Wave MotionPub Date : 2025-03-18DOI: 10.1016/j.wavemoti.2025.103541
P.D.S de Lima , E.C.M. Tinoco , M.P.M. de Sousa , J.M. de Araújo , F.A.L. Santiago , C.H.O. Costa , C.G. Bezerra
{"title":"Transmission properties of Kolakoski aperiodic phononic crystals","authors":"P.D.S de Lima , E.C.M. Tinoco , M.P.M. de Sousa , J.M. de Araújo , F.A.L. Santiago , C.H.O. Costa , 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}
Wave MotionPub Date : 2025-03-17DOI: 10.1016/j.wavemoti.2025.103543
Hao Li , Cheng Zhang , Yudong Han
{"title":"Bucking and free vibration characteristics of smart hybrid sandwich plate via spatial state-space approach","authors":"Hao Li , Cheng Zhang , 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 , Souleymanou Abbagari , Lanre Akinyemi , 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}
Wave MotionPub Date : 2025-03-07DOI: 10.1016/j.wavemoti.2025.103539
Qiang Li , Bowen Wei
{"title":"Vibration control of functionally graded composite annular plates reinforced with graphene origami-enabled auxetic metamaterials with piezoelectric layers","authors":"Qiang Li , 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 (<1 %) minimally impact the dynamics, while >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}
Wave MotionPub Date : 2025-03-03DOI: 10.1016/j.wavemoti.2025.103531
Tong Zhou
{"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}
Wave MotionPub Date : 2025-03-01DOI: 10.1016/j.wavemoti.2025.103530
Magdalini Koukouraki , Philippe Petitjeans , Agnès Maurel , Vincent Pagneux
{"title":"Floquet scattering of shallow water waves by a vertically oscillating plate","authors":"Magdalini Koukouraki , Philippe Petitjeans , Agnès Maurel , 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}
Wave MotionPub Date : 2025-02-27DOI: 10.1016/j.wavemoti.2025.103529
P. Broadbridge , J.M. Goard
{"title":"A conditionally integrable non-reciprocal wave equation with diode properties","authors":"P. Broadbridge , 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}
Wave MotionPub Date : 2025-02-26DOI: 10.1016/j.wavemoti.2025.103526
Zhonglong Zhao, Yu Wang
{"title":"N-periodic wave solutions of the (2+1)-dimensional integrable nonlocal nonlinear Schrödinger equations","authors":"Zhonglong Zhao, 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}
Wave MotionPub Date : 2025-02-24DOI: 10.1016/j.wavemoti.2025.103527
Sabiju Valiya Valappil , Alejandro M. Aragón
{"title":"Analytical modeling of damped locally-resonant metamaterials","authors":"Sabiju Valiya Valappil , 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}
Wave MotionPub Date : 2025-02-24DOI: 10.1016/j.wavemoti.2025.103528
Ali Ihsan Adham, Vladislav Sorokin, Brian Mace, Andrew Hall
{"title":"Broadband vibration isolation in a finite elastic rod with tailored resonators","authors":"Ali Ihsan Adham, Vladislav Sorokin, Brian Mace, 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}