Motion最新文献_第3页

Rapid computation of sound transmission in fluid-filled pipes coupled with an outer elastic medium 外弹性介质耦合充液管道声传输的快速计算

IF 2.5 3区物理与天体物理 Q2 ACOUSTICS

Wave Motion

Pub Date : 2025-11-23 DOI: 10.1016/j.wavemoti.2025.103679

Wenhua Chen , Xueguang Liu , Zhiyong Yin , Yudong Sun , Weixi Huang

Determining the sound propagation characteristics of fluid-filled pipes is essential in acoustic stealth and leakage detection research. This study develops a rapid method for assessing the acoustic transmission properties of fluid-filled pipes under practical conditions involving an external medium. Initially, coupled equations for the fluid-filled pipe and the surrounding medium are established. Based on the dispersion characteristics, the influence of different external media on the propagation of the s = 1 wave mode is analyzed. Overall, the surrounding medium affects both wave speed and transmission loss within the pipe. Specifically, the added damping introduced by the external medium increases acoustic transmission loss. When the external medium exerts an axial force on the pipe, its axial natural frequency increases (by about a factor of 100 when embedded in soil compared to water), thereby suppressing resonant peaks in the transmission loss. The loading effect of the external medium also alters wave speed. When the pipe is embedded in soil, the low-frequency wave speed increases notably. A transfer matrix describing the relationship between variables at both ends of the pipe is derived using fluid pressure and displacement and pipe force and displacement. This model accounts for the external elastic medium, a feature frequently neglected in prior studies, to provide a more accurate representation of practical scenarios such as buried and subsea pipelines. Based on this matrix, a method for calculating transmission loss is developed, substantially reducing the time required to solve complex partial differential equations. The computed transmission loss aligns well with simulation data, validating the proposed method. Overall, the approach considerably enhances computational efficiency, making it suitable for engineering applications.

确定充液管道的声传播特性是声隐身和泄漏检测研究的重要内容。本研究发展了一种快速评估实际条件下含外介质充液管道声传输特性的方法。首先建立了充液管道与周围介质的耦合方程。基于色散特性，分析了不同外介质对s = 1波模式传播的影响。总的来说，周围介质对管道内的波速和传输损耗都有影响。具体来说，外部介质引入的附加阻尼增加了声传输损失。当外界介质对管道施加轴向力时，管道的轴向固有频率增加（埋在土壤中比埋在水中增加约100倍），从而抑制了传输损耗中的谐振峰。外介质的加载效应也改变了波速。当管道埋于土壤中时，低频波速明显增大。利用流体压力和位移以及管道力和位移，导出了描述管道两端变量之间关系的传递矩阵。该模型考虑了外部弹性介质这一在以往研究中经常被忽略的特征，从而更准确地描述了埋地和海底管道等实际情况。在此基础上，提出了一种计算传输损耗的方法，大大减少了求解复杂偏微分方程所需的时间。计算的传输损耗与仿真数据吻合较好，验证了所提方法的有效性。总的来说，该方法大大提高了计算效率，使其适合于工程应用。

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引用次数: 0

Phonon focusing and polaritons of GaN 氮化镓的声子聚焦和极化

IF 2.5 3区物理与天体物理 Q2 ACOUSTICS

Wave Motion

Pub Date : 2025-11-19 DOI: 10.1016/j.wavemoti.2025.103677

Hongzhi Fu

Based on lattice vibration, the 3-branches of lattice waves of GaN (longitudinal wave, slow transverse lattice wave and fast transverse lattice wave) are systematically studied with phase and group wave surfaces. Their properties about the phonon transportation and phonon focusing as well as the degeneracy are investigated in Gaussian curvature. According to the theory of sound field and wave in crystals, we mainly focus on bulk phonon polaritons, exciton polaritons and surface polaritons in GaN. The properties are investigated on the dispersion of phonon polaritons and exciton dispersion polaritons with electromagnetic waves.

基于晶格振动，系统地研究了氮化镓晶格波的三个分支（纵波、慢横晶格波和快横晶格波）的相波和群波表面。研究了它们在高斯曲率下的声子输运和聚焦特性以及简并性。根据晶体中声场和波的理论，我们主要研究GaN中的体声子极化子、激子极化子和表面极化子。研究了声子色散和激子色散在电磁波中的色散性质。

引用次数: 0

Study on acoustic elasticity of vibrating liquid column used for hydrophone calibration 水听器定标用振动液柱的声弹性研究

IF 2.5 3区物理与天体物理 Q2 ACOUSTICS

Wave Motion

Pub Date : 2025-11-17 DOI: 10.1016/j.wavemoti.2025.103676

Limu Qin , Jie Zhou , Gen Zhang , Yue Xu , Chenhao Wu , Wen He

The vibrating liquid column calibration method (VLCCM) constitutes a critical calibration technique for low-frequency hydrophones, where its acoustic field analytical solution (AFAS) underpins primary calibration accuracy. Current international standards derive the VLCCM's AFAS from the Helmholtz equation under rigid boundary conditions. However, these boundary conditions cannot be fully realized in practice, inducing significant deviations in primary calibration results. In this scenario, the acoustic field numerical solutions for vibrating liquid columns under rigid and elastic boundary conditions are calculated by finite element method in this paper, and the discrepancies between numerical and analytical solutions are quantified to characterize acoustic field distribution. Specifically, the resonance and radial uniformity conditions across boundary constraints are investigated, and quantitative indicators such as sound pressure minimum deviation frequency, liquid column-to-vessel height ratio, and radius-to-wall thickness ratio are introduced to systematically analyze the differences between analytical and numerical solutions and establish dimensional design constraints for VLCCM systems.

振动液柱定标法（VLCCM）是低频水听器的一种关键定标技术，其声场解析解（AFAS）是主要定标精度的基础。目前的国际标准是从刚性边界条件下的亥姆霍兹方程推导出VLCCM的AFAS。然而，这些边界条件在实际中并不能完全实现，导致初步标定结果存在较大偏差。在这种情况下，本文采用有限元法计算了刚性和弹性边界条件下振动液柱的声场数值解，并量化了数值解与解析解之间的差异，表征了声场分布。具体而言，研究了跨边界约束的共振和径向均匀性条件，并引入声压最小偏差频率、柱容器高度比、半径壁厚比等定量指标，系统分析了解析解与数值解的差异，建立了VLCCM系统的尺寸设计约束。

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引用次数: 0

Stability of periodic traveling waves for the hydroelastic Whitham equation 水弹性Whitham方程周期行波的稳定性

IF 2.5 3区物理与天体物理 Q2 ACOUSTICS

Wave Motion

Pub Date : 2025-11-15 DOI: 10.1016/j.wavemoti.2025.103675

Marcelo V. Flamarion , Jimmie Adriazola

In this work, we investigate the stability of hydroelastic periodic traveling waves within a Whitham-type equation framework. The Whitham equation is well known in the literature as a relatively simple model that nevertheless captures rich nonlinear phenomena such as short waves and breaking. Periodic traveling waves are computed numerically, and their stability is analyzed by evaluating the spectrum via the Fourier–Floquet–Hill method. We show that for small values of the flexural rigidity coefficient, small-amplitude periodic traveling waves are unstable; however, as the amplitude increases beyond a critical threshold, we first observe stabilization (not complete); subsequently, the spectrum bifurcates, and the traveling waves become increasingly unstable. In contrast, when the flexural rigidity coefficient is large, periodic traveling waves remain stable for all amplitudes. For moderate elasticity, two scenarios may occur: either (i) the maximal instability growth rate exhibits a monotonic dependence on the wave height, or (ii) complete stabilization is achieved for sufficiently large heights within numerical tolerance.

本文在whitham型方程框架下研究了水弹性周期行波的稳定性。惠瑟姆方程作为一个相对简单的模型在文献中是众所周知的，然而它却捕捉到了丰富的非线性现象，如短波和断裂。对周期行波进行了数值计算，并利用傅里叶- floquet - hill方法对周期行波的谱进行了评价，分析了周期行波的稳定性。结果表明，当弯曲刚度系数较小时，小振幅周期行波是不稳定的；然而，当振幅增加超过临界阈值时，我们首先观察到稳定（不完全）；随后，频谱分叉，行波变得越来越不稳定。相反，当弯曲刚度系数较大时，周期行波在所有振幅下都保持稳定。对于中等弹性，可能出现两种情况：要么(i)最大不稳定增长率表现出对波高的单调依赖，要么（ii）在数值公差范围内足够大的高度实现完全稳定。

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引用次数: 0

Generation of multiple bending wave and vibration attenuation zones by constant-mass spatial distribution of 3D resonators in elastic metamaterial thin plates 弹性超材料薄板中三维谐振器等质量空间分布产生多重弯曲波和振动衰减区

IF 2.5 3区物理与天体物理 Q2 ACOUSTICS

Wave Motion

Pub Date : 2025-11-14 DOI: 10.1016/j.wavemoti.2025.103674

M.B.M. Sales , M.C.P. Dos Santos , C.B.F. Gomes , I.F. Chagas , F.N. Pereira , E.J.P. Miranda Jr.

This work aimed to investigate the influence of mass spatial distribution of 3D resonator on the formation of attenuation zones in elastic metamaterial (EM) thin plates, considering bending vibrations and maintaining constant mass, volume, and density. The mass distribution in real systems can be more accurately represented through 3D resonators, enabling the use of geometric parameters to improve vibration and wave control. The investigation was conducted using the finite element method (FEM). The attenuation zones were identified through dispersion diagrams,

ω (k)

, considering the influence of transverse waves via the polarization factor, which is consistent with the frequency response function (FRF). A supercell approach was employed to represent the combination of different geometries, mass distributions, and parameter progressions. The midgap frequency and bandwidth of attenuation zones proved to be highly sensitive to 3D resonator geometry, even under constant mass conditions, due to the influence of mass spatial distribution, which affected both the stiffness and the moment of inertia. A trade-off was identified between lowering the midgap frequency and narrowing the bandwidth, which was overcome by increasing the resonator width. The progression of geometric parameters and the combination of different geometries enabled simultaneous reduction of the midgap frequency and expansion of the bandwidth, resulting in up to five distinct attenuation zones. Thus, geometric adjustments allow vibrational performance improvements without increasing mass, manufacturing time, or structural cost. This approach simplifies the fabrication of 3D resonators and offers a lighter alternative with improved dynamic performance, establishing a viable solution for 3D printing applied to vibration control in engineering applications.

本工作旨在研究三维谐振腔的质量空间分布对弹性超材料（EM）薄板中衰减区形成的影响，同时考虑弯曲振动和保持恒定的质量、体积和密度。通过三维谐振器可以更准确地表示实际系统中的质量分布，从而可以使用几何参数来改善振动和波动控制。采用有限元法进行了研究。考虑到横波通过极化因子的影响，通过色散图ω(k)识别衰减区，这与频响函数（FRF）一致。采用超级单体方法来表示不同几何形状、质量分布和参数级数的组合。即使在质量恒定的条件下，由于质量空间分布的影响，衰减区的中频和带宽对三维谐振腔几何形状也非常敏感，这既影响了刚度，也影响了惯性矩。在降低中隙频率和缩小带宽之间进行了权衡，通过增加谐振器宽度来克服这一问题。几何参数的变化和不同几何形状的组合可以同时降低中隙频率和扩展带宽，从而产生多达五个不同的衰减区。因此，几何调整可以在不增加质量、制造时间或结构成本的情况下改善振动性能。这种方法简化了3D谐振器的制造，提供了一种更轻的替代方案，改善了动态性能，为3D打印应用于工程应用中的振动控制建立了可行的解决方案。

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引用次数: 0

Nonlinear modulation of capillary waves on linear shear flows in finite depth 有限深度线性剪切流中毛细波的非线性调制

IF 2.5 3区物理与天体物理 Q2 ACOUSTICS

Wave Motion

Pub Date : 2025-11-13 DOI: 10.1016/j.wavemoti.2025.103671

Debraj Giri, A.K. Dhar

In this paper linear shear current modified nonlinear Schrödinger (NLS) equation for surface capillary wavetrain has been employed to investigate the modulational instability (MI) and bifurcation of two-dimensional Stokes wavetrain on water of finite depth. Herein, linear shear currents are considered to be a linear combination of constant vorticity and depth uniform current. It is observed that shear currents for finite water depth considerably modify the instability properties of weakly nonlinear Stokes wavetrain. The instability analysis to oblique perturbations on infinite depth of water has been made, showing that the dominant MI is two-dimensional whatever the values of the vorticity. Near the minimum of wave speed it is exhibited that generalized capillary solitary wavetrains bifurcate from pure capillary Stokes wavetrains for positive vorticity. The results shed some lights on the effects of wind forcing and dissipation on the MI. Moreover, the effects of both vorticity and depth uniform currents on the Peregrine breather which can be regarded as the prototype of rogue waves is investigated.

本文采用线性剪切电流修正的表面毛细波列非线性Schrödinger （NLS）方程，研究了有限深度水中二维Stokes波列的调制不稳定性和分岔问题。在这里，线性剪切流被认为是定涡度和深度均匀流的线性组合。研究发现，有限水深下的剪切流极大地改变了弱非线性斯托克斯波列的不稳定性。本文对无限水深下斜摄动的不稳定性进行了分析，结果表明，无论涡度值如何，主导扰动都是二维的。在波速最小值附近，显示出正涡度的广义毛细孤立波与纯毛细斯托克斯波的分叉。研究结果揭示了风的强迫和耗散对湍流的影响，并探讨了涡度和深度均匀流对作为异常波原型的游隼式气流的影响。

引用次数: 0

Band gap scalability in optimised phononic crystals 优化声子晶体的带隙可扩展性

IF 2.5 3区物理与天体物理 Q2 ACOUSTICS

Wave Motion

Pub Date : 2025-11-12 DOI: 10.1016/j.wavemoti.2025.103673

Leonel Quinteros , Viviana Meruane , Erick I. Saavedra Flores

Phononic crystals (PnCs) are distinguished by their exceptional ability to control the propagation of elastic and acoustic waves in a medium, resulting in the attenuation of wave propagation within specific frequency ranges known as band gaps. This property enables promising engineering applications as metamaterials in fields such as seismic engineering, piezoelectric control, sensing, and sound absorption. Although significant efforts have been made to optimise the design of these metamaterials to maximise band gap width, the relationship between band gap location, size, and scaling laws has not been explicitly established. In this work, we investigate the relationship between band gap frequency, width, and structural scaling. We analyse PnCs from the literature with optimised band gaps, incorporating different types of finite elements, such as truss, beam, and two-dimensional elements, to enhance the scalability analysis. The case studies include three unit cell types: truss-like lattices, two-dimensional plates, and sandwich panels. The results demonstrate a consistent inverse proportionality between band gap frequency and length scale across all studied cases, providing a straightforward scalability rule. Additionally, the study highlights that deviations from strict geometric similarity, often required due to manufacturing constraints or geometric limitations, result in predictable yet non-linear variations in relative band gap properties. Understanding these deviations is crucial for realistic design scenarios, enabling designers to leverage pre-optimised structures effectively, reducing computational effort, and supporting practical applications of phononic metamaterials.

声子晶体（PnCs）以其特殊的控制弹性和声波在介质中的传播的能力而闻名，导致波在特定频率范围内的传播衰减，称为带隙。这种特性使其在地震工程、压电控制、传感和吸声等领域的超材料应用前景广阔。虽然已经做出了巨大的努力来优化这些超材料的设计，以最大限度地提高带隙宽度，但带隙位置、尺寸和缩放定律之间的关系尚未明确建立。在这项工作中，我们研究了带隙频率，宽度和结构尺度之间的关系。我们分析了文献中具有优化带隙的pnc，结合了不同类型的有限元，如桁架、梁和二维元素，以增强可扩展性分析。案例研究包括三种单元格类型：桁架状晶格、二维板和夹层板。结果表明，在所有研究案例中，带隙频率和长度尺度之间存在一致的反比例关系，提供了一个简单的可扩展性规则。此外，该研究强调，由于制造限制或几何限制，通常需要偏离严格的几何相似性，从而导致相对带隙特性的可预测但非线性变化。了解这些偏差对于现实设计场景至关重要，使设计师能够有效地利用预优化结构，减少计算工作量，并支持声子超材料的实际应用。

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引用次数: 0

Interface states of surface water waves based on Fibonacci corrugations with mirror symmetry 基于镜面对称斐波那契波纹的表面水波界面态

IF 2.5 3区物理与天体物理 Q2 ACOUSTICS

Wave Motion

Pub Date : 2025-11-08 DOI: 10.1016/j.wavemoti.2025.103672

Qing-Dong Hong , Lei Yang , Rui-Lin Liu , Shu-Ya Jin , Ya-Xian Fan , Zhi-Yong Tao

We propose a kind of quasi-periodic structures to manipulate water waves for ocean engineering and discover a surface water wave interface state induced by a Fibonacci quasi-periodic mirror-symmetric structure on the channel sidewalls. The fifth-generation Fibonacci quasi-periodic structure provides a forbidden band for water surface waves, where the mirror-symmetry leads to an additional transmission of interface states. The interface states are characterized by two regions with opposite polarities with the maximum spatial intensity distribution localized at the mirror junction. Furthermore, by varying the separation distance at the mirror junction, we achieve the tunable control of the interface state center frequency, and the numerical simulations are validated through experimental measurements. The proposed quasi-periodic mirror-symmetric structure enriches the methods of wave control engineering and can find applications in marine energy harvesting, coastal protection, reef construction, and navigation safety.

我们提出了一种准周期结构来操纵海洋工程中的水波，并发现了由通道侧壁上的斐波那契准周期镜像对称结构诱导的表面水波界面状态。第五代斐波那契准周期结构为水面波提供了一个禁带，其中镜面对称导致界面状态的额外传输。界面态的特征是两个极性相反的区域，最大的空间强度分布在镜面交界处。此外，通过改变镜面连接处的分离距离，实现了界面状态中心频率的可调控制，并通过实验测量验证了数值模拟结果。所提出的准周期镜像对称结构丰富了波浪控制工程的方法，可以在海洋能量收集、海岸防护、礁石建设和航行安全等方面找到应用。

引用次数: 0

Revisiting acoustic true-amplitude seismic imaging: Asymptotic linearized inversion, reverse-time migration, and their interrelations 重述声学真振幅地震成像：渐近线性化反演、逆时偏移及其相互关系

IF 2.5 3区物理与天体物理 Q2 ACOUSTICS

Wave Motion

Pub Date : 2025-11-07 DOI: 10.1016/j.wavemoti.2025.103670

Bingkai Han, Wei Ouyang, Qianru Xu, Shaokang Yang, Weijian Mao

True-amplitude migration is essential for quantitative seismic imaging because it preserves the amplitude information required for reliable inversion and interpretation. Ray-theoretical formulations, beginning with asymptotic linearized inversion, establish migration as the adjoint of the Born operator and achieve amplitude fidelity through pseudo-differential analysis. In contrast, wave-equation-based methods such as reverse-time migration (RTM) are widely applied in practice, but their crosscorrelation implementations do not, in general, ensure amplitude correctness. This raises a fundamental question of consistency: under what conditions does RTM recover the same amplitude-correct image as asymptotic linearized inversion? In this study, we develop a unified framework for true-amplitude migration in acoustic media, valid in

R^{n}

(

n \geq 2

). Using scattering-angle-domain decompositions of the Born operator, we analyze the stationary-phase structure of the single-scattering Hessian and construct a Beylkin-type migration operator within a least-squares framework. By explicit evaluating the Jacobian factors that map acquisition surface coordinates into angle-domain coordinates at the imaging point, and further examining the asymptotic behavior of forward- and backward-propagated wavefields, we demonstrate that angle-restricted RTM recovers the same true-amplitude scaling as the derived Beylkin-type operator. This result reconciles ray-theoretical and wave-equation-based perspectives, showing that amplitude corrections, traditionally associated with ray-based methods, can be systematically and naturally incorporated in RTM through geometrical-spreading analysis. Numerical demonstrations confirm that the proposed formulation yields angle-domain common image gathers with accurate amplitude behavior, validating the theoretical consistency and providing a robust foundation for amplitude-variation studies and quantitative inversion in complex acoustic media.

真振幅偏移对于定量地震成像至关重要，因为它保留了可靠反演和解释所需的振幅信息。射线理论公式从渐近线性化反演开始，将偏移作为玻恩算子的伴随，并通过伪微分分析实现幅度保真。相反，基于波动方程的方法（如逆时偏移（RTM））在实践中得到了广泛应用，但它们的相互关系实现通常不能保证幅度的正确性。这就提出了一个基本的一致性问题：在什么条件下，RTM恢复与渐近线性化反演相同的振幅正确的图像？在这项研究中，我们开发了一个统一的声学介质真振幅偏移框架，在Rn （n≥2）中有效。利用Born算子的散射角域分解，分析了单散射Hessian的平稳相位结构，构造了最小二乘框架内的beylkin型偏移算子。通过显式评估将采集曲面坐标映射到成像点角域坐标的雅可比因子，并进一步检查前向和后向传播波场的渐近行为，我们证明了角度受限RTM恢复与导出的beylkin型算子相同的真振幅缩放。该结果协调了射线理论和基于波动方程的观点，表明振幅修正，传统上与基于射线的方法相关联，可以通过几何扩展分析系统而自然地纳入RTM。数值验证表明，该公式得到的角域共像集具有准确的振幅行为，验证了理论一致性，为复杂声介质中振幅变化研究和定量反演提供了坚实的基础。

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引用次数: 0

Seismic wave interaction with buried cavity networks: Analytical modeling and resonance effects 地震波与地下空腔网络的相互作用：解析模型和共振效应

IF 2.5 3区物理与天体物理 Q2 ACOUSTICS

Wave Motion

Pub Date : 2025-11-01 DOI: 10.1016/j.wavemoti.2025.103666

Agnès Maurel , Stéphane Brulé , Sébastien Guenneau , Kim Pham

We study the scattering of elastic waves by a periodic array of cavities buried in an elastic half-space. This configuration is relevant in seismology, where shallow voids can locally amplify ground motion. Building on homogenized interface models developed for infinite media, we extend the approach to account for the presence of a stress-free surface. The resulting model yields an analytical solution to the 2D elastodynamic problem for incident longitudinal L and transverse T waves. A semi-analytical multimodal solution is used for validation. The analysis reveals the conditions under which resonances occur in the soil layer between the cavity tops and the surface, with particular emphasis on the low-frequency resonance that dominates in seismic contexts. The model identifies the key parameters governing resonance and provides insights into the transition from infinite to finite cavity arrays. It offers a simplified yet accurate framework for assessing site-specific seismic amplification.

我们研究了埋在弹性半空间中的周期性空腔阵列对弹性波的散射。这种构造与地震学有关，在地震学中，浅层空洞可以局部放大地面运动。在为无限介质开发的均质界面模型的基础上，我们扩展了该方法以考虑无应力表面的存在。所得模型给出了入射纵L波和横t波的二维弹性动力学问题的解析解。采用半解析的多模态解进行验证。分析揭示了在空洞顶部和地表之间的土层中发生共振的条件，特别强调了在地震环境中占主导地位的低频共振。该模型确定了控制共振的关键参数，并提供了从无限到有限腔阵列转变的见解。它为评估特定地点的地震放大提供了一个简化而准确的框架。

引用次数: 0