Wave Motion最新文献

{"title":"Persistence of integrable wave dynamics in the Discrete Gross–Pitaevskii equation: The focusing case","authors":"G. Fotopoulos ,&nbsp;N.I. Karachalios ,&nbsp;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}

{"title":"New exact solutions of the (3+1)-dimensional defocusing Gardner–KP equation using Lie symmetry analysis","authors":"Yongxin Liu,&nbsp;Jinyu Wu,&nbsp;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}

{"title":"Novel soliton motion with time-varying wave-width and amplitude as well as velocity through a reverse-space-time nonlocal variable-coefficient mKdV equation","authors":"Xianghui Wang,&nbsp;Sheng Zhang","doi":"10.1016/j.wavemoti.2025.103558","DOIUrl":"10.1016/j.wavemoti.2025.103558","url":null,"abstract":"&lt;div&gt;&lt;div&gt;Nonlocal integrable systems have received widespread attention because of their special physical effects. In this article, we present a novel reverse-space-time nonlocal variable-coefficient mKdV (RSTVmKdV) equation and reveal its &lt;em&gt;N&lt;/em&gt;-soliton solution by Riemann–Hilbert (RH) method. We notice that the revealed soliton solutions are tilted and exhibit the following behavioral characteristics: their wave width, amplitude, and velocity vary over time. This is novel for the isospectral soliton equation. In terms of specific content, firstly, we give the Lax pair of a system of coupled mKdV equations with time-varying coefficients and construct the related solvable RH problem. Then, we analyze the symmetry of eigenvalues &lt;span&gt;&lt;math&gt;&lt;mrow&gt;&lt;mi&gt;η&lt;/mi&gt;&lt;mo&gt;∈&lt;/mo&gt;&lt;msub&gt;&lt;mi&gt;C&lt;/mi&gt;&lt;mo&gt;+&lt;/mo&gt;&lt;/msub&gt;&lt;/mrow&gt;&lt;/math&gt;&lt;/span&gt; and &lt;span&gt;&lt;math&gt;&lt;mrow&gt;&lt;mover&gt;&lt;mi&gt;η&lt;/mi&gt;&lt;mo&gt;¯&lt;/mo&gt;&lt;/mover&gt;&lt;mo&gt;∈&lt;/mo&gt;&lt;msub&gt;&lt;mi&gt;C&lt;/mi&gt;&lt;mo&gt;−&lt;/mo&gt;&lt;/msub&gt;&lt;/mrow&gt;&lt;/math&gt;&lt;/span&gt;. Finally, we derive the general formula for the &lt;em&gt;N&lt;/em&gt;-soliton solution and the specific expression for single soliton solution of the RSTVmKdV equation. Through mathematical analysis and simulation, we find that when the related eigenvalues &lt;span&gt;&lt;math&gt;&lt;msub&gt;&lt;mi&gt;η&lt;/mi&gt;&lt;mn&gt;1&lt;/mn&gt;&lt;/msub&gt;&lt;/math&gt;&lt;/span&gt; and &lt;span&gt;&lt;math&gt;&lt;msub&gt;&lt;mover&gt;&lt;mi&gt;η&lt;/mi&gt;&lt;mo&gt;¯&lt;/mo&gt;&lt;/mover&gt;&lt;mn&gt;1&lt;/mn&gt;&lt;/msub&gt;&lt;/math&gt;&lt;/span&gt; are not conjugate, the single-soliton solution depicted is not symmetric, and when &lt;span&gt;&lt;math&gt;&lt;mrow&gt;&lt;mrow&gt;&lt;mo&gt;|&lt;/mo&gt;&lt;/mrow&gt;&lt;msub&gt;&lt;mi&gt;η&lt;/mi&gt;&lt;mn&gt;1&lt;/mn&gt;&lt;/msub&gt;&lt;mrow&gt;&lt;mo&gt;|&lt;/mo&gt;&lt;mo&gt;&lt;&lt;/mo&gt;&lt;mo&gt;|&lt;/mo&gt;&lt;/mrow&gt;&lt;msub&gt;&lt;mover&gt;&lt;mi&gt;η&lt;/mi&gt;&lt;mo&gt;¯&lt;/mo&gt;&lt;/mover&gt;&lt;mn&gt;1&lt;/mn&gt;&lt;/msub&gt;&lt;mrow&gt;&lt;mo&gt;|&lt;/mo&gt;&lt;/mrow&gt;&lt;/mrow&gt;&lt;/math&gt;&lt;/span&gt;, the soliton tilts towards the negative &lt;em&gt;x&lt;/em&gt;-axis, while when &lt;span&gt;&lt;math&gt;&lt;mrow&gt;&lt;mrow&gt;&lt;mo&gt;|&lt;/mo&gt;&lt;/mrow&gt;&lt;msub&gt;&lt;mi&gt;η&lt;/mi&gt;&lt;mn&gt;1&lt;/mn&gt;&lt;/msub&gt;&lt;mrow&gt;&lt;mo&gt;|&lt;/mo&gt;&lt;mo&gt;&gt;&lt;/mo&gt;&lt;mo&gt;|&lt;/mo&gt;&lt;/mrow&gt;&lt;msub&gt;&lt;mover&gt;&lt;mi&gt;η&lt;/mi&gt;&lt;mo&gt;¯&lt;/mo&gt;&lt;/mover&gt;&lt;mn&gt;1&lt;/mn&gt;&lt;/msub&gt;&lt;mrow&gt;&lt;mo&gt;|&lt;/mo&gt;&lt;/mrow&gt;&lt;/mrow&gt;&lt;/math&gt;&lt;/span&gt;, the soliton tilts towards the positive &lt;em&gt;x&lt;/em&gt;-axis. In addition, &lt;span&gt;&lt;math&gt;&lt;mrow&gt;&lt;mi&gt;α&lt;/mi&gt;&lt;mo&gt;(&lt;/mo&gt;&lt;mi&gt;t&lt;/mi&gt;&lt;mo&gt;)&lt;/mo&gt;&lt;/mrow&gt;&lt;/math&gt;&lt;/span&gt; and &lt;span&gt;&lt;math&gt;&lt;mrow&gt;&lt;mi&gt;β&lt;/mi&gt;&lt;mo&gt;(&lt;/mo&gt;&lt;mi&gt;t&lt;/mi&gt;&lt;mo&gt;)&lt;/mo&gt;&lt;/mrow&gt;&lt;/math&gt;&lt;/span&gt; affect the amplitude of solitons in the case of &lt;span&gt;&lt;math&gt;&lt;mrow&gt;&lt;mrow&gt;&lt;mo&gt;|&lt;/mo&gt;&lt;/mrow&gt;&lt;msub&gt;&lt;mi&gt;η&lt;/mi&gt;&lt;mn&gt;1&lt;/mn&gt;&lt;/msub&gt;&lt;mrow&gt;&lt;mo&gt;|&lt;/mo&gt;&lt;mo&gt;≠&lt;/mo&gt;&lt;mo&gt;|&lt;/mo&gt;&lt;/mrow&gt;&lt;msub&gt;&lt;mover&gt;&lt;mi&gt;η&lt;/mi&gt;&lt;mo&gt;¯&lt;/mo&gt;&lt;/mover&gt;&lt;mn&gt;1&lt;/mn&gt;&lt;/msub&gt;&lt;mrow&gt;&lt;mo&gt;|&lt;/mo&gt;&lt;/mrow&gt;&lt;/mrow&gt;&lt;/math&gt;&lt;/span&gt;, while &lt;span&gt;&lt;math&gt;&lt;mrow&gt;&lt;mi&gt;α&lt;/mi&gt;&lt;mo&gt;(&lt;/mo&gt;&lt;mi&gt;t&lt;/mi&gt;&lt;mo&gt;)&lt;/mo&gt;&lt;/mrow&gt;&lt;/math&gt;&lt;/span&gt;, &lt;span&gt;&lt;math&gt;&lt;mrow&gt;&lt;mi&gt;β&lt;/mi&gt;&lt;mo&gt;(&lt;/mo&gt;&lt;mi&gt;t&lt;/mi&gt;&lt;mo&gt;)&lt;/mo&gt;&lt;/mrow&gt;&lt;/math&gt;&lt;/span&gt;, and &lt;span&gt;&lt;math&gt;&lt;mrow&gt;&lt;mi&gt;γ&lt;/mi&gt;&lt;mo&gt;(&lt;/mo&gt;&lt;mi&gt;t&lt;/mi&gt;&lt;mo&gt;)&lt;/mo&gt;&lt;/mrow&gt;&lt;/math&gt;&lt;/span&gt; affect the wave width, speed, and propagation direction of solitons. The results indicate that the method proposed in this paper can be used to derive and solve other reverse-space-time nonlocal integrable systems with time-varying coefficients and explore their rich soliton behavior.&lt;/div&gt;&lt;/di","PeriodicalId":49367,"journal":{"name":"Wave Motion","volume":"137 ","pages":"Article 103558"},"PeriodicalIF":2.1,"publicationDate":"2025-04-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143815989","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":"Study of lamb wave hybrid imaging technology in high noise environments","authors":"Yun Chen ,&nbsp;Gaoping Wang ,&nbsp;Zhiyuan Li","doi":"10.1016/j.wavemoti.2025.103548","DOIUrl":"10.1016/j.wavemoti.2025.103548","url":null,"abstract":"<div><div>Ultrasonic Lamb waves often face challenges in extracting valid signals due to environmental noise when detecting damage in composite materials. Additionally, the presence of excessive invalid data can significantly reduce detection efficiency. To solve this issue, a hybrid damage detection method, based on box-counting dimensions and optimized path probabilistic imaging (OPPIBCD), is proposed for use in noisy environments. A damage detection platform is established, with sensors evenly arranged in a circular grid on a composite material plate to simulate real damage through bonded mass blocks. Experimental results indicate that, in high-noise environments, the detection efficiency for single and multiple damage imaging paths improves by 80 % and 65 %, respectively, with maximum errors of 8 mm and 11 mm. The proposed method does not require signal denoising techniques and can directly use the collected noisy signals for damage detection, achieving both high efficiency and accuracy.</div></div>","PeriodicalId":49367,"journal":{"name":"Wave Motion","volume":"138 ","pages":"Article 103548"},"PeriodicalIF":2.1,"publicationDate":"2025-04-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143834872","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":"Surface disturbances of fluid due to vertical surface-piercing cylinder","authors":"Martin Kocan ,&nbsp;Douglas A. Potts ,&nbsp;Jonathan R. Binns ,&nbsp;Alexei T. Skvortsov","doi":"10.1016/j.wavemoti.2025.103550","DOIUrl":"10.1016/j.wavemoti.2025.103550","url":null,"abstract":"<div><div>Studying the profile of fluid surfaces caused by a vertical surface-piercing cylinder has a long history. First results date back to the seminal work of Lord Kelvin. This problem still presents a challenge for analytical treatment and requires advanced computational tools and sophisticated experimental facilities. Our study proposes a simplified physics-based model for the estimation of the bow wave run-up on the front of a vertical surface-piercing cylinder and the calculation of gravity–capillary waves in steady flows at high Froude numbers. The model assumes conservation of momentum of the surface-piercing cylinder being transferred to the free surface of the fluid and the effects of gravity, capillarity and viscosity for the computation of the fluid motion around the cylinder. The model is validated against experiments performed in a towing tank for different cylinder diameters and results from previous studies.</div></div>","PeriodicalId":49367,"journal":{"name":"Wave Motion","volume":"137 ","pages":"Article 103550"},"PeriodicalIF":2.1,"publicationDate":"2025-04-04","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143821242","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":"Rogue waves of the Kraenkel–Manna–Merle system on a periodic background","authors":"Chun Chang,&nbsp;Zhaqilao","doi":"10.1016/j.wavemoti.2025.103545","DOIUrl":"10.1016/j.wavemoti.2025.103545","url":null,"abstract":"<div><div>In this paper, we summarize the construction of rogue wave solutions for the Kraenkel–Manna–Merle system on the background of Jacobian elliptic dn- and cn-periodic waves. Our approach involved nonlinearizing the Lax pair to derive eigenvalues and eigenfunctions, introducing periodic and non-periodic solutions of the Lax pair, and utilizing the Darboux transformation to establish potential relations. Consequently, we obtain periodic rogue wave solutions and conducted a nonlinear dynamics analysis, revealing significant insights into the behavior of the Kraenkel–Manna–Merle system. A rogue wave on a skewed periodic wave background is obtained which is a novel phenomenon in the nonlinear system.</div></div>","PeriodicalId":49367,"journal":{"name":"Wave Motion","volume":"137 ","pages":"Article 103545"},"PeriodicalIF":2.1,"publicationDate":"2025-03-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143760967","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":"Fourth-order Stokes theory for capillary–gravity waves in arbitrary water depth on linear shear currents","authors":"Suman Mukherjee,&nbsp;Sourav Halder,&nbsp;A.K. Dhar","doi":"10.1016/j.wavemoti.2025.103546","DOIUrl":"10.1016/j.wavemoti.2025.103546","url":null,"abstract":"<div><div>In this paper the two-dimensional steady surface capillary–gravity waves, incorporating the effects of linear shear currents, is studied in water of constant depth. Herein, linear shear currents are considered to be a linear combination of depth-uniform current and uniform vorticity. Employing an excellent Stokes expansion method, where the expansion parameter represents the wave steepness itself, a fourth-order perturbation series solution for plane progressive waves is developed. The key results of this work are (a) to find the influence of both co-flowing and counter-flowing currents on the wave profiles using the fourth-order approximation (b) the strong dependence of the wave velocity on both the magnitudes of the shear and depth-uniform current, (c) the Wilton singularities in the Stokes expansion in powers of wave amplitude due to a inverse Bond number of <span><math><mrow><mn>1</mn><mo>/</mo><mn>2</mn></mrow></math></span>, <span><math><mrow><mn>1</mn><mo>/</mo><mn>3</mn></mrow></math></span> and <span><math><mrow><mn>1</mn><mo>/</mo><mn>4</mn></mrow></math></span>, which are the results of the non-uniformity in the ordering of the Fourier coefficients are observed to be influenced by vorticity and depth-uniform current, (d) distinct surface profiles of capillary–gravity waves are obtained and the effects of depth-uniform currents on these profiles are described. This analysis also shows that for any given value of the water depth, there exist a threshold value of the vorticity above which no resonances occur. For the steepest waves considered in this analysis, it is observed that when the wavenumber is not in the vicinity of certain critical values, determined by the depth and the vorticity, the present fourth-order analysis shows significant deviations on the surface profiles from the third-order analysis and provides better results consistent with the exact numerical results.</div></div>","PeriodicalId":49367,"journal":{"name":"Wave Motion","volume":"137 ","pages":"Article 103546"},"PeriodicalIF":2.1,"publicationDate":"2025-03-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143747353","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":"On the proximity of Ablowitz–Ladik and discrete nonlinear Schrödinger models: A theoretical and numerical study of Kuznetsov-Ma solutions","authors":"Madison L. Lytle ,&nbsp;Efstathios G. Charalampidis ,&nbsp;Dionyssios Mantzavinos ,&nbsp;Jesus Cuevas-Maraver ,&nbsp;Panayotis G. Kevrekidis ,&nbsp;Nikos I. Karachalios","doi":"10.1016/j.wavemoti.2025.103547","DOIUrl":"10.1016/j.wavemoti.2025.103547","url":null,"abstract":"<div><div>In this work, we investigate the formation of time-periodic solutions with a non-zero background that emulate rogue waves, known as Kuznetsov-Ma (KM) breathers, in physically relevant lattice nonlinear dynamical systems. Starting from the completely integrable Ablowitz–Ladik (AL) model, we demonstrate that the evolution of KM initial data is proximal to that of the non-integrable discrete Nonlinear Schrödinger (DNLS) equation for certain parameter values of the background amplitude and breather frequency. This finding prompts us to investigate the distance (in certain norms) between the evolved solutions of both models, for which we rigorously derive and numerically confirm an upper bound. Finally, our studies are complemented by a two-parameter (background amplitude and frequency) bifurcation analysis of numerically exact, KM-type breather solutions of the DNLS equation. Alongside the stability analysis of these waveforms reported herein, this work additionally showcases potential parameter regimes where such waveforms with a flat background may emerge in the DNLS setting.</div></div>","PeriodicalId":49367,"journal":{"name":"Wave Motion","volume":"137 ","pages":"Article 103547"},"PeriodicalIF":2.1,"publicationDate":"2025-03-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143767516","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":"Structural-acoustic analysis of partially submerged laminated composite cylinders containing partially filled fluid: Considering transverse shear deformation","authors":"M. Montasheri,&nbsp;A. Tarkashvand,&nbsp;K. Daneshjou","doi":"10.1016/j.wavemoti.2025.103549","DOIUrl":"10.1016/j.wavemoti.2025.103549","url":null,"abstract":"<div><div>This study investigates the vibroacoustic behavior of a partially submerged laminated composite cylindrical shell containing a partially filled fluid. In this study, three different coordinate systems are employed: one focusing on structural dynamics, while the other two are used to calculate the expression for acoustic pressure radiation within the external and internal fluids. By utilizing the coordinates related to acoustic pressure, the study obtains a sine series expression for the sound pressure to satisfy the boundary condition on the free surface of both the internal and external acoustic media. As the cylindrical structure experiences transverse shear deformation, the First-Order Shear Deformation Theory (FSDT) is applied to simulate the dynamic behavior of the composite shell. Additionally, the study examines fluid-structure compatibility at the interface, establishing a relationship between the sound pressure radiation in the acoustic medium and the structure's vibration. Finally, by utilizing the Galerkin method, the frequency responses of the vibroacoustic behavior are obtained. The numerical results illustrate how various acoustical and structural parameters affect vibroacoustic behavior. These parameters include the nondimensional fluid height inside and around the composite structure, the material of the composite layers, and different stacking sequences of symmetric and anti-symmetric laminated composites. Furthermore, the study presents contour plots of sound pressure, offering insights into the wavelengths of acoustic pressure at different frequencies and load distribution angles.</div></div>","PeriodicalId":49367,"journal":{"name":"Wave Motion","volume":"137 ","pages":"Article 103549"},"PeriodicalIF":2.1,"publicationDate":"2025-03-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143767515","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 waveguide finite element model with geometric nonlinearity and orthotropy to analyse broadband vibrations in a reinforced radial tyre","authors":"Madhavrao Londhe ,&nbsp;Rahul Oorath ,&nbsp;Chirag Patel ,&nbsp;Nachiketa Tiwari","doi":"10.1016/j.wavemoti.2025.103544","DOIUrl":"10.1016/j.wavemoti.2025.103544","url":null,"abstract":"<div><div>In this work, we present a Waveguide Finite Element (WFE) model to predict the dynamic response of tyres, especially at high frequencies. The model developed here offers significant improvements over earlier ones as it accounts for geometric nonlinearities, material anisotropy, a multi-layered structure of the tyre, and prestress due to inflation pressure. Our formulation adopts a Total Lagrangian approach to establish the weak form of equilibrium equations, utilising the initial undeformed state as a reference frame. Further, we have linearised the problem using the Newton-Raphson iterative approach. The WFE method is then applied to formulate a linear eigenvalue problem corresponding to a given wavenumber. Forced vibration analysis is facilitated by using a proportional viscous damping model, enabling the assignment of damping factors to each natural mode while maintaining the symmetry of the undamped problem. The model developed was duly validated against results from a 3D FEA (Finite Element Analysis) model developed in commercial FEA software. Such validation exercises were conducted for both statically loaded and dynamically loaded tyres. Finally, the application of the waveguide finite element model is demonstrated through a case study involving vibration analysis of an inflated tyre. As part of this analysis, we carefully examined the FRF response and the dispersion diagram of the tyre. While the former helped us understand the tyre behaviour at low frequencies, the latter was found to be very useful for understanding wave propagation in the tyre at higher frequencies. Our investigation clearly shows that the WFE model developed in this work can be a very useful tool in designing tyres with better vibrational attributes speedily.</div></div>","PeriodicalId":49367,"journal":{"name":"Wave Motion","volume":"137 ","pages":"Article 103544"},"PeriodicalIF":2.1,"publicationDate":"2025-03-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143808337","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}