Wave Motion最新文献

{"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}

{"title":"Topology-optimized reflection-type pentamode metasurfaces for broadband underwater beam regulation","authors":"Sheng-Dong Zhao ,&nbsp;Yue-Sheng Wang ,&nbsp;Chuanzeng Zhang ,&nbsp;Hao-Wen Dong","doi":"10.1016/j.wavemoti.2025.103515","DOIUrl":"10.1016/j.wavemoti.2025.103515","url":null,"abstract":"<div><div>Pentamode metamaterials (PMs), a type of customizable artificial liquid-like material, consist of intricate solid microstructural units, offering promising applications in manipulating underwater waves. With their excellent acoustic impedance matching properties with water and customizable equivalent parameters, PMs can surpass the narrowband limitations and facilitate the design of broadband acoustic metasurfaces. However, due to a lack of comprehensive research on PM mechanisms, many researchers opt for conventional regular triangle lattices, limiting both structural diversity and the potential for obtaining precise equivalent parameters. In this study, we propose an inverse optimization strategy to design a series of PM units featuring square lattices. Leveraging the generalized acoustic Snell's law and impedance matching properties of PMs, we construct several reflective broadband subwavelength acoustic metasurfaces. These metasurfaces enable various functionalities based on wavefront manipulation, including an acoustic shielding device capable of converting reflected waves into surface waves across a broad frequency spectrum. Additionally, we achieve broadband anomalous reflection, achromatic focusing, and non-diffracting Bessel beams. Notably, all these achromatic functionalities exhibit relative bandwidths exceeding 100%, indicating promising application prospects.</div></div>","PeriodicalId":49367,"journal":{"name":"Wave Motion","volume":"135 ","pages":"Article 103515"},"PeriodicalIF":2.1,"publicationDate":"2025-02-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143418853","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":"Resonant line solitons and localized excitations in a (2+1)-dimensional higher-order dispersive long wave system in shallow water","authors":"Jian-Yong Wang ,&nbsp;Xiao-Yan Tang ,&nbsp;Yong Chen","doi":"10.1016/j.wavemoti.2025.103510","DOIUrl":"10.1016/j.wavemoti.2025.103510","url":null,"abstract":"<div><div>In this work, we consider a (2+1)-dimensional higher-order dispersive long wave system that models dispersive long gravity waves in shallow water of finite depth. By transforming the variable separation solution into the <span><math><mi>τ</mi></math></span>-function form, we effectively identify resonant line solitons and analyze their asymptotic behavior. Specifically, those resonant solitons include the <span><math><mrow><mo>(</mo><mn>3142</mn><mo>)</mo></mrow></math></span>-type solitons, T-type solitons, and O-type solitons in shallow water. In addition, we introduce two novel types of instanton excitations induced by dromion resonance. The first type is characterized by different growth and decay rates, while the second type exhibits an odd symmetry, described by <span><math><mrow><mi>A</mi><mrow><mo>(</mo><mo>−</mo><mi>x</mi><mo>,</mo><mi>y</mi><mo>,</mo><mo>−</mo><mi>t</mi><mo>)</mo></mrow><mo>=</mo><mo>−</mo><mi>A</mi><mrow><mo>(</mo><mi>x</mi><mo>,</mo><mi>y</mi><mo>,</mo><mi>t</mi><mo>)</mo></mrow></mrow></math></span>. These solutions are applicable to other solvable nonlinear systems using the multilinear variable separation approach. It is hoped that the study will be helpful in the analysis of dispersive long gravity waves propagating in two horizontal directions, such as resonant line solitons on fluid surfaces and hydrodynamic instantons.</div></div>","PeriodicalId":49367,"journal":{"name":"Wave Motion","volume":"135 ","pages":"Article 103510"},"PeriodicalIF":2.1,"publicationDate":"2025-02-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143419590","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 evanescent coupling in metasurface absorbers for enhanced low-frequency sound control","authors":"M. Červenka,&nbsp;M. Bednařík","doi":"10.1016/j.wavemoti.2025.103509","DOIUrl":"10.1016/j.wavemoti.2025.103509","url":null,"abstract":"<div><div>This study presents an analytical approach to model evanescent coupling in planar metasurface absorbers, specifically designed for broadband low-frequency sound absorption. While traditional absorbers rely on thick, wavelength-comparable porous materials, metasurface absorbers with deeply sub-wavelength thickness typically achieve low-frequency absorption using arrays of resonators, such as Helmholtz resonators, folded quarter-wavelength resonators, or backed micro-perforated panels. Standard surface-impedance-based models of metasurface absorbers often ignore inter-resonator coupling effects, leading to inaccuracies in frequency response predictions. Our method incorporates evanescent wave interactions between resonators, whether rectangular or circular in cross-section, arranged in regular super-cells that can repeat periodically or with mirror symmetry, which also corresponds to one super-cell placed in a rigid-walled rectangular waveguide (impedance tube). This approach reduces computational complexity significantly compared to finite element simulations, while still enabling accurate predictions of metasurface absorbing performance. Validated through comparison with two numerical finite element models, this analytical method proves effective for optimizing metasurface absorbers for low-frequency sound control. Numerical experiments further illustrate performance degradation from neglecting evanescent coupling or mismatched super-cell periodicity. Implementation MATLAB code is available on <span><span>https://github.com/MilanCervenka/Evanescent</span><svg><path></path></svg></span>.</div></div>","PeriodicalId":49367,"journal":{"name":"Wave Motion","volume":"134 ","pages":"Article 103509"},"PeriodicalIF":2.1,"publicationDate":"2025-02-08","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143386311","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 high order accurate hybrid technique for numerical solution of modified equal width equation","authors":"Emre Kirli ,&nbsp;Serpil Cikit","doi":"10.1016/j.wavemoti.2025.103508","DOIUrl":"10.1016/j.wavemoti.2025.103508","url":null,"abstract":"<div><div>In this present study, a high-order accurate hybrid technique is developed to establish the approximate solution of Modified Equal Width (MEW) equation which is used to define solitary waves. The spatial integration is based on combining the cubic B-spline and a fourth-order compact finite-difference (FOCFD) scheme , while the temporal integration is carried out by using fourth-order Runge–Kutta (RK4) scheme. In present technique, the new approximation for the spatial second derivative is constructed by the FOCFD scheme in which the spatial second derivatives of unknowns can be written in terms of the unknowns themselves and their first derivatives. Hence, the spatial second derivative reaches the accuracy of order four, while it is represented by the accuracy of order two in the standard cubic B-spline. The stability of the suggested technique is discussed by using the concept of eigenvalue. Three test problems are examined to verify the efficiency and applicability of the suggested technique. The computed results are compared with the other numerical results in previous works. The comparisons reveal that the suggested hybrid technique provides better results with high accuracy and minimum computational effort.</div></div>","PeriodicalId":49367,"journal":{"name":"Wave Motion","volume":"135 ","pages":"Article 103508"},"PeriodicalIF":2.1,"publicationDate":"2025-02-08","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143418854","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":"Numerical investigations of deep learning-assisted delamination characterization using ultrasonic guided waves","authors":"Junzhen Wang ,&nbsp;Jianmin Qu","doi":"10.1016/j.wavemoti.2025.103514","DOIUrl":"10.1016/j.wavemoti.2025.103514","url":null,"abstract":"<div><div>Ultrasonic guided waves have been applied extensively for nondestructively detecting delamination in multilayered structures. However, traditional guided-wave-based nondestructive evaluation (NDE) techniques require highly skilled users to interpret the complex wave field scattered by the delamination. To overcome this challenge, this study proposes an approach that combines a deep-learning (DL) neural network with traditional ultrasonic NDE techniques. The NDE technique used here is based on guided waves generated and received in a transmitter-receiver configuration. A 2D finite element analysis (FEA) model is constructed to simulate the guided wave interactions with a delamination between two metallic layers, which yields both the training and testing data. The tailored DL neural network is a convolutional neural network (CNN) combined with bi-directional long short-term memory (BiLSTM). This hybrid neural network is trained by a set of pulse-echo or pitch-catch time-domain data. Once trained, the DL neural network predicts the location of delamination using the recorded pulse-echo time-domain signals as input, and the length of delamination using the recoded pitch-catch time-domain as input. This process of nondestructively characterizing the location and size of delamination can be carried out automatically without the need to analyze the complex wave fields in the ultrasonic tests. The predicted results on both within-range and out-of-range unseen data demonstrate that the proposed technique has tremendous potential for characterizing delamination in practical NDE and structural health monitoring (SHM) applications.</div></div>","PeriodicalId":49367,"journal":{"name":"Wave Motion","volume":"134 ","pages":"Article 103514"},"PeriodicalIF":2.1,"publicationDate":"2025-02-08","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143386310","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}