Wave Motion最新文献_第9页

Analysis of nonlinear wave propagation within architected materials consisting of nonlinear Timoshenko beam structural elements 由非线性季莫申科梁结构元素组成的建筑材料内的非线性波传播分析

IF 2.4 3区物理与天体物理

Wave Motion Pub Date : 2024-05-08 DOI: 10.1016/j.wavemoti.2024.103344

Abdallah Wazne , Hilal Reda , Jean-François Ganghoffer , Hassan Lakiss

{"title":"Analysis of nonlinear wave propagation within architected materials consisting of nonlinear Timoshenko beam structural elements","authors":"Abdallah Wazne , Hilal Reda , Jean-François Ganghoffer , Hassan Lakiss","doi":"10.1016/j.wavemoti.2024.103344","DOIUrl":"10.1016/j.wavemoti.2024.103344","url":null,"abstract":"<div><p>In the present work, a full nonlinear Timoshenko beam employing nonlinear shape functions is developed. The extended Hamilton principle is employed for deriving the differential equations of motion and the associated boundary conditions. The general form of the boundary conditions is then utilized to determine the static solution of the beam motion. Using this solution for the deformation and rotation of the beam, the nonlinear shape functions of the beam are identified, which leads to the linear and nonlinear mass and stiffness matrices of the Timoshenko beam element. The nonlinear dispersion diagram incorporating the non-linear corrections is obtained using the Linstedt–Poincaré perturbation method. An analysis of the effect of internal transverse shear and bending on the nonlinear dispersion characteristics of wave propagation in two-dimensional periodic network materials made of nonlinear Timoshenko beams is done. The formulated theory shows that the percentage of correction factor of the nonlinear kinematics versus the linear dynamical behavior is inversely proportional to the frequency amplitude. The shear and extension modes are shown to have the higher effect in the non-linear correction term in comparison to the flexural mode.</p></div>","PeriodicalId":49367,"journal":{"name":"Wave Motion","volume":"130 ","pages":"Article 103344"},"PeriodicalIF":2.4,"publicationDate":"2024-05-08","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141042395","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}

引用次数: 0

Surface acoustic waves in laterally periodic superlattices 横向周期超晶格中的表面声波

IF 2.4 3区物理与天体物理

Wave Motion Pub Date : 2024-05-07 DOI: 10.1016/j.wavemoti.2024.103331

A.L. Shuvalov

{"title":"Surface acoustic waves in laterally periodic superlattices","authors":"A.L. Shuvalov","doi":"10.1016/j.wavemoti.2024.103331","DOIUrl":"10.1016/j.wavemoti.2024.103331","url":null,"abstract":"<div><p>The existence of surface acoustic waves (SAWs) is studied in laterally periodic superlattices, modelled as an anisotropic elastic half-space with an arbitrary periodic variation of its material properties along the stratification direction (call it X) parallel to the surface. Unlike a homogeneous half-space, such a structure allows for more than one (dispersive) SAW. Specifically, it is shown that any superlattice with a generic shape of periodicity profile admits at most three SAW dispersion branches <span><math><mrow><mi>ω</mi><mrow><mo>(</mo><msub><mrow><mi>K</mi></mrow><mrow><mi>x</mi></mrow></msub><mo>)</mo></mrow></mrow></math></span>, i.e., at most three different SAW frequencies at any fixed Bloch wavenumber <span><math><msub><mrow><mi>K</mi></mrow><mrow><mi>x</mi></mrow></msub></math></span>. Moreover, the total number of SAWs at fixed <span><math><msub><mrow><mi>K</mi></mrow><mrow><mi>x</mi></mrow></msub></math></span> in a pair of superlattices with periodicity profiles obtained from one another by the inversion of the axis X cannot exceed three either. At least one SAW branch must exist in one of these two superlattices unless the bulk-wave threshold is the so-called exceptional (i.e., admits surface skimming wave). The SAW branch is unique in the particular case of a superlattice invariant to the inversion <span><math><mrow><mi>X</mi><mo>→</mo><mo>−</mo><mi>X</mi></mrow></math></span>. The above general results are illustrated by the perturbation theory derivations for the weakly modulated superlattices. Explicit leading-order formulas are obtained for the quasi-Rayleigh wave branch evolving from the Rayleigh wave in each of the mutually ”inverse” superlattices and for the quasibulk wave branch evolving from the exceptional bulk-wave threshold in one of the superlattices.</p></div>","PeriodicalId":49367,"journal":{"name":"Wave Motion","volume":"129 ","pages":"Article 103331"},"PeriodicalIF":2.4,"publicationDate":"2024-05-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://www.sciencedirect.com/science/article/pii/S0165212524000611/pdfft?md5=efbd7fd367d457e8d07409ef4226d65c&pid=1-s2.0-S0165212524000611-main.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141027875","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}

引用次数: 0

A novel perspective for simulations of the Modified Equal-Width Wave equation by cubic Hermite B-spline collocation method 用立方赫尔墨特 B 样条法模拟修正等宽波方程的新视角

IF 2.4 3区物理与天体物理

Wave Motion Pub Date : 2024-05-06 DOI: 10.1016/j.wavemoti.2024.103342

Selçuk Kutluay, Nuri Murat Yağmurlu, Ali Sercan Karakaş

{"title":"A novel perspective for simulations of the Modified Equal-Width Wave equation by cubic Hermite B-spline collocation method","authors":"Selçuk Kutluay, Nuri Murat Yağmurlu, Ali Sercan Karakaş","doi":"10.1016/j.wavemoti.2024.103342","DOIUrl":"https://doi.org/10.1016/j.wavemoti.2024.103342","url":null,"abstract":"<div><p>In the current study, the Modified Equal-Width (MEW) equation will be handled numerically by a novel technique using collocation finite element method where cubic Hermite B-splines are used as trial functions. To test the accuracy and efficiency of the method, four different experimental problems; namely, the motion of a single solitary wave, interaction of two solitary waves, interaction of three solitary waves and the birth of solitons with the Maxwellian initial condition will be investigated. In order to verify, the validity and reliability of the proposed method, the newly obtained error norms <span><math><msub><mrow><mi>L</mi></mrow><mrow><mn>2</mn></mrow></msub></math></span> and <span><math><msub><mrow><mi>L</mi></mrow><mrow><mi>∞</mi></mrow></msub></math></span> as well as three conservation constants have been compared with some of the other numerical results given in the literature at the same parameters. Furthermore, some wave profiles of the newly obtained numerical results have been given to demonstrate that each test problem exhibits accurate physical simulations. The advantage of the proposed method over other methods is the usage of inner points at Legendre and Chebyshev polynomial roots. This advantage results in better accuracy with less number of elements in spatial direction. The results of the numerical experiments clearly reveal that the presented scheme produces more accurate results even with comparatively coarser grids.</p></div>","PeriodicalId":49367,"journal":{"name":"Wave Motion","volume":"129 ","pages":"Article 103342"},"PeriodicalIF":2.4,"publicationDate":"2024-05-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140900863","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}

引用次数: 0

Modelling surface waves on shear current with quadratic depth-dependence 具有二次深度依赖性的剪切流面波建模

IF 2.4 3区物理与天体物理

Wave Motion Pub Date : 2024-05-06 DOI: 10.1016/j.wavemoti.2024.103343

Conor Curtin, Rossen Ivanov

引用次数: 0

W-shaped soliton, breather and rogue wave solutions on the elliptic function background in a fifth-order nonlinear Schrödinger equation 五阶非线性薛定谔方程中椭圆函数背景上的 W 形孤子、呼吸波和流氓波解决方案

IF 2.4 3区物理与天体物理

Wave Motion Pub Date : 2024-05-03 DOI: 10.1016/j.wavemoti.2024.103334

Fang-Cheng Fan , Wei-Kang Xie

{"title":"W-shaped soliton, breather and rogue wave solutions on the elliptic function background in a fifth-order nonlinear Schrödinger equation","authors":"Fang-Cheng Fan , Wei-Kang Xie","doi":"10.1016/j.wavemoti.2024.103334","DOIUrl":"https://doi.org/10.1016/j.wavemoti.2024.103334","url":null,"abstract":"<div><p>In this paper, we investigate a fifth-order nonlinear Schrödinger equation, which can be applied to describe the propagation of ultrashort pulses in optical fibers. We provide the eigenfunctions of the Lax pair associated with the elliptic function seed solutions cn and dn. Using the Darboux transformation method, the W-shaped solitons, breathers, periodic solutions and rogue waves on the elliptic functions cn and dn background are obtained, the corresponding dynamical properties and evolutions are illustrated graphically by choosing proper parameters, the variations for amplitudes and periods of these solutions are analyzed. The relationship between parameters and solutions’ structures is discussed. To the best of our knowledge, the W-shaped solitons on the elliptic function background are presented for the first time. The results in this paper might be useful for us to understand some characteristics and relations of breathers and rogue waves on the elliptic functions cn and dn background in various physical equations with higher-order effects.</p></div>","PeriodicalId":49367,"journal":{"name":"Wave Motion","volume":"129 ","pages":"Article 103334"},"PeriodicalIF":2.4,"publicationDate":"2024-05-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140894552","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}

引用次数: 0

Fully conservative difference schemes for the rotation-two-component Camassa–Holm system with smooth/nonsmooth initial data 具有平滑/非平滑初始数据的旋转二分量卡马萨-霍尔姆系统的完全保守差分方案

IF 2.4 3区物理与天体物理

Wave Motion Pub Date : 2024-04-30 DOI: 10.1016/j.wavemoti.2024.103333

Tong Yan , Jiwei Zhang , Qifeng Zhang

引用次数: 0

Diffraction by a set of collinear cracks on a square lattice: An iterative Wiener–Hopf method 正方形晶格上一组共线裂缝的衍射：维纳-霍普夫迭代法

IF 2.4 3区物理与天体物理

Wave Motion Pub Date : 2024-04-27 DOI: 10.1016/j.wavemoti.2024.103332

Elena Medvedeva, Raphael Assier, Anastasia Kisil

引用次数: 0

Scaling of waves between monotone slopes 单调斜坡之间的波形缩放

IF 2.4 3区物理与天体物理

Wave Motion Pub Date : 2024-04-23 DOI: 10.1016/j.wavemoti.2024.103330

E. van Groesen , A. Shabrina , A.L. Latifah , Andonowati

{"title":"Scaling of waves between monotone slopes","authors":"E. van Groesen , A. Shabrina , A.L. Latifah , Andonowati","doi":"10.1016/j.wavemoti.2024.103330","DOIUrl":"10.1016/j.wavemoti.2024.103330","url":null,"abstract":"<div><p>Long crested waves above monotone bathymetries with different steepness are shown to be related by a time scaling. The scaling is explicitly present in the usual WKB approximation and more generally in the Hamiltonian potential theory for incompressible, irrotational inviscid fluid motion (Zakharov, 1968). The scaling uses the depth instead of the spatial distance as position marker, which is a canonical transformation in the action functional. This implies that waves above different slopes are related by a simple space-time scaling. At depths before near-coastal effects of run-up become relevant, the scaling property is valuable for understanding the wave propagation and may reduce laboratory experiments. Taking into account non-Hamiltonian coastal effects of breaking and coastal run-up, nonlinear simulations show correlations above 0.8 for waves above different slopes until a typical depth for many offshore activities of 15 m (Forrsitall, 2004). Numerical simulations with second- and third order nonlinearity are performed with <em>HAWASS</em>I software (Kurnia and Van Groesen, 2014), a variant of a higher order spectral method (Dommermuth and Yue, 1987; West et al., 1987). An example of the scaling is also shown to be present for an air-water CFD potential simulation (Aggarwal et al., 2020).</p></div>","PeriodicalId":49367,"journal":{"name":"Wave Motion","volume":"129 ","pages":"Article 103330"},"PeriodicalIF":2.4,"publicationDate":"2024-04-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140782415","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}

引用次数: 0

Wronskian solutions, bilinear Bäcklund transformation, quasi-periodic waves and asymptotic behaviors for a (3+1)-dimensional generalized Kadomtsev–Petviashvili equation (3+1)-dimensional generalized Kadomtsev-Petviashvili equation 的 Wronskian 解、双线性 Bäcklund 变换、准周期波和渐近行为

IF 2.4 3区物理与天体物理

Wave Motion Pub Date : 2024-04-16 DOI: 10.1016/j.wavemoti.2024.103327

Caifeng Zhang, Zhonglong Zhao, Juan Yue

{"title":"Wronskian solutions, bilinear Bäcklund transformation, quasi-periodic waves and asymptotic behaviors for a (3+1)-dimensional generalized Kadomtsev–Petviashvili equation","authors":"Caifeng Zhang, Zhonglong Zhao, Juan Yue","doi":"10.1016/j.wavemoti.2024.103327","DOIUrl":"https://doi.org/10.1016/j.wavemoti.2024.103327","url":null,"abstract":"<div><p>In this paper, we investigate the integrability of a (3+1)-dimensional generalized Kadomtsev–Petviashvili equation, which is widely used in fluid mechanics and theoretical physics. The <span><math><mi>N</mi></math></span>-soliton solution is obtained via the Hirota’s bilinear method. The Wronskian solution is derived by using the Wronskian technique for the bilinear form. Through the exchange formula, we deduce the bilinear Bäcklund transformation consisting of four equations and six parameters. In order to consider the quasi-periodic wave having complex structure, one-, two- and three-periodic waves are investigated systemically by combining the Hirota’s bilinear method with Riemann theta function. Furthermore, the corresponding graphs of periodic wave are presented by considering the geometric properties between the characteristic lines. The propagation characteristics of periodic waves are investigated by virtue of the characteristic lines. Finally, the asymptotic relationships between quasi-periodic wave solutions and soliton solutions are established theoretically under a condition of the small amplitude limit. The analytical method used in this paper can be applied in other integrable systems.</p></div>","PeriodicalId":49367,"journal":{"name":"Wave Motion","volume":"128 ","pages":"Article 103327"},"PeriodicalIF":2.4,"publicationDate":"2024-04-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140622171","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}

引用次数: 0

A time-domain spectral finite element method for acoustoelasticity: Modeling the effect of mechanical loading on guided wave propagation 声弹性时域谱有限元方法：模拟机械负载对导波传播的影响

IF 2.4 3区物理与天体物理

Wave Motion Pub Date : 2024-04-16 DOI: 10.1016/j.wavemoti.2024.103328

André Dalmora , Alexandre Imperiale , Sebastien Imperiale , Philippe Moireau

{"title":"A time-domain spectral finite element method for acoustoelasticity: Modeling the effect of mechanical loading on guided wave propagation","authors":"André Dalmora , Alexandre Imperiale , Sebastien Imperiale , Philippe Moireau","doi":"10.1016/j.wavemoti.2024.103328","DOIUrl":"10.1016/j.wavemoti.2024.103328","url":null,"abstract":"<div><p>Ultrasonic testing techniques such as guided wave-based structural health monitoring aim to evaluate the integrity of a material with sensors and actuators that operate <em>in situ</em>, <em>i.e.</em> while the material is in use. Since ultrasonic wave propagation is sensitive to environmental conditions such as pre-deformation of the structure, the design and performance evaluation of monitoring systems in this context is a complicated task that requires quantitative data and the associated modeling effort. In our work, we propose a set of numerical tools to solve the problem of mechanical wave propagation in materials subjected to pre-deformation. This type of configuration is usually treated in the domain of acoustoelasticity. A relevant modeling approach is to consider two different problems: a quasi-static nonlinear problem for the large displacement field of the structure and a linearized time-domain wave propagation problem. After carefully reviewing the modeling ingredients to represent the configurations of interest, we propose an original combination of numerical tools that leads to a computationally efficient algorithm. More specifically, we use 3D shell elements for the quasi-static nonlinear problem and the time-domain spectral finite element method to numerically solve the wave propagation problem. Our approach can represent any type of material constitutive law, geometry or mechanical solicitation. We present realistic numerical results on 3D cases related to the monitoring of both isotropic and anisotropic materials, illustrating the genericity and efficiency of our method. We also validate our approach by comparing it to experimental data from the literature.</p></div>","PeriodicalId":49367,"journal":{"name":"Wave Motion","volume":"129 ","pages":"Article 103328"},"PeriodicalIF":2.4,"publicationDate":"2024-04-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140778515","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}

引用次数: 0