Wave Motion最新文献

{"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}

{"title":"Impact of directional spreading on nonlinear KdV-soliton spectra in intermediate water","authors":"Yu-Chen Lee ,&nbsp;Sander Wahls","doi":"10.1016/j.wavemoti.2025.103542","DOIUrl":"10.1016/j.wavemoti.2025.103542","url":null,"abstract":"<div><div>The Korteweg–De Vries (KdV) equation is a partial differential equation used to describe the dynamics of water waves under the assumptions of shallow water, unidirectionality, weak nonlinearity and constant depth. It can be solved analytically with a suitable nonlinear Fourier transform (NFT). The NFT for the KdV equation is subsequently referred to as the KdV-NFT. The soliton part of the nonlinear Fourier spectrum provides valuable insights into the nonlinear evolution of waveforms by exposing the amplitudes and velocities of potentially hidden solitonic components. Under the KdV equation, the nonlinear spectrum evolves trivially according to simple analytic rules. This in particular reflects that solitons are conserved by the KdV equation. However, in reality, the nonlinear spectrum will change during evolution due to deviations from the KdV equation. For example, waves in the ocean are typically multi-directional. Furthermore, the water depth may range into the intermediate regime, e.g. depending on tides and peak periods. It is therefore uncertain how long the nonlinear spectrum of real-world data remains representative. In particular, it is unclear how stable the detected soliton components are during evolution. To assess the effectiveness of the KdV-NFT in representing water wave dynamics under non-ideal conditions, we generated numerical sea states with varying directional spreading in intermediate water (<span><math><mrow><mi>k</mi><mi>h</mi><mo>=</mo><mn>1</mn><mo>.</mo><mn>036</mn></mrow></math></span>) using the High-Order Spectral Ocean (HOS-Ocean) model for nonlinear evolution. After applying the NFT to space series extracted from these evolving directional wave fields, we observe that the KdV-soliton spectra from the NFT are quite stable for cases with small directional spreading. We in particular observe that the largest soliton amplitude is (sometimes dramatically) more stable than the amplitude of the largest linear mode. For large directional spreading, the applicability is limited to short propagation times and distances, respectively.</div></div>","PeriodicalId":49367,"journal":{"name":"Wave Motion","volume":"137 ","pages":"Article 103542"},"PeriodicalIF":2.1,"publicationDate":"2025-03-19","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143696980","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":"Transmission properties of Kolakoski aperiodic phononic crystals","authors":"P.D.S de Lima ,&nbsp;E.C.M. Tinoco ,&nbsp;M.P.M. de Sousa ,&nbsp;J.M. de Araújo ,&nbsp;F.A.L. Santiago ,&nbsp;C.H.O. Costa ,&nbsp;C.G. Bezerra","doi":"10.1016/j.wavemoti.2025.103541","DOIUrl":"10.1016/j.wavemoti.2025.103541","url":null,"abstract":"<div><div>We employ a transfer-matrix treatment to investigate the transmission, dispersion relation and localization properties of one-dimensional aperiodic phononic crystals based on the Kolakoski sequence. We consider three structural modifications (duplication, mirror, and conjugation) in lead-epoxy-composed materials embedded within an aluminium matrix. Our numerical experiments focus on longitudinal elastic wave propagation in an ultrasound frequency regime for different incident angles. The number of perfect transmission peaks and the band gaps distribution sensibly varies for the modified arrangements. In particular, mirrored structures favour the appearance of perfect transmission peaks, while narrower band gaps are present in conjugated ones. Our results pave out technological applications of this new aperiodic sequence on the phononic device design.</div></div>","PeriodicalId":49367,"journal":{"name":"Wave Motion","volume":"136 ","pages":"Article 103541"},"PeriodicalIF":2.1,"publicationDate":"2025-03-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143681865","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":"Bucking and free vibration characteristics of smart hybrid sandwich plate via spatial state-space approach","authors":"Hao Li ,&nbsp;Cheng Zhang ,&nbsp;Yudong Han","doi":"10.1016/j.wavemoti.2025.103543","DOIUrl":"10.1016/j.wavemoti.2025.103543","url":null,"abstract":"<div><div>While carbon nanotubes (CNT)- and graphene nanoplatelets (GNPs)-reinforced composites have been widely studied, hybrid nanocomposites are less explored. Polyurethane (PU) foams, valued for their low density and cost-effectiveness, face mechanical limitations, prompting nanoparticle reinforcement. This study investigates, for the first time, the buckling and vibration properties of PU matrices reinforced with multi-walled carbon nanotubes (MWCNTs), GNPs, and their hybrid combinations. This hybrid composite plate integrates two layers of piezoelectric sensors and actuators. The dynamics behavior of the system is modeled using linear three-dimensional piezo-elasticity theory. Through dual transformation pairs, the equations are converted into two decoupled, lower-order spatial state-space systems that describe both the plate's planar and transverse mechanical behaviors. Additionally, various parametric studies are conducted for the first time to explore the impacts of different ratios of MWCNT:GNP, different flake sizes of GNP, MWCNT aspect ratios, weight fractions of nanofillers, reinforced patterns, dimension ratios of the plate, electrical boundary conditions, and various boundary conditions for the edge of the plate on the natural frequency and buckling properties of hybrid smart composites. The results show that natural frequency and buckling load in PU nanocomposites rise with nanofiller weight fraction, peaking with FG-GNP24 at 1.0 wt% featuring 3.5 % and 6.2 % gains for frequency and buckling, respectively. Hybrid MWCNT-GNP systems excel at specific ratios: 5:1 (MWCNT-GNP1.5) surpasses single fillers, while 1:1 (MWCNT-GNP5) performs best at 0.25–0.5 wt%. Open-circuit piezoelectric configurations outperform closed-circuit. X-O nanofiller patterns optimize frequency in MWCNT-GNP24 composites (8:2, 5:1 ratios), while uniform distributions maximize buckling resistance.</div></div>","PeriodicalId":49367,"journal":{"name":"Wave Motion","volume":"137 ","pages":"Article 103543"},"PeriodicalIF":2.1,"publicationDate":"2025-03-17","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143705952","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":"Vector solitons and localized waves of two coupled nonlinear Schrödinger equations in the nonlinear electrical transmission line lattice","authors":"Alphonse Houwe ,&nbsp;Souleymanou Abbagari ,&nbsp;Lanre Akinyemi ,&nbsp;Serge Yamigno Doka","doi":"10.1016/j.wavemoti.2025.103540","DOIUrl":"10.1016/j.wavemoti.2025.103540","url":null,"abstract":"<div><div>The study examines modulation instability and localized wave structures in a nonlinear electrical transmission line with next-neighbor couplings. By employing an expansion method, coupled nonlinear Schrödinger equations are derived to analyze the system. The influence of next-neighbor coupling on the perturbed plane wave is highlighted, demonstrating unstable modes arising from modulation instability. Notably, a stronger next-neighbor coupling significantly enhances the amplitude of modulation instability, confirming that the nonlinear electrical lattice supports localized nonlinear waves. Analytical analysis, considering the self-phase modulation parameter, reveals the existence of three types of coupled soliton modes: bright-bright solitons, dark-bright solitons, and bright-dark solitons, influenced by the nearest neighbor coupling. Numerical simulations further illustrate the development of modulation instability through modulated wave patterns. Additionally, at a specific propagation time, another structure is identified, confirming the formation of rogue waves with crests and troughs in the network. These wave phenomena are characteristic of nonlinear systems where dispersion and nonlinearity interact.</div></div>","PeriodicalId":49367,"journal":{"name":"Wave Motion","volume":"136 ","pages":"Article 103540"},"PeriodicalIF":2.1,"publicationDate":"2025-03-14","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143631921","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":"Vibration control of functionally graded composite annular plates reinforced with graphene origami-enabled auxetic metamaterials with piezoelectric layers","authors":"Qiang Li ,&nbsp;Bowen Wei","doi":"10.1016/j.wavemoti.2025.103539","DOIUrl":"10.1016/j.wavemoti.2025.103539","url":null,"abstract":"<div><div>This study explores the dynamic response and active vibration control (AVC) of an annular copper plate reinforced with graphene origami (GOri) auxetic metamaterials and integrated piezoelectric layers, under transverse mechanical shock. The governing equations are derived using Hamilton's principle and solved using the finite element method (FEM) and the Newmark algorithm. A parametric analysis examines the effects of GOri parameters, geometry, and boundary conditions on the dynamics. A low GOri mass fractions (&lt;1 %) minimally impact the dynamics, while &gt;2 % improves stiffness. The X-pattern optimally distributes the load, and a high folding degree has a varying impact depending on its distribution. The proposed control system, featuring a nonlinear fuzzy proportional–integral (PI) controller with adaptive gains cascaded with a proportional–integral–derivative (PID) controller, is compared to a velocity feedback system for vibration reduction. The proposed controller reduces maximum deflection by 80.39 %, outperforming the velocity feedback system (68.15 %). It also achieves a 48.4 % improvement in the integrated absolute error (IAE) index.</div></div>","PeriodicalId":49367,"journal":{"name":"Wave Motion","volume":"136 ","pages":"Article 103539"},"PeriodicalIF":2.1,"publicationDate":"2025-03-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143681864","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 nonlocal matrix Hirota equation with complex parity symmetry: Integrability, Darboux transformation and exact solutions","authors":"Tong Zhou","doi":"10.1016/j.wavemoti.2025.103531","DOIUrl":"10.1016/j.wavemoti.2025.103531","url":null,"abstract":"<div><div>In this work, a nonlocal matrix Hirota equation with complex parity symmetry and its corresponding Lax pair are introduced from AKNS-type spectral problem with matrix potential functions, and the integrability in the sense of infinitely many conservation laws is confirmed. For this nonlocal matrix integrable equation, the author constructs the Darboux transformation of related spectral problem, studies several types of matrix exact solutions by taking different groups of seed solutions and spectral parameters, and investigates the dynamical properties of these exact solutions.</div></div>","PeriodicalId":49367,"journal":{"name":"Wave Motion","volume":"136 ","pages":"Article 103531"},"PeriodicalIF":2.1,"publicationDate":"2025-03-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143549652","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}