Wave Motion最新文献

{"title":"Floquet scattering of shallow water waves by a vertically oscillating plate","authors":"Magdalini Koukouraki ,&nbsp;Philippe Petitjeans ,&nbsp;Agnès Maurel ,&nbsp;Vincent Pagneux","doi":"10.1016/j.wavemoti.2025.103530","DOIUrl":"10.1016/j.wavemoti.2025.103530","url":null,"abstract":"<div><div>We report on the scattering of a plane wave from a vertically oscillating plate in the low frequency approximation by means of Floquet theory. In the case of a static plate, the scattering coefficients are evaluated via mode matching method for the full two-dimensional linearized water wave problem and are compared with the coefficients obtained from a reduced one-dimensional model in the shallow water approximation. The main part of the analysis is the extension of this 1D shallow water approximation to the case of a vertically oscillating plate, where time modulation is only encapsulated in the blockage coefficient. We show that the incident wave is scattered into Floquet sidebands and extract the scattering coefficients for each harmonic using a Floquet scattering formalism. Finally, considering a slowly oscillating plate, we propose a quasistatic approximation which appears to be particularly accurate.</div></div>","PeriodicalId":49367,"journal":{"name":"Wave Motion","volume":"136 ","pages":"Article 103530"},"PeriodicalIF":2.1,"publicationDate":"2025-03-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143549654","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

{"title":"A conditionally integrable non-reciprocal wave equation with diode properties","authors":"P. Broadbridge ,&nbsp;J.M. Goard","doi":"10.1016/j.wavemoti.2025.103529","DOIUrl":"10.1016/j.wavemoti.2025.103529","url":null,"abstract":"<div><div>A known class of conditionally integrable partial differential equations is extended to include those that can be reduced by a non-classical symmetry to a linear Kirchhoff equation. From any steady solution to that linear equation, there follows an exact time-dependent solution to a nonlinear hyperbolic equation. An example solution is constructed in two space dimensions and one time dimension. By a change of variable, in one space dimension these nonlinear partial differential equations are equivalent to a nonlinear wave equation with diode-like properties that break reciprocity. These properties are illustrated by an exact solution in one dimension.</div></div>","PeriodicalId":49367,"journal":{"name":"Wave Motion","volume":"136 ","pages":"Article 103529"},"PeriodicalIF":2.1,"publicationDate":"2025-02-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143549651","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

{"title":"N-periodic wave solutions of the (2+1)-dimensional integrable nonlocal nonlinear Schrödinger equations","authors":"Zhonglong Zhao,&nbsp;Yu Wang","doi":"10.1016/j.wavemoti.2025.103526","DOIUrl":"10.1016/j.wavemoti.2025.103526","url":null,"abstract":"<div><div>In this paper, the quasi-periodic wave solutions for the (2+1)-dimensional integrable nonlocal nonlinear Schrödinger equations based on parity-time <span><math><mrow><mo>(</mo><mi>P</mi><mi>T</mi><mo>)</mo></mrow></math></span> symmetry are investigated through numerical algorithm for the first time. By using the Hirota’s bilinear method and the Riemann-theta function, the system of equations for constructing quasi-periodic wave solutions can be viewed as a nonlinear over-determined system. This system can be transformed into a nonlinear least square problem and solved with the aid of the Gauss–Newton algorithm. The asymptotic property of the one-periodic wave under the small amplitude limit is investigated. Furthermore, the dynamical behaviors of the quasi-periodic waves are analyzed by means of the characteristic lines. The method for constructing the quasi-periodic wave solutions can be further extended into other nonlocal integrable equations.</div></div>","PeriodicalId":49367,"journal":{"name":"Wave Motion","volume":"136 ","pages":"Article 103526"},"PeriodicalIF":2.1,"publicationDate":"2025-02-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143549653","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}

{"title":"Analytical modeling of damped locally-resonant metamaterials","authors":"Sabiju Valiya Valappil ,&nbsp;Alejandro M. Aragón","doi":"10.1016/j.wavemoti.2025.103527","DOIUrl":"10.1016/j.wavemoti.2025.103527","url":null,"abstract":"<div><div>Locally-resonant metamaterials (LRMMs) are architected materials that can be designed to manipulate mechanical wave propagation by tuning their band gaps. Discrete lumped-mass models and discrete distributed-mass finite element models are both generally used to analyze LRMMs. While the former is accurate only near the fundamental resonance frequency of resonators, the latter’s accuracy is tightly coupled to the computational cost. In this study, an analytical procedure based on the spectral element method (SEM) is proposed to analyze both undamped and damped LRMMs as continuous systems. We compare LRMMs’ band structures to those obtained by discrete models and show that the proposed procedure is capable of capturing the wave dynamics of these materials very accurately and with negligible computational cost. The behavior of a finite LRMM waveguide is also studied through displacement transmissibility. In addition to the attenuation provided by band gaps, we investigate the effects of constant viscous damping and frequency-dependent viscoelastic damping, which proved to be a straightforward extension of the undamped spectral element model.</div></div>","PeriodicalId":49367,"journal":{"name":"Wave Motion","volume":"136 ","pages":"Article 103527"},"PeriodicalIF":2.1,"publicationDate":"2025-02-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143510176","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}

{"title":"Broadband vibration isolation in a finite elastic rod with tailored resonators","authors":"Ali Ihsan Adham,&nbsp;Vladislav Sorokin,&nbsp;Brian Mace,&nbsp;Andrew Hall","doi":"10.1016/j.wavemoti.2025.103528","DOIUrl":"10.1016/j.wavemoti.2025.103528","url":null,"abstract":"<div><div>Elastic and acoustic metamaterials and their ability to suppress noise and vibration have garnered broad interest. However, existing research has focused mainly on periodic metamaterial structures with identical vibration absorbers or resonators, while metamaterial structures with non-uniform and aperiodic resonators have received little attention. This paper presents a method for constructing broad frequency bands of low-vibration transmission using tailored resonators without enforcing restrictions on the resonators’ dynamic properties and positions. In contrast to conventional periodic metamaterials, the method we present connects individual localised resonance bands by strategically tuning and customising the resonators’ dynamic properties. We demonstrate through comparative case studies that tailored resonators can achieve broader attenuation bands with less total mass than periodic and identical resonators. Furthermore, we show that the number of resonators to achieve a preset vibration transmission level can be minimised using an iterative analysis process. Our approach provides enhanced design flexibility and efficiency in creating broad attenuation bands, offering new possibilities for practical vibration control applications where traditional periodic metamaterials face limitations.</div></div>","PeriodicalId":49367,"journal":{"name":"Wave Motion","volume":"136 ","pages":"Article 103528"},"PeriodicalIF":2.1,"publicationDate":"2025-02-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143510177","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

{"title":"Nonlinear wind wave model under effects of wind and dissipation: Establishment and validation","authors":"Wenhao Cheng ,&nbsp;Zeng Liu ,&nbsp;Jifeng Cui ,&nbsp;Jianglong Sun","doi":"10.1016/j.wavemoti.2025.103516","DOIUrl":"10.1016/j.wavemoti.2025.103516","url":null,"abstract":"<div><div>Nonlinear model for the long-time evolution of two-dimensional water waves under wind forcing effect and energy dissipation effect is established. The wind forcing terms constitute the Miles’ shear flow theory and the Jeffreys’ sheltering theory with a wind model criterion to determine when and which model to use. The dissipation terms consist of non-breaking dissipation parts and breaking dissipation parts. A wave-breaking onset criterion based on the ratio of local energy flux velocity to the local crest velocity is used for the determining wave breaking. Numerical evolutions of focusing wave trains solved by the wind wave model are compared with previous works to validate the non-breaking and breaking dissipation terms. Non-breaking focusing wave groups under different wind conditions are resolved and the results are compared with previous experimental studies to validate the wind forcing terms. After the validation, the long-time evolutions of the modulational instability wave trains under wind action and wind forcing conditions are investigated by the wind wave model. The variations of surface profiles, wave energy, and spectrum with the effects of wind forcing and energy dissipation are analyzed.</div></div>","PeriodicalId":49367,"journal":{"name":"Wave Motion","volume":"135 ","pages":"Article 103516"},"PeriodicalIF":2.1,"publicationDate":"2025-02-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143474113","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}

{"title":"High-Order B-spline approximation for solving time-dependent Timoshenko vibrating equations","authors":"A. Ben-Abdellah ,&nbsp;S. Belkouz ,&nbsp;M. Addam","doi":"10.1016/j.wavemoti.2025.103518","DOIUrl":"10.1016/j.wavemoti.2025.103518","url":null,"abstract":"<div><div>The aim of this work is to study the time-dependent coupled Timoshenko partial differential equations (PDEs) with mixed boundary conditions. These wave equations govern the beam displacements in the fields of structural mechanics and civil engineering. The modeling algorithm is implemented in two steps: Firstly, we transform the time-dependent coupled equations into coupled transverse vibrating equations depending on the frequency parameter and space variable. A Galerkin approximation built on Normalized Uniform Polynomial Spline (NUPS) basis functions is employed to compute the pairs of solutions that are the focus of this work. Secondly, we compute the Inverse Fourier Transform (IFT) solution using some quadrature. We also exhibit comparison results for the various calculations of IFT-integral solutions. The theoretical estimates are verified by several tests of Timoshenko wave equations with known analytical solutions. Numerous numerical experiments are presented to validate the numerical convergence rates, and a few examples are also included to demonstrate the high precision, the efficiency, and the outstanding resolution capabilities for both smooth and discontinuous solutions, as well as plots of the 3D beam’s field displacements.</div></div>","PeriodicalId":49367,"journal":{"name":"Wave Motion","volume":"135 ","pages":"Article 103518"},"PeriodicalIF":2.1,"publicationDate":"2025-02-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143480081","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}

{"title":"Analytical investigation of free vibration analysis in functionally graded graphene platelet-reinforced composite beams","authors":"Rui Ma ,&nbsp;Chen Huang ,&nbsp;Lei Cao ,&nbsp;Yong Cao ,&nbsp;Tianchen Zhao ,&nbsp;Jianqiang Zhou ,&nbsp;Chao Zhang","doi":"10.1016/j.wavemoti.2025.103525","DOIUrl":"10.1016/j.wavemoti.2025.103525","url":null,"abstract":"<div><div>Graphene, due to its exceptional mechanical properties, is increasingly recognized as a highly effective reinforcement material for composite structures. Its application in functionally graded graphene platelet-reinforced composite (FG-GPRC) laminated and sandwich beams holds significant potential in various engineering fields. However, accurately predicting the natural frequencies of these beams remains challenging due to limited understanding of interlaminar stress compatibility conditions in current higher-order models. This study addresses this gap by presenting a free vibration analysis of FG-GPRC structures using an improved zigzag beam theory. This theory incorporates transverse shear stresses at layer interfaces, enhancing the accuracy of dynamic analysis. By employing a preprocessing approach based on 3D elasticity equations and Reissner's mixed variational theorem (RMVT), we derive analytical solutions for simply supported laminated and sandwich beams utilizing Hamilton's principle. The proposed model achieves less than 3 % deviation from exact 3D elasticity solutions in predicting natural frequencies, whereas existing higher-order models exhibit deviations exceeding 280 %. Additionally, comprehensive investigations assess the impact of various factors, including graphene volume fractions, distribution profiles, stacking sequences, and geometric attributes. The findings demonstrate that increased graphene volume fractions significantly enhance the natural frequencies of laminated beams, while their effect on sandwich beams is minimal. Furthermore, distribution patterns such as UD and FG-X contribute to higher natural frequencies, and larger span-to-thickness ratios result in increased vibration frequencies. These factors significantly influence the dynamic behavior of FG-GPRC structures, offering valuable insights for design and optimization. This study provides a novel and reliable approach to accurately predicting the dynamic properties of FG-GPRC laminated and sandwich beams, contributing essential knowledge to the field of composite material engineering.</div></div>","PeriodicalId":49367,"journal":{"name":"Wave Motion","volume":"135 ","pages":"Article 103525"},"PeriodicalIF":2.1,"publicationDate":"2025-02-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143474112","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}

{"title":"A numerical study on the penetrability and directivity of the difference-frequency component beam in bubbly liquids obtained via parametric acoustic array","authors":"María Teresa Tejedor-Sastre ,&nbsp;Christian Vanhille","doi":"10.1016/j.wavemoti.2025.103513","DOIUrl":"10.1016/j.wavemoti.2025.103513","url":null,"abstract":"<div><div>The penetrability and directivity of ultrasound in different media is of interest in engineering and medical applications (imaging, nondestructive testing, sonochemistry, among others). The nonlinearity of a liquid can be used in the parametric antenna framework to generate low-frequency components with particular features from several ultrasonic signals at the source. Bubbly liquids are dispersive liquids in which a small amount of tiny gas bubbles leads to the increase of the nonlinear parameter of the media over certain frequency ranges. Parametric antenna applied to these huge nonlinear media give rise to low-frequency components with relatively small intensity at the source. The evolution of a low-frequency component (difference-frequency component obtained from two primary signals) during its propagation in a bubbly liquid is somehow unknown. It is thus interesting to analyze its characteristics to establish whether this component can benefit from the quality of its own frequency and from the primary frequencies, in terms of directivity and penetrability into the medium. It must be noted that no such study in bubbly liquids exists in the literature, but only for homogeneous media. The aim of this work is to fill this gap. To this end, several numerical models developed previously are used here to analyze the difference-frequency component obtained from a parametric antenna emitting from two ultrasonic signals at the source in one and two-dimensional domains. These models allow us to observe the behavior of this frequency component. An angle that measures the directivity of a beam is also defined. Our results show a point hardly found in the literature: the high directivity and the huge penetrability of the secondary beam associated to the difference-frequency component into the bubbly liquid, compared to the same frequency signal excited directly from the source in the bubbly liquid and to the parametric acoustic array in homogeneous fluids.</div></div>","PeriodicalId":49367,"journal":{"name":"Wave Motion","volume":"135 ","pages":"Article 103513"},"PeriodicalIF":2.1,"publicationDate":"2025-02-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143454566","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

{"title":"Two-colour soliton interactions in nematic liquid crystals with temperature-dependent reorientational response","authors":"Gaetano Assanto ,&nbsp;Cassandra Khan ,&nbsp;Timothy R. Marchant ,&nbsp;Noel F. Smyth ,&nbsp;Rosa Maria Vargas-Magaña","doi":"10.1016/j.wavemoti.2025.103512","DOIUrl":"10.1016/j.wavemoti.2025.103512","url":null,"abstract":"<div><div>The propagation and interaction of two optical spatial solitons, termed Nematicons, at different wavelengths in (2+1) dimensions is investigated in nematic liquid crystals exhibiting competing nonlinearities. In such soft matter the all-optical refractive index nonlocal response to extraordinarily polarized beams can be self-focusing via induced rotation of the constituent molecules and self-defocusing due to temperature increase mediated by photon absorption.</div><div>We consider wave-packets with initially straight trajectories either converging towards or diverging away from each other. The beams can converge or diverge depending on their transverse velocities at the input and other system parameters. We derive approximate variational solutions, finding that nematicons attract within a V-shaped region in the parameter space defined by their initial velocity and the defocusing coefficient. Comparisons between the approximate and full numerical solutions show an excellent agreement for initially diverging nematicons.</div></div>","PeriodicalId":49367,"journal":{"name":"Wave Motion","volume":"136 ","pages":"Article 103512"},"PeriodicalIF":2.1,"publicationDate":"2025-02-14","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143562804","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}