IF 2.1 3区物理与天体物理

Wave Motion Pub Date : 2025-05-13 DOI: 10.1016/j.wavemoti.2025.103577

Baij Nath Singh , Vinayak Ranjan , R.N. Hota

{"title":"Optimization of vibration and noise reduction in sigmoid functionally graded plates using mode localization","authors":"Baij Nath Singh , Vinayak Ranjan , R.N. Hota","doi":"10.1016/j.wavemoti.2025.103577","DOIUrl":"10.1016/j.wavemoti.2025.103577","url":null,"abstract":"<div><div>The acoustic and vibrational properties of thin plates made of aluminum and aluminum oxide with a sigmoidally functionally graded material (SFGMs) with physical neutral surface are investigated in this study through use of mode localization and varying boundary conditions. This approach facilitates an in-depth analysis of how differences in material gradation impact the vibrational response and sound emission of the plates. The materials follow a sigmoidal gradation law with indices of k = 0, 1, 5, and 10. Mode localization is assessed by imposing a 20% mass constraint, either concentrated at a point or distributed across the structure. With the use of MATLAB, the governing equation – which was derived using Kirchhoff’s plate theory – is analytically solved to determine the normal velocity and far-field sound radiation fields. Numerical simulation in ANSYS are used to validate the sound power levels, and the result shows a notable level of agreement. The ‘A’-weighted sound power levels (dBA) indicate a rise in sound power level as the sigmoid-law index increases. Across all gradation indices, plates with distributed mass exhibit reduced sound power levels compared to those with point mass. This research delivers a comprehensive analysis of the vibroacoustic properties of SFGM plates, offering important insights for designing quieter structural components in engineering applications.</div></div>","PeriodicalId":49367,"journal":{"name":"Wave Motion","volume":"138 ","pages":"Article 103577"},"PeriodicalIF":2.1,"publicationDate":"2025-05-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144068199","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0

On wave equations and energy balance for non-linear and linear vibrations of non-uniform and uniform strings and membranes 非均匀弦和均匀膜非线性和线性振动的波动方程和能量平衡

IF 2.1 3区物理与天体物理

Wave Motion Pub Date : 2025-05-09 DOI: 10.1016/j.wavemoti.2025.103574

L.M.B.C. Campos, M.J.S. Silva

{"title":"On wave equations and energy balance for non-linear and linear vibrations of non-uniform and uniform strings and membranes","authors":"L.M.B.C. Campos, M.J.S. Silva","doi":"10.1016/j.wavemoti.2025.103574","DOIUrl":"10.1016/j.wavemoti.2025.103574","url":null,"abstract":"<div><div>The energy flux, the energy density and the wave equation are considered for the transverse vibrations of (i) elastic strings and (ii) membranes under isotropic tension. In both cases (i) and (ii) the wave equation with external forces is obtained in general for (a) non-linear vibrations with large slope and (b) mass density and tangential tension arbitrary functions of position and time. The energy equation, including the energy density and flux and power of external forces, exists for (a) non-linear vibrations and (c) mass density and tangential tension independent of time and arbitrary functions of position. In the simplest case of linear vibrations of uniform elastic (i) strings and (ii) membranes are considered for standing modes and propagating waves, confirming the classical results for propagating waves: (a) the equipartition of kinetic and elastic energies; (b) the energy velocity, that is the ratio of energy flux and density, equal to the wave speed. The statements (a) and (b) generally do not hold: (i) for linear waves in non-uniform strings due to wave refraction by the non-uniform wave speed; (ii) for non-linear waves in a uniform string because of the contrast between the kinetic (elastic) energy as a function of velocity (strain) that is quadratic (has higher order terms); (iii) for non-linear waves in non-uniform strings because, as in (i) and (ii) the velocity and strain satisfy different wave equations.</div></div>","PeriodicalId":49367,"journal":{"name":"Wave Motion","volume":"138 ","pages":"Article 103574"},"PeriodicalIF":2.1,"publicationDate":"2025-05-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144068202","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0

A wave finite element approach for the vibroacoustic analysis of fluid-filled pipes with joints and defects 带有接头和缺陷的充液管道振动声分析的波动有限元方法

IF 2.1 3区物理与天体物理

Wave Motion Pub Date : 2025-05-08 DOI: 10.1016/j.wavemoti.2025.103576

D.S. Claro, V. Denis, J.-M. Mencik

{"title":"A wave finite element approach for the vibroacoustic analysis of fluid-filled pipes with joints and defects","authors":"D.S. Claro, V. Denis, J.-M. Mencik","doi":"10.1016/j.wavemoti.2025.103576","DOIUrl":"10.1016/j.wavemoti.2025.103576","url":null,"abstract":"<div><div>This paper investigates the wave propagation and time-domain behavior of fluid-filled pipes with joints and defects. Fluid-filled pipes represent elasto-acoustic waveguides, which can be modeled with the wave finite element method. Also, joints and defects represent coupling elements, with elastic and acoustic parts, which can be described from finite element-based scattering matrix models. To improve the computation of the scattering matrices, a Craig–Bampton reduction is proposed where the internal degrees of freedom of the elastic and acoustic parts are expressed from reduced bases of component modes. To address convergence issues of the Craig–Bampton method, the reduced bases of component modes can be enriched with static correction vectors to account for the fluid–structure coupling effect at the interface between the elastic and acoustic parts. Numerical experiments are carried out, which concern (i) two elasto-acoustic waveguides with a curved joint and a defect, and (ii) three elasto-acoustic waveguides with a T-shaped joint and a defect. In each case, the wave transmission/reflection coefficient about the joint are computed and discussed in detail. Also, time-domain responses are assessed to demonstrate the feasibility to detect a defect in a network of pipes with a joint from input wave packets of different frequencies. Results show that the influence of the fluid can strongly affect the pipe responses, and the detection of the defect.</div></div>","PeriodicalId":49367,"journal":{"name":"Wave Motion","volume":"138 ","pages":"Article 103576"},"PeriodicalIF":2.1,"publicationDate":"2025-05-08","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143931826","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0

Discrete Huygens’ source representations: Applications to loaded-wire gratings 离散惠更斯源表示：负载线光栅的应用

IF 2.1 3区物理与天体物理

Wave Motion Pub Date : 2025-05-03 DOI: 10.1016/j.wavemoti.2025.103563

Thorkild B. Hansen

{"title":"Discrete Huygens’ source representations: Applications to loaded-wire gratings","authors":"Thorkild B. Hansen","doi":"10.1016/j.wavemoti.2025.103563","DOIUrl":"10.1016/j.wavemoti.2025.103563","url":null,"abstract":"<div><div>This paper presents a novel approach to discrete Huygens’ source representations and their application to loaded-wire grating problems in various environments. We begin by introducing a method using an array of line sources in free space to reproduce fields from primary sources with finite cross-sections to an arbitrarily high degree of accuracy. This technique employs exact plane-wave representations and far-field functions to determine the current strengths of equally spaced line sources. The use of far-field functions avoids the singularities of the plane-wave spectra when equating the fields of two sources. Numerical examples demonstrate the accuracy of this approach and highlight the significant contribution of evanescent waves. We then extend this concept to solve loaded-wire grating problems in free space, utilizing two Huygens’ source representations to determine the required wire impedances for achieving desired field transformations. The theory is validated through numerical simulations, showcasing the conversion of real point-source fields into complex point-source fields using strategically designed gratings. Furthermore, we adapt the discrete Huygens’ source representation for scenarios involving dielectric slabs backed by conducting ground planes, and solve the corresponding loaded-wire grating problems.</div></div>","PeriodicalId":49367,"journal":{"name":"Wave Motion","volume":"138 ","pages":"Article 103563"},"PeriodicalIF":2.1,"publicationDate":"2025-05-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143912298","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0

Energy velocity of elastic guided waves in immersed plates for complex frequencies and slownesses 复频率和慢度下沉板中弹性导波的能量速度

IF 2.1 3区物理与天体物理

Wave Motion Pub Date : 2025-04-30 DOI: 10.1016/j.wavemoti.2025.103565

Marc Deschamps, Eric Ducasse

{"title":"Energy velocity of elastic guided waves in immersed plates for complex frequencies and slownesses","authors":"Marc Deschamps, Eric Ducasse","doi":"10.1016/j.wavemoti.2025.103565","DOIUrl":"10.1016/j.wavemoti.2025.103565","url":null,"abstract":"<div><div>The computation of guided modes in fluid-loaded multilayer plates is generally done by a spatial approach, <em>i.e.</em> solutions are sought for a complex slowness. An alternative approach, less frequently employed, involves seeking solutions for complex frequencies. These frequencies correspond to plate resonances. They denote transient phenomena and the guided modes exhibit non-harmonic behavior. Consequently, conventional methods of averaging over time periods become unsuitable for calculating the means of energy quantities. In other words, the calculation of average fields cannot be reduced to a single average over a time period. To tackle this issue, for a predetermined mode, the average fields are obtained through a single averaging process applied to an arbitrary phase term. This averaging process renders independent the means of all energy quantities from the arbitrary origin phase. As usual, an additional integration across the thickness is conducted to derive total energy quantities. Doing this, the total average fields depend on both time and position on the surface plate. A set of four equations is derived from instantaneous and local energy balance equations. From these averages, the energy velocity can be directly calculated. The equations provide further insights into wave dispersion and damping along the energy flow direction, arising from viscoelastic losses and leakages in fluid.</div></div>","PeriodicalId":49367,"journal":{"name":"Wave Motion","volume":"138 ","pages":"Article 103565"},"PeriodicalIF":2.1,"publicationDate":"2025-04-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143906297","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0

On the matrix negative order Korteweg–de Vries equation — the commutative case 关于矩阵负阶Korteweg-de Vries方程-交换情况

IF 2.1 3区物理与天体物理

Wave Motion Pub Date : 2025-04-30 DOI: 10.1016/j.wavemoti.2025.103562

T. Kriecherbauer , G.U. Urazboev , A.K. Babadjanova

引用次数: 0

Well-posed boundary conditions and energy stable discontinuous Galerkin spectral element method for the linearized Serre equations 线性化Serre方程的定常边界条件和能量稳定间断Galerkin谱元法

IF 2.1 3区物理与天体物理

Wave Motion Pub Date : 2025-04-26 DOI: 10.1016/j.wavemoti.2025.103564

Kenny Wiratama , Kenneth Duru , Stephen Roberts , Christopher Zoppou

引用次数: 0

Control of Bleustein-Gulyaev (BG) waves by a locally resonant meta-surface 局部共振元表面对Bleustein-Gulyaev （BG）波的控制

IF 2.1 3区物理与天体物理

Wave Motion Pub Date : 2025-04-26 DOI: 10.1016/j.wavemoti.2025.103575

Yu Pang , Qiyuan Duan , Wenjie Feng , Xuan Zhao

{"title":"Control of Bleustein-Gulyaev (BG) waves by a locally resonant meta-surface","authors":"Yu Pang , Qiyuan Duan , Wenjie Feng , Xuan Zhao","doi":"10.1016/j.wavemoti.2025.103575","DOIUrl":"10.1016/j.wavemoti.2025.103575","url":null,"abstract":"<div><div>A locally resonant meta-surface can manipulate surface wave propagation. In this paper, we investigate the propagation of Bleustein-Gulyaev (BG) waves in a piezoelectric (PE) half space coupled to a locally resonant meta-surface. The meta-surface consists of an array of sub-wavelength spring-mass resonators attached to the free surface of a PE half-space. Using the effective medium approximation, we analytically obtain an explicit dispersion equation of BG wave on the meta-surface. A finite element model (FEM) is proposed to validate the analytical method. The propagating BG wave hybridizing with the surface resonance excites a guided mode and the electromechanical coupling properties of BG wave result in a higher mode, which are below and above the resonance frequency, respectively. An avoided crossing band gap occurs due to the local resonance. Within the band gap, BG wave transforms into shear bulk wave. The band gap and wave mode shapes are tunable non-destructively via the interaction parameters. By enhancing this interaction, the band gap becomes wider while the displacements, electric potentials and stresses at lower frequencies decay more slowly than those at higher frequencies. In addition, a stronger electric field is excited by the local resonance coupled with the PE half-space. The present work proposes a simply way to manipulate surface acoustic wave (SAW) without any change on geometrical or material properties of original host substrate. Hence, this way is low-cost and convenient. Besides, the model of spring-mass resonators is instructive for a better understanding the general behavior of wave-guiding by local resonance. It is expected that the current model will be applied in practice to design SH wave-based SAW filters and resonators.</div></div>","PeriodicalId":49367,"journal":{"name":"Wave Motion","volume":"138 ","pages":"Article 103575"},"PeriodicalIF":2.1,"publicationDate":"2025-04-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143899335","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0

Persistence of integrable wave dynamics in the Discrete Gross–Pitaevskii equation: The focusing case 离散Gross-Pitaevskii方程中可积波动动力学的持续性：重点案例

IF 2.1 3区物理与天体物理

Wave Motion Pub Date : 2025-04-24 DOI: 10.1016/j.wavemoti.2025.103560

G. Fotopoulos , N.I. Karachalios , V. Koukouloyannis

{"title":"Persistence of integrable wave dynamics in the Discrete Gross–Pitaevskii equation: The focusing case","authors":"G. Fotopoulos , N.I. Karachalios , V. Koukouloyannis","doi":"10.1016/j.wavemoti.2025.103560","DOIUrl":"10.1016/j.wavemoti.2025.103560","url":null,"abstract":"<div><div>Expanding upon our prior findings on the proximity of dynamics between integrable and non-integrable systems within the framework of nonlinear Schrödinger equations, we examine this phenomenon for the focusing Discrete Gross–Pitaevskii equation in comparison to the Ablowitz–Ladik lattice. The presence of the harmonic trap necessitates the study of the Ablowitz–Ladik lattice in weighted spaces. We establish estimates for the distance between solutions in the suitable metric, providing a comprehensive description of the potential evolution of this distance for general initial data. These results apply to a broad class of nonlinear Schrödinger models, including both discrete and partial differential equations. For the Discrete Gross–Pitaevskii equation, they guarantee the long-term persistence of small-amplitude bright solitons, driven by the analytical solution of the AL lattice, especially in the presence of a weak harmonic trap. Numerical simulations confirm the theoretical predictions about the proximity of dynamics between the systems over long times. They also reveal that the soliton exhibits remarkable robustness, even as the effects of the weak harmonic trap become increasingly significant, leading to the soliton’s curved orbit.</div></div>","PeriodicalId":49367,"journal":{"name":"Wave Motion","volume":"138 ","pages":"Article 103560"},"PeriodicalIF":2.1,"publicationDate":"2025-04-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143878871","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0

New exact solutions of the (3+1)-dimensional defocusing Gardner–KP equation using Lie symmetry analysis （3+1）维散焦Gardner-KP方程的精确解

IF 2.1 3区物理与天体物理

Wave Motion Pub Date : 2025-04-19 DOI: 10.1016/j.wavemoti.2025.103559

Yongxin Liu, Jinyu Wu, Xuelin Yong

{"title":"New exact solutions of the (3+1)-dimensional defocusing Gardner–KP equation using Lie symmetry analysis","authors":"Yongxin Liu, Jinyu Wu, Xuelin Yong","doi":"10.1016/j.wavemoti.2025.103559","DOIUrl":"10.1016/j.wavemoti.2025.103559","url":null,"abstract":"<div><div>In this paper, an attempt is made to present the rigorous and comprehensive group analysis of the (3+1)-dimensional defocusing Gardner–KP equation. According to the Lie invariance condition, the Lie algebra of infinitesimal symmetries spanned by eight vector fields is found. The commutator and adjoint representation tables are derived, and a detailed process for searching the optimal system of one-dimensional subalgebras is shown. Several symmetry reductions and group-invariant solutions with physical or mathematical interests are obtained by using infinitesimal generators in the optimal system. Some new particular solutions are deduced by using effective invariant-solution ansatz and the solutions of a second-order elliptic equation with power-law nonlinearity. Especially, by recasting the reduced two-dimensional counterpart equation into Hirota’s bilinear form, the fundamental solitary waves are found. And a special kind of flat-top soliton excitation is exhibited. It is also shown that this (3+1)-dimensional equation can have only unidirectional multiple-soliton solutions and does not allow soliton resonance to occur. The physical interpretations of resulting solutions are illustrated by three-dimensional graphics through numerical simulation. Different types of two-soliton interactions are also demonstrated in graphical ways.</div></div>","PeriodicalId":49367,"journal":{"name":"Wave Motion","volume":"138 ","pages":"Article 103559"},"PeriodicalIF":2.1,"publicationDate":"2025-04-19","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143867811","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0

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